Added benchmarks

Former-commit-id: 6979a9aece

examples/benchmarkRegions.sh

@@ -0,0 +1,41 @@
+#!/bin/bash
+
+if [ "$#" != 1 ];
+then
+	echo "Wrong number of arguments! Provide a filename for the results!"
+elif [ -a $1 ]; then
+	echo "File for results already exists!"
+else
+DIR="$( cd "$( dirname "${BASH_SOURCE[0]}" )" && pwd )"
+executable=$DIR/../build/src/storm
+
+declare -a modeltypes=("pdtmc" "pmdp")
+
+for modeltype in "${modeltypes[@]}"
+do
+if [ "$modeltype" == "pdtmc" ];
+then	
+#	declare -a models=("crowds" "nand" "brp_rewards2" "brp_rewards4" "brp")
+	dobisim="-bisim"
+else
+#	declare -a models=("brp" "coin2" "coin4" "zeroconf" "reporter2" "reporter4")
+	declare -a models=( "zeroconf" "reporter2" "reporter4")
+	dobisim=""
+fi
+	for model in "${models[@]}"
+	do
+		modelfolder="$DIR/$modeltype/$model"
+		while read instance;
+		do
+		
+		echo "Working on $modelfolder/$instance"
+		echo >> $1
+		echo "-------------------------------------------------------------" >> $1
+		echo "---- WORKING ON: $modelfolder/$instance ----" >>$1
+		echo "-------------------------------------------------------------" >> $1
+		"$executable" -s $modelfolder/$instance $dobisim --prop $modelfolder/$model.prctl --parametric --parametricRegion --region:regionfile $modelfolder/$model"_regions.txt" >> $1
+		done < "$modelfolder/models"
+
+	done
+done
+fi

examples/pdtmc/brp/brp.pm

@@ -0,0 +1,135 @@
+// bounded retransmission protocol [D'AJJL01]
+// gxn/dxp 23/05/2001
+
+dtmc
+
+// number of chunks
+const int N;
+// maximum number of retransmissions
+const int MAX;
+
+// reliability of channels
+const double pL;
+const double pK;
+
+module sender
+
+    s : [0..6];
+    // 0 idle
+    // 1 next_frame 
+    // 2 wait_ack
+    // 3 retransmit
+    // 4 success
+    // 5 error
+    // 6 wait sync
+    srep : [0..3];
+    // 0 bottom
+    // 1 not ok (nok)
+    // 2 do not know (dk)
+    // 3 ok (ok)
+    nrtr : [0..MAX];
+    i : [0..N];
+    bs : bool;
+    s_ab : bool;
+    fs : bool;
+    ls : bool;
+    
+    // idle
+    [NewFile] (s=0) -> (s'=1) & (i'=1) & (srep'=0);
+    // next_frame
+    [aF] (s=1) -> (s'=2) & (fs'=(i=1)) & (ls'=(i=N)) & (bs'=s_ab) & (nrtr'=0);
+    // wait_ack
+    [aB] (s=2) -> (s'=4) & (s_ab'=!s_ab);
+    [TO_Msg] (s=2) -> (s'=3);
+    [TO_Ack] (s=2) -> (s'=3);
+    // retransmit
+    [aF] (s=3) & (nrtr<MAX) -> (s'=2) & (fs'=(i=1)) & (ls'=(i=N)) & (bs'=s_ab) & (nrtr'=nrtr+1);
+    [] (s=3) & (nrtr=MAX) & (i<N) -> (s'=5) & (srep'=1);
+    [] (s=3) & (nrtr=MAX) & (i=N) -> (s'=5) & (srep'=2);
+    // success
+    [] (s=4) & (i<N) -> (s'=1) & (i'=i+1);
+    [] (s=4) & (i=N) -> (s'=0) & (srep'=3);
+    // error
+    [SyncWait] (s=5) -> (s'=6); 
+    // wait sync
+    [SyncWait] (s=6) -> (s'=0) & (s_ab'=false); 
+    
+endmodule
+
+module receiver
+
+    r : [0..5];
+    // 0 new_file
+    // 1 fst_safe
+    // 2 frame_received
+    // 3 frame_reported
+    // 4 idle
+    // 5 resync
+    rrep : [0..4];
+    // 0 bottom
+    // 1 fst
+    // 2 inc
+    // 3 ok
+    // 4 nok
+    fr : bool;
+    lr : bool;
+    br : bool;
+    r_ab : bool;
+    recv : bool;
+    
+    
+    // new_file
+    [SyncWait] (r=0) -> (r'=0);
+    [aG] (r=0) -> (r'=1) & (fr'=fs) & (lr'=ls) & (br'=bs) & (recv'=T);
+    // fst_safe_frame
+    [] (r=1) -> (r'=2) & (r_ab'=br);
+    // frame_received
+    [] (r=2) & (r_ab=br) & (fr=true) & (lr=false)  -> (r'=3) & (rrep'=1);
+    [] (r=2) & (r_ab=br) & (fr=false) & (lr=false) -> (r'=3) & (rrep'=2);
+    [] (r=2) & (r_ab=br) & (fr=false) & (lr=true)  -> (r'=3) & (rrep'=3);
+    [aA] (r=2) & !(r_ab=br) -> (r'=4);  
+    // frame_reported
+    [aA] (r=3) -> (r'=4) & (r_ab'=!r_ab);
+    // idle
+    [aG] (r=4) -> (r'=2) & (fr'=fs) & (lr'=ls) & (br'=bs) & (recv'=T);
+    [SyncWait] (r=4) & (ls=true) -> (r'=5);
+    [SyncWait] (r=4) & (ls=false) -> (r'=5) & (rrep'=4);
+    // resync
+    [SyncWait] (r=5) -> (r'=0) & (rrep'=0);
+    
+endmodule
+
+// prevents more than one file being sent
+module tester 
+
+    T : bool;
+    
+    [NewFile] (T=false) -> (T'=true);
+    
+endmodule
+
+module  channelK
+
+    k : [0..2];
+    
+    // idle
+    [aF] (k=0) -> pK : (k'=1) + 1-pK : (k'=2);
+    // sending
+    [aG] (k=1) -> (k'=0);
+    // lost
+    [TO_Msg] (k=2) -> (k'=0);
+    
+endmodule
+
+module  channelL
+
+    l : [0..2];
+    
+    // idle
+    [aA] (l=0) -> pL : (l'=1) + 1-pL : (l'=2);
+    // sending
+    [aB] (l=1) -> (l'=0);
+    // lost
+    [TO_Ack] (l=2) -> (l'=0);
+    
+endmodule

examples/pdtmc/brp/models

@@ -0,0 +1,5 @@
+brp.pm -const N=256,MAX=5
+brp.pm -const N=512,MAX=5
+brp.pm -const N=1024,MAX=5
+
+

examples/pdtmc/brp_rewards/brp_rewards_rew_regions.txt

@@ -1,625 +0,0 @@
-0.000010<=TOMsg<=0.040000, 0.000010<=TOAck<=0.040000;
-0.000010<=TOMsg<=0.040000, 0.040000<=TOAck<=0.080000;
-0.000010<=TOMsg<=0.040000, 0.080000<=TOAck<=0.120000;
-0.000010<=TOMsg<=0.040000, 0.120000<=TOAck<=0.160000;
-0.000010<=TOMsg<=0.040000, 0.160000<=TOAck<=0.200000;
-0.000010<=TOMsg<=0.040000, 0.200000<=TOAck<=0.240000;
-0.000010<=TOMsg<=0.040000, 0.240000<=TOAck<=0.280000;
-0.000010<=TOMsg<=0.040000, 0.280000<=TOAck<=0.320000;
-0.000010<=TOMsg<=0.040000, 0.320000<=TOAck<=0.360000;
-0.000010<=TOMsg<=0.040000, 0.360000<=TOAck<=0.400000;
-0.000010<=TOMsg<=0.040000, 0.400000<=TOAck<=0.440000;
-0.000010<=TOMsg<=0.040000, 0.440000<=TOAck<=0.480000;
-0.000010<=TOMsg<=0.040000, 0.480000<=TOAck<=0.520000;
-0.000010<=TOMsg<=0.040000, 0.520000<=TOAck<=0.560000;
-0.000010<=TOMsg<=0.040000, 0.560000<=TOAck<=0.600000;
-0.000010<=TOMsg<=0.040000, 0.600000<=TOAck<=0.640000;
-0.000010<=TOMsg<=0.040000, 0.640000<=TOAck<=0.680000;
-0.000010<=TOMsg<=0.040000, 0.680000<=TOAck<=0.720000;
-0.000010<=TOMsg<=0.040000, 0.720000<=TOAck<=0.760000;
-0.000010<=TOMsg<=0.040000, 0.760000<=TOAck<=0.800000;
-0.000010<=TOMsg<=0.040000, 0.800000<=TOAck<=0.840000;
-0.000010<=TOMsg<=0.040000, 0.840000<=TOAck<=0.880000;
-0.000010<=TOMsg<=0.040000, 0.880000<=TOAck<=0.920000;
-0.000010<=TOMsg<=0.040000, 0.920000<=TOAck<=0.960000;
-0.000010<=TOMsg<=0.040000, 0.960000<=TOAck<=0.999990;
-0.040000<=TOMsg<=0.080000, 0.000010<=TOAck<=0.040000;
-0.040000<=TOMsg<=0.080000, 0.040000<=TOAck<=0.080000;
-0.040000<=TOMsg<=0.080000, 0.080000<=TOAck<=0.120000;
-0.040000<=TOMsg<=0.080000, 0.120000<=TOAck<=0.160000;
-0.040000<=TOMsg<=0.080000, 0.160000<=TOAck<=0.200000;
-0.040000<=TOMsg<=0.080000, 0.200000<=TOAck<=0.240000;
-0.040000<=TOMsg<=0.080000, 0.240000<=TOAck<=0.280000;
-0.040000<=TOMsg<=0.080000, 0.280000<=TOAck<=0.320000;
-0.040000<=TOMsg<=0.080000, 0.320000<=TOAck<=0.360000;
-0.040000<=TOMsg<=0.080000, 0.360000<=TOAck<=0.400000;
-0.040000<=TOMsg<=0.080000, 0.400000<=TOAck<=0.440000;
-0.040000<=TOMsg<=0.080000, 0.440000<=TOAck<=0.480000;
-0.040000<=TOMsg<=0.080000, 0.480000<=TOAck<=0.520000;
-0.040000<=TOMsg<=0.080000, 0.520000<=TOAck<=0.560000;
-0.040000<=TOMsg<=0.080000, 0.560000<=TOAck<=0.600000;
-0.040000<=TOMsg<=0.080000, 0.600000<=TOAck<=0.640000;
-0.040000<=TOMsg<=0.080000, 0.640000<=TOAck<=0.680000;
-0.040000<=TOMsg<=0.080000, 0.680000<=TOAck<=0.720000;
-0.040000<=TOMsg<=0.080000, 0.720000<=TOAck<=0.760000;
-0.040000<=TOMsg<=0.080000, 0.760000<=TOAck<=0.800000;
-0.040000<=TOMsg<=0.080000, 0.800000<=TOAck<=0.840000;
-0.040000<=TOMsg<=0.080000, 0.840000<=TOAck<=0.880000;
-0.040000<=TOMsg<=0.080000, 0.880000<=TOAck<=0.920000;
-0.040000<=TOMsg<=0.080000, 0.920000<=TOAck<=0.960000;
-0.040000<=TOMsg<=0.080000, 0.960000<=TOAck<=0.999990;
-0.080000<=TOMsg<=0.120000, 0.000010<=TOAck<=0.040000;
-0.080000<=TOMsg<=0.120000, 0.040000<=TOAck<=0.080000;
-0.080000<=TOMsg<=0.120000, 0.080000<=TOAck<=0.120000;
-0.080000<=TOMsg<=0.120000, 0.120000<=TOAck<=0.160000;
-0.080000<=TOMsg<=0.120000, 0.160000<=TOAck<=0.200000;
-0.080000<=TOMsg<=0.120000, 0.200000<=TOAck<=0.240000;
-0.080000<=TOMsg<=0.120000, 0.240000<=TOAck<=0.280000;
-0.080000<=TOMsg<=0.120000, 0.280000<=TOAck<=0.320000;
-0.080000<=TOMsg<=0.120000, 0.320000<=TOAck<=0.360000;
-0.080000<=TOMsg<=0.120000, 0.360000<=TOAck<=0.400000;
-0.080000<=TOMsg<=0.120000, 0.400000<=TOAck<=0.440000;
-0.080000<=TOMsg<=0.120000, 0.440000<=TOAck<=0.480000;
-0.080000<=TOMsg<=0.120000, 0.480000<=TOAck<=0.520000;
-0.080000<=TOMsg<=0.120000, 0.520000<=TOAck<=0.560000;
-0.080000<=TOMsg<=0.120000, 0.560000<=TOAck<=0.600000;
-0.080000<=TOMsg<=0.120000, 0.600000<=TOAck<=0.640000;
-0.080000<=TOMsg<=0.120000, 0.640000<=TOAck<=0.680000;
-0.080000<=TOMsg<=0.120000, 0.680000<=TOAck<=0.720000;
-0.080000<=TOMsg<=0.120000, 0.720000<=TOAck<=0.760000;
-0.080000<=TOMsg<=0.120000, 0.760000<=TOAck<=0.800000;
-0.080000<=TOMsg<=0.120000, 0.800000<=TOAck<=0.840000;
-0.080000<=TOMsg<=0.120000, 0.840000<=TOAck<=0.880000;
-0.080000<=TOMsg<=0.120000, 0.880000<=TOAck<=0.920000;
-0.080000<=TOMsg<=0.120000, 0.920000<=TOAck<=0.960000;
-0.080000<=TOMsg<=0.120000, 0.960000<=TOAck<=0.999990;
-0.120000<=TOMsg<=0.160000, 0.000010<=TOAck<=0.040000;
-0.120000<=TOMsg<=0.160000, 0.040000<=TOAck<=0.080000;
-0.120000<=TOMsg<=0.160000, 0.080000<=TOAck<=0.120000;
-0.120000<=TOMsg<=0.160000, 0.120000<=TOAck<=0.160000;
-0.120000<=TOMsg<=0.160000, 0.160000<=TOAck<=0.200000;
-0.120000<=TOMsg<=0.160000, 0.200000<=TOAck<=0.240000;
-0.120000<=TOMsg<=0.160000, 0.240000<=TOAck<=0.280000;
-0.120000<=TOMsg<=0.160000, 0.280000<=TOAck<=0.320000;
-0.120000<=TOMsg<=0.160000, 0.320000<=TOAck<=0.360000;
-0.120000<=TOMsg<=0.160000, 0.360000<=TOAck<=0.400000;
-0.120000<=TOMsg<=0.160000, 0.400000<=TOAck<=0.440000;
-0.120000<=TOMsg<=0.160000, 0.440000<=TOAck<=0.480000;
-0.120000<=TOMsg<=0.160000, 0.480000<=TOAck<=0.520000;
-0.120000<=TOMsg<=0.160000, 0.520000<=TOAck<=0.560000;
-0.120000<=TOMsg<=0.160000, 0.560000<=TOAck<=0.600000;
-0.120000<=TOMsg<=0.160000, 0.600000<=TOAck<=0.640000;
-0.120000<=TOMsg<=0.160000, 0.640000<=TOAck<=0.680000;
-0.120000<=TOMsg<=0.160000, 0.680000<=TOAck<=0.720000;
-0.120000<=TOMsg<=0.160000, 0.720000<=TOAck<=0.760000;
-0.120000<=TOMsg<=0.160000, 0.760000<=TOAck<=0.800000;
-0.120000<=TOMsg<=0.160000, 0.800000<=TOAck<=0.840000;
-0.120000<=TOMsg<=0.160000, 0.840000<=TOAck<=0.880000;
-0.120000<=TOMsg<=0.160000, 0.880000<=TOAck<=0.920000;
-0.120000<=TOMsg<=0.160000, 0.920000<=TOAck<=0.960000;
-0.120000<=TOMsg<=0.160000, 0.960000<=TOAck<=0.999990;
-0.160000<=TOMsg<=0.200000, 0.000010<=TOAck<=0.040000;
-0.160000<=TOMsg<=0.200000, 0.040000<=TOAck<=0.080000;
-0.160000<=TOMsg<=0.200000, 0.080000<=TOAck<=0.120000;
-0.160000<=TOMsg<=0.200000, 0.120000<=TOAck<=0.160000;
-0.160000<=TOMsg<=0.200000, 0.160000<=TOAck<=0.200000;
-0.160000<=TOMsg<=0.200000, 0.200000<=TOAck<=0.240000;
-0.160000<=TOMsg<=0.200000, 0.240000<=TOAck<=0.280000;
-0.160000<=TOMsg<=0.200000, 0.280000<=TOAck<=0.320000;
-0.160000<=TOMsg<=0.200000, 0.320000<=TOAck<=0.360000;
-0.160000<=TOMsg<=0.200000, 0.360000<=TOAck<=0.400000;
-0.160000<=TOMsg<=0.200000, 0.400000<=TOAck<=0.440000;
-0.160000<=TOMsg<=0.200000, 0.440000<=TOAck<=0.480000;
-0.160000<=TOMsg<=0.200000, 0.480000<=TOAck<=0.520000;
-0.160000<=TOMsg<=0.200000, 0.520000<=TOAck<=0.560000;
-0.160000<=TOMsg<=0.200000, 0.560000<=TOAck<=0.600000;
-0.160000<=TOMsg<=0.200000, 0.600000<=TOAck<=0.640000;
-0.160000<=TOMsg<=0.200000, 0.640000<=TOAck<=0.680000;
-0.160000<=TOMsg<=0.200000, 0.680000<=TOAck<=0.720000;
-0.160000<=TOMsg<=0.200000, 0.720000<=TOAck<=0.760000;
-0.160000<=TOMsg<=0.200000, 0.760000<=TOAck<=0.800000;
-0.160000<=TOMsg<=0.200000, 0.800000<=TOAck<=0.840000;
-0.160000<=TOMsg<=0.200000, 0.840000<=TOAck<=0.880000;
-0.160000<=TOMsg<=0.200000, 0.880000<=TOAck<=0.920000;
-0.160000<=TOMsg<=0.200000, 0.920000<=TOAck<=0.960000;
-0.160000<=TOMsg<=0.200000, 0.960000<=TOAck<=0.999990;
-0.200000<=TOMsg<=0.240000, 0.000010<=TOAck<=0.040000;
-0.200000<=TOMsg<=0.240000, 0.040000<=TOAck<=0.080000;
-0.200000<=TOMsg<=0.240000, 0.080000<=TOAck<=0.120000;
-0.200000<=TOMsg<=0.240000, 0.120000<=TOAck<=0.160000;
-0.200000<=TOMsg<=0.240000, 0.160000<=TOAck<=0.200000;
-0.200000<=TOMsg<=0.240000, 0.200000<=TOAck<=0.240000;
-0.200000<=TOMsg<=0.240000, 0.240000<=TOAck<=0.280000;
-0.200000<=TOMsg<=0.240000, 0.280000<=TOAck<=0.320000;
-0.200000<=TOMsg<=0.240000, 0.320000<=TOAck<=0.360000;
-0.200000<=TOMsg<=0.240000, 0.360000<=TOAck<=0.400000;
-0.200000<=TOMsg<=0.240000, 0.400000<=TOAck<=0.440000;
-0.200000<=TOMsg<=0.240000, 0.440000<=TOAck<=0.480000;
-0.200000<=TOMsg<=0.240000, 0.480000<=TOAck<=0.520000;
-0.200000<=TOMsg<=0.240000, 0.520000<=TOAck<=0.560000;
-0.200000<=TOMsg<=0.240000, 0.560000<=TOAck<=0.600000;
-0.200000<=TOMsg<=0.240000, 0.600000<=TOAck<=0.640000;
-0.200000<=TOMsg<=0.240000, 0.640000<=TOAck<=0.680000;
-0.200000<=TOMsg<=0.240000, 0.680000<=TOAck<=0.720000;
-0.200000<=TOMsg<=0.240000, 0.720000<=TOAck<=0.760000;
-0.200000<=TOMsg<=0.240000, 0.760000<=TOAck<=0.800000;
-0.200000<=TOMsg<=0.240000, 0.800000<=TOAck<=0.840000;
-0.200000<=TOMsg<=0.240000, 0.840000<=TOAck<=0.880000;
-0.200000<=TOMsg<=0.240000, 0.880000<=TOAck<=0.920000;
-0.200000<=TOMsg<=0.240000, 0.920000<=TOAck<=0.960000;
-0.200000<=TOMsg<=0.240000, 0.960000<=TOAck<=0.999990;
-0.240000<=TOMsg<=0.280000, 0.000010<=TOAck<=0.040000;
-0.240000<=TOMsg<=0.280000, 0.040000<=TOAck<=0.080000;
-0.240000<=TOMsg<=0.280000, 0.080000<=TOAck<=0.120000;
-0.240000<=TOMsg<=0.280000, 0.120000<=TOAck<=0.160000;
-0.240000<=TOMsg<=0.280000, 0.160000<=TOAck<=0.200000;
-0.240000<=TOMsg<=0.280000, 0.200000<=TOAck<=0.240000;
-0.240000<=TOMsg<=0.280000, 0.240000<=TOAck<=0.280000;
-0.240000<=TOMsg<=0.280000, 0.280000<=TOAck<=0.320000;
-0.240000<=TOMsg<=0.280000, 0.320000<=TOAck<=0.360000;
-0.240000<=TOMsg<=0.280000, 0.360000<=TOAck<=0.400000;
-0.240000<=TOMsg<=0.280000, 0.400000<=TOAck<=0.440000;
-0.240000<=TOMsg<=0.280000, 0.440000<=TOAck<=0.480000;
-0.240000<=TOMsg<=0.280000, 0.480000<=TOAck<=0.520000;
-0.240000<=TOMsg<=0.280000, 0.520000<=TOAck<=0.560000;
-0.240000<=TOMsg<=0.280000, 0.560000<=TOAck<=0.600000;
-0.240000<=TOMsg<=0.280000, 0.600000<=TOAck<=0.640000;
-0.240000<=TOMsg<=0.280000, 0.640000<=TOAck<=0.680000;
-0.240000<=TOMsg<=0.280000, 0.680000<=TOAck<=0.720000;
-0.240000<=TOMsg<=0.280000, 0.720000<=TOAck<=0.760000;
-0.240000<=TOMsg<=0.280000, 0.760000<=TOAck<=0.800000;
-0.240000<=TOMsg<=0.280000, 0.800000<=TOAck<=0.840000;
-0.240000<=TOMsg<=0.280000, 0.840000<=TOAck<=0.880000;
-0.240000<=TOMsg<=0.280000, 0.880000<=TOAck<=0.920000;
-0.240000<=TOMsg<=0.280000, 0.920000<=TOAck<=0.960000;
-0.240000<=TOMsg<=0.280000, 0.960000<=TOAck<=0.999990;
-0.280000<=TOMsg<=0.320000, 0.000010<=TOAck<=0.040000;
-0.280000<=TOMsg<=0.320000, 0.040000<=TOAck<=0.080000;
-0.280000<=TOMsg<=0.320000, 0.080000<=TOAck<=0.120000;
-0.280000<=TOMsg<=0.320000, 0.120000<=TOAck<=0.160000;
-0.280000<=TOMsg<=0.320000, 0.160000<=TOAck<=0.200000;
-0.280000<=TOMsg<=0.320000, 0.200000<=TOAck<=0.240000;
-0.280000<=TOMsg<=0.320000, 0.240000<=TOAck<=0.280000;
-0.280000<=TOMsg<=0.320000, 0.280000<=TOAck<=0.320000;
-0.280000<=TOMsg<=0.320000, 0.320000<=TOAck<=0.360000;
-0.280000<=TOMsg<=0.320000, 0.360000<=TOAck<=0.400000;
-0.280000<=TOMsg<=0.320000, 0.400000<=TOAck<=0.440000;
-0.280000<=TOMsg<=0.320000, 0.440000<=TOAck<=0.480000;
-0.280000<=TOMsg<=0.320000, 0.480000<=TOAck<=0.520000;
-0.280000<=TOMsg<=0.320000, 0.520000<=TOAck<=0.560000;
-0.280000<=TOMsg<=0.320000, 0.560000<=TOAck<=0.600000;
-0.280000<=TOMsg<=0.320000, 0.600000<=TOAck<=0.640000;
-0.280000<=TOMsg<=0.320000, 0.640000<=TOAck<=0.680000;
-0.280000<=TOMsg<=0.320000, 0.680000<=TOAck<=0.720000;
-0.280000<=TOMsg<=0.320000, 0.720000<=TOAck<=0.760000;
-0.280000<=TOMsg<=0.320000, 0.760000<=TOAck<=0.800000;
-0.280000<=TOMsg<=0.320000, 0.800000<=TOAck<=0.840000;
-0.280000<=TOMsg<=0.320000, 0.840000<=TOAck<=0.880000;
-0.280000<=TOMsg<=0.320000, 0.880000<=TOAck<=0.920000;
-0.280000<=TOMsg<=0.320000, 0.920000<=TOAck<=0.960000;
-0.280000<=TOMsg<=0.320000, 0.960000<=TOAck<=0.999990;
-0.320000<=TOMsg<=0.360000, 0.000010<=TOAck<=0.040000;
-0.320000<=TOMsg<=0.360000, 0.040000<=TOAck<=0.080000;
-0.320000<=TOMsg<=0.360000, 0.080000<=TOAck<=0.120000;
-0.320000<=TOMsg<=0.360000, 0.120000<=TOAck<=0.160000;
-0.320000<=TOMsg<=0.360000, 0.160000<=TOAck<=0.200000;
-0.320000<=TOMsg<=0.360000, 0.200000<=TOAck<=0.240000;
-0.320000<=TOMsg<=0.360000, 0.240000<=TOAck<=0.280000;
-0.320000<=TOMsg<=0.360000, 0.280000<=TOAck<=0.320000;
-0.320000<=TOMsg<=0.360000, 0.320000<=TOAck<=0.360000;
-0.320000<=TOMsg<=0.360000, 0.360000<=TOAck<=0.400000;
-0.320000<=TOMsg<=0.360000, 0.400000<=TOAck<=0.440000;
-0.320000<=TOMsg<=0.360000, 0.440000<=TOAck<=0.480000;
-0.320000<=TOMsg<=0.360000, 0.480000<=TOAck<=0.520000;
-0.320000<=TOMsg<=0.360000, 0.520000<=TOAck<=0.560000;
-0.320000<=TOMsg<=0.360000, 0.560000<=TOAck<=0.600000;
-0.320000<=TOMsg<=0.360000, 0.600000<=TOAck<=0.640000;
-0.320000<=TOMsg<=0.360000, 0.640000<=TOAck<=0.680000;
-0.320000<=TOMsg<=0.360000, 0.680000<=TOAck<=0.720000;
-0.320000<=TOMsg<=0.360000, 0.720000<=TOAck<=0.760000;
-0.320000<=TOMsg<=0.360000, 0.760000<=TOAck<=0.800000;
-0.320000<=TOMsg<=0.360000, 0.800000<=TOAck<=0.840000;
-0.320000<=TOMsg<=0.360000, 0.840000<=TOAck<=0.880000;
-0.320000<=TOMsg<=0.360000, 0.880000<=TOAck<=0.920000;
-0.320000<=TOMsg<=0.360000, 0.920000<=TOAck<=0.960000;
-0.320000<=TOMsg<=0.360000, 0.960000<=TOAck<=0.999990;
-0.360000<=TOMsg<=0.400000, 0.000010<=TOAck<=0.040000;
-0.360000<=TOMsg<=0.400000, 0.040000<=TOAck<=0.080000;
-0.360000<=TOMsg<=0.400000, 0.080000<=TOAck<=0.120000;
-0.360000<=TOMsg<=0.400000, 0.120000<=TOAck<=0.160000;
-0.360000<=TOMsg<=0.400000, 0.160000<=TOAck<=0.200000;
-0.360000<=TOMsg<=0.400000, 0.200000<=TOAck<=0.240000;
-0.360000<=TOMsg<=0.400000, 0.240000<=TOAck<=0.280000;
-0.360000<=TOMsg<=0.400000, 0.280000<=TOAck<=0.320000;
-0.360000<=TOMsg<=0.400000, 0.320000<=TOAck<=0.360000;
-0.360000<=TOMsg<=0.400000, 0.360000<=TOAck<=0.400000;
-0.360000<=TOMsg<=0.400000, 0.400000<=TOAck<=0.440000;
-0.360000<=TOMsg<=0.400000, 0.440000<=TOAck<=0.480000;
-0.360000<=TOMsg<=0.400000, 0.480000<=TOAck<=0.520000;
-0.360000<=TOMsg<=0.400000, 0.520000<=TOAck<=0.560000;
-0.360000<=TOMsg<=0.400000, 0.560000<=TOAck<=0.600000;
-0.360000<=TOMsg<=0.400000, 0.600000<=TOAck<=0.640000;
-0.360000<=TOMsg<=0.400000, 0.640000<=TOAck<=0.680000;
-0.360000<=TOMsg<=0.400000, 0.680000<=TOAck<=0.720000;
-0.360000<=TOMsg<=0.400000, 0.720000<=TOAck<=0.760000;
-0.360000<=TOMsg<=0.400000, 0.760000<=TOAck<=0.800000;
-0.360000<=TOMsg<=0.400000, 0.800000<=TOAck<=0.840000;
-0.360000<=TOMsg<=0.400000, 0.840000<=TOAck<=0.880000;
-0.360000<=TOMsg<=0.400000, 0.880000<=TOAck<=0.920000;
-0.360000<=TOMsg<=0.400000, 0.920000<=TOAck<=0.960000;
-0.360000<=TOMsg<=0.400000, 0.960000<=TOAck<=0.999990;
-0.400000<=TOMsg<=0.440000, 0.000010<=TOAck<=0.040000;
-0.400000<=TOMsg<=0.440000, 0.040000<=TOAck<=0.080000;
-0.400000<=TOMsg<=0.440000, 0.080000<=TOAck<=0.120000;
-0.400000<=TOMsg<=0.440000, 0.120000<=TOAck<=0.160000;
-0.400000<=TOMsg<=0.440000, 0.160000<=TOAck<=0.200000;
-0.400000<=TOMsg<=0.440000, 0.200000<=TOAck<=0.240000;
-0.400000<=TOMsg<=0.440000, 0.240000<=TOAck<=0.280000;
-0.400000<=TOMsg<=0.440000, 0.280000<=TOAck<=0.320000;
-0.400000<=TOMsg<=0.440000, 0.320000<=TOAck<=0.360000;
-0.400000<=TOMsg<=0.440000, 0.360000<=TOAck<=0.400000;
-0.400000<=TOMsg<=0.440000, 0.400000<=TOAck<=0.440000;
-0.400000<=TOMsg<=0.440000, 0.440000<=TOAck<=0.480000;
-0.400000<=TOMsg<=0.440000, 0.480000<=TOAck<=0.520000;
-0.400000<=TOMsg<=0.440000, 0.520000<=TOAck<=0.560000;
-0.400000<=TOMsg<=0.440000, 0.560000<=TOAck<=0.600000;
-0.400000<=TOMsg<=0.440000, 0.600000<=TOAck<=0.640000;
-0.400000<=TOMsg<=0.440000, 0.640000<=TOAck<=0.680000;
-0.400000<=TOMsg<=0.440000, 0.680000<=TOAck<=0.720000;
-0.400000<=TOMsg<=0.440000, 0.720000<=TOAck<=0.760000;
-0.400000<=TOMsg<=0.440000, 0.760000<=TOAck<=0.800000;
-0.400000<=TOMsg<=0.440000, 0.800000<=TOAck<=0.840000;
-0.400000<=TOMsg<=0.440000, 0.840000<=TOAck<=0.880000;
-0.400000<=TOMsg<=0.440000, 0.880000<=TOAck<=0.920000;
-0.400000<=TOMsg<=0.440000, 0.920000<=TOAck<=0.960000;
-0.400000<=TOMsg<=0.440000, 0.960000<=TOAck<=0.999990;
-0.440000<=TOMsg<=0.480000, 0.000010<=TOAck<=0.040000;
-0.440000<=TOMsg<=0.480000, 0.040000<=TOAck<=0.080000;
-0.440000<=TOMsg<=0.480000, 0.080000<=TOAck<=0.120000;
-0.440000<=TOMsg<=0.480000, 0.120000<=TOAck<=0.160000;
-0.440000<=TOMsg<=0.480000, 0.160000<=TOAck<=0.200000;
-0.440000<=TOMsg<=0.480000, 0.200000<=TOAck<=0.240000;
-0.440000<=TOMsg<=0.480000, 0.240000<=TOAck<=0.280000;
-0.440000<=TOMsg<=0.480000, 0.280000<=TOAck<=0.320000;
-0.440000<=TOMsg<=0.480000, 0.320000<=TOAck<=0.360000;
-0.440000<=TOMsg<=0.480000, 0.360000<=TOAck<=0.400000;
-0.440000<=TOMsg<=0.480000, 0.400000<=TOAck<=0.440000;
-0.440000<=TOMsg<=0.480000, 0.440000<=TOAck<=0.480000;
-0.440000<=TOMsg<=0.480000, 0.480000<=TOAck<=0.520000;
-0.440000<=TOMsg<=0.480000, 0.520000<=TOAck<=0.560000;
-0.440000<=TOMsg<=0.480000, 0.560000<=TOAck<=0.600000;
-0.440000<=TOMsg<=0.480000, 0.600000<=TOAck<=0.640000;
-0.440000<=TOMsg<=0.480000, 0.640000<=TOAck<=0.680000;
-0.440000<=TOMsg<=0.480000, 0.680000<=TOAck<=0.720000;
-0.440000<=TOMsg<=0.480000, 0.720000<=TOAck<=0.760000;
-0.440000<=TOMsg<=0.480000, 0.760000<=TOAck<=0.800000;
-0.440000<=TOMsg<=0.480000, 0.800000<=TOAck<=0.840000;
-0.440000<=TOMsg<=0.480000, 0.840000<=TOAck<=0.880000;
-0.440000<=TOMsg<=0.480000, 0.880000<=TOAck<=0.920000;
-0.440000<=TOMsg<=0.480000, 0.920000<=TOAck<=0.960000;
-0.440000<=TOMsg<=0.480000, 0.960000<=TOAck<=0.999990;
-0.480000<=TOMsg<=0.520000, 0.000010<=TOAck<=0.040000;
-0.480000<=TOMsg<=0.520000, 0.040000<=TOAck<=0.080000;
-0.480000<=TOMsg<=0.520000, 0.080000<=TOAck<=0.120000;
-0.480000<=TOMsg<=0.520000, 0.120000<=TOAck<=0.160000;
-0.480000<=TOMsg<=0.520000, 0.160000<=TOAck<=0.200000;
-0.480000<=TOMsg<=0.520000, 0.200000<=TOAck<=0.240000;
-0.480000<=TOMsg<=0.520000, 0.240000<=TOAck<=0.280000;
-0.480000<=TOMsg<=0.520000, 0.280000<=TOAck<=0.320000;
-0.480000<=TOMsg<=0.520000, 0.320000<=TOAck<=0.360000;
-0.480000<=TOMsg<=0.520000, 0.360000<=TOAck<=0.400000;
-0.480000<=TOMsg<=0.520000, 0.400000<=TOAck<=0.440000;
-0.480000<=TOMsg<=0.520000, 0.440000<=TOAck<=0.480000;
-0.480000<=TOMsg<=0.520000, 0.480000<=TOAck<=0.520000;
-0.480000<=TOMsg<=0.520000, 0.520000<=TOAck<=0.560000;
-0.480000<=TOMsg<=0.520000, 0.560000<=TOAck<=0.600000;
-0.480000<=TOMsg<=0.520000, 0.600000<=TOAck<=0.640000;
-0.480000<=TOMsg<=0.520000, 0.640000<=TOAck<=0.680000;
-0.480000<=TOMsg<=0.520000, 0.680000<=TOAck<=0.720000;
-0.480000<=TOMsg<=0.520000, 0.720000<=TOAck<=0.760000;
-0.480000<=TOMsg<=0.520000, 0.760000<=TOAck<=0.800000;
-0.480000<=TOMsg<=0.520000, 0.800000<=TOAck<=0.840000;
-0.480000<=TOMsg<=0.520000, 0.840000<=TOAck<=0.880000;
-0.480000<=TOMsg<=0.520000, 0.880000<=TOAck<=0.920000;
-0.480000<=TOMsg<=0.520000, 0.920000<=TOAck<=0.960000;
-0.480000<=TOMsg<=0.520000, 0.960000<=TOAck<=0.999990;
-0.520000<=TOMsg<=0.560000, 0.000010<=TOAck<=0.040000;
-0.520000<=TOMsg<=0.560000, 0.040000<=TOAck<=0.080000;
-0.520000<=TOMsg<=0.560000, 0.080000<=TOAck<=0.120000;
-0.520000<=TOMsg<=0.560000, 0.120000<=TOAck<=0.160000;
-0.520000<=TOMsg<=0.560000, 0.160000<=TOAck<=0.200000;
-0.520000<=TOMsg<=0.560000, 0.200000<=TOAck<=0.240000;
-0.520000<=TOMsg<=0.560000, 0.240000<=TOAck<=0.280000;
-0.520000<=TOMsg<=0.560000, 0.280000<=TOAck<=0.320000;
-0.520000<=TOMsg<=0.560000, 0.320000<=TOAck<=0.360000;
-0.520000<=TOMsg<=0.560000, 0.360000<=TOAck<=0.400000;
-0.520000<=TOMsg<=0.560000, 0.400000<=TOAck<=0.440000;
-0.520000<=TOMsg<=0.560000, 0.440000<=TOAck<=0.480000;
-0.520000<=TOMsg<=0.560000, 0.480000<=TOAck<=0.520000;
-0.520000<=TOMsg<=0.560000, 0.520000<=TOAck<=0.560000;
-0.520000<=TOMsg<=0.560000, 0.560000<=TOAck<=0.600000;
-0.520000<=TOMsg<=0.560000, 0.600000<=TOAck<=0.640000;
-0.520000<=TOMsg<=0.560000, 0.640000<=TOAck<=0.680000;
-0.520000<=TOMsg<=0.560000, 0.680000<=TOAck<=0.720000;
-0.520000<=TOMsg<=0.560000, 0.720000<=TOAck<=0.760000;
-0.520000<=TOMsg<=0.560000, 0.760000<=TOAck<=0.800000;
-0.520000<=TOMsg<=0.560000, 0.800000<=TOAck<=0.840000;
-0.520000<=TOMsg<=0.560000, 0.840000<=TOAck<=0.880000;
-0.520000<=TOMsg<=0.560000, 0.880000<=TOAck<=0.920000;
-0.520000<=TOMsg<=0.560000, 0.920000<=TOAck<=0.960000;
-0.520000<=TOMsg<=0.560000, 0.960000<=TOAck<=0.999990;
-0.560000<=TOMsg<=0.600000, 0.000010<=TOAck<=0.040000;
-0.560000<=TOMsg<=0.600000, 0.040000<=TOAck<=0.080000;
-0.560000<=TOMsg<=0.600000, 0.080000<=TOAck<=0.120000;
-0.560000<=TOMsg<=0.600000, 0.120000<=TOAck<=0.160000;
-0.560000<=TOMsg<=0.600000, 0.160000<=TOAck<=0.200000;
-0.560000<=TOMsg<=0.600000, 0.200000<=TOAck<=0.240000;
-0.560000<=TOMsg<=0.600000, 0.240000<=TOAck<=0.280000;
-0.560000<=TOMsg<=0.600000, 0.280000<=TOAck<=0.320000;
-0.560000<=TOMsg<=0.600000, 0.320000<=TOAck<=0.360000;
-0.560000<=TOMsg<=0.600000, 0.360000<=TOAck<=0.400000;
-0.560000<=TOMsg<=0.600000, 0.400000<=TOAck<=0.440000;
-0.560000<=TOMsg<=0.600000, 0.440000<=TOAck<=0.480000;
-0.560000<=TOMsg<=0.600000, 0.480000<=TOAck<=0.520000;
-0.560000<=TOMsg<=0.600000, 0.520000<=TOAck<=0.560000;
-0.560000<=TOMsg<=0.600000, 0.560000<=TOAck<=0.600000;
-0.560000<=TOMsg<=0.600000, 0.600000<=TOAck<=0.640000;
-0.560000<=TOMsg<=0.600000, 0.640000<=TOAck<=0.680000;
-0.560000<=TOMsg<=0.600000, 0.680000<=TOAck<=0.720000;
-0.560000<=TOMsg<=0.600000, 0.720000<=TOAck<=0.760000;
-0.560000<=TOMsg<=0.600000, 0.760000<=TOAck<=0.800000;
-0.560000<=TOMsg<=0.600000, 0.800000<=TOAck<=0.840000;
-0.560000<=TOMsg<=0.600000, 0.840000<=TOAck<=0.880000;
-0.560000<=TOMsg<=0.600000, 0.880000<=TOAck<=0.920000;
-0.560000<=TOMsg<=0.600000, 0.920000<=TOAck<=0.960000;
-0.560000<=TOMsg<=0.600000, 0.960000<=TOAck<=0.999990;
-0.600000<=TOMsg<=0.640000, 0.000010<=TOAck<=0.040000;
-0.600000<=TOMsg<=0.640000, 0.040000<=TOAck<=0.080000;
-0.600000<=TOMsg<=0.640000, 0.080000<=TOAck<=0.120000;
-0.600000<=TOMsg<=0.640000, 0.120000<=TOAck<=0.160000;
-0.600000<=TOMsg<=0.640000, 0.160000<=TOAck<=0.200000;
-0.600000<=TOMsg<=0.640000, 0.200000<=TOAck<=0.240000;
-0.600000<=TOMsg<=0.640000, 0.240000<=TOAck<=0.280000;
-0.600000<=TOMsg<=0.640000, 0.280000<=TOAck<=0.320000;
-0.600000<=TOMsg<=0.640000, 0.320000<=TOAck<=0.360000;
-0.600000<=TOMsg<=0.640000, 0.360000<=TOAck<=0.400000;
-0.600000<=TOMsg<=0.640000, 0.400000<=TOAck<=0.440000;
-0.600000<=TOMsg<=0.640000, 0.440000<=TOAck<=0.480000;
-0.600000<=TOMsg<=0.640000, 0.480000<=TOAck<=0.520000;
-0.600000<=TOMsg<=0.640000, 0.520000<=TOAck<=0.560000;
-0.600000<=TOMsg<=0.640000, 0.560000<=TOAck<=0.600000;
-0.600000<=TOMsg<=0.640000, 0.600000<=TOAck<=0.640000;
-0.600000<=TOMsg<=0.640000, 0.640000<=TOAck<=0.680000;
-0.600000<=TOMsg<=0.640000, 0.680000<=TOAck<=0.720000;
-0.600000<=TOMsg<=0.640000, 0.720000<=TOAck<=0.760000;
-0.600000<=TOMsg<=0.640000, 0.760000<=TOAck<=0.800000;
-0.600000<=TOMsg<=0.640000, 0.800000<=TOAck<=0.840000;
-0.600000<=TOMsg<=0.640000, 0.840000<=TOAck<=0.880000;
-0.600000<=TOMsg<=0.640000, 0.880000<=TOAck<=0.920000;
-0.600000<=TOMsg<=0.640000, 0.920000<=TOAck<=0.960000;
-0.600000<=TOMsg<=0.640000, 0.960000<=TOAck<=0.999990;
-0.640000<=TOMsg<=0.680000, 0.000010<=TOAck<=0.040000;
-0.640000<=TOMsg<=0.680000, 0.040000<=TOAck<=0.080000;
-0.640000<=TOMsg<=0.680000, 0.080000<=TOAck<=0.120000;
-0.640000<=TOMsg<=0.680000, 0.120000<=TOAck<=0.160000;
-0.640000<=TOMsg<=0.680000, 0.160000<=TOAck<=0.200000;
-0.640000<=TOMsg<=0.680000, 0.200000<=TOAck<=0.240000;
-0.640000<=TOMsg<=0.680000, 0.240000<=TOAck<=0.280000;
-0.640000<=TOMsg<=0.680000, 0.280000<=TOAck<=0.320000;
-0.640000<=TOMsg<=0.680000, 0.320000<=TOAck<=0.360000;
-0.640000<=TOMsg<=0.680000, 0.360000<=TOAck<=0.400000;
-0.640000<=TOMsg<=0.680000, 0.400000<=TOAck<=0.440000;
-0.640000<=TOMsg<=0.680000, 0.440000<=TOAck<=0.480000;
-0.640000<=TOMsg<=0.680000, 0.480000<=TOAck<=0.520000;
-0.640000<=TOMsg<=0.680000, 0.520000<=TOAck<=0.560000;
-0.640000<=TOMsg<=0.680000, 0.560000<=TOAck<=0.600000;
-0.640000<=TOMsg<=0.680000, 0.600000<=TOAck<=0.640000;
-0.640000<=TOMsg<=0.680000, 0.640000<=TOAck<=0.680000;
-0.640000<=TOMsg<=0.680000, 0.680000<=TOAck<=0.720000;
-0.640000<=TOMsg<=0.680000, 0.720000<=TOAck<=0.760000;
-0.640000<=TOMsg<=0.680000, 0.760000<=TOAck<=0.800000;
-0.640000<=TOMsg<=0.680000, 0.800000<=TOAck<=0.840000;
-0.640000<=TOMsg<=0.680000, 0.840000<=TOAck<=0.880000;
-0.640000<=TOMsg<=0.680000, 0.880000<=TOAck<=0.920000;
-0.640000<=TOMsg<=0.680000, 0.920000<=TOAck<=0.960000;
-0.640000<=TOMsg<=0.680000, 0.960000<=TOAck<=0.999990;
-0.680000<=TOMsg<=0.720000, 0.000010<=TOAck<=0.040000;
-0.680000<=TOMsg<=0.720000, 0.040000<=TOAck<=0.080000;
-0.680000<=TOMsg<=0.720000, 0.080000<=TOAck<=0.120000;
-0.680000<=TOMsg<=0.720000, 0.120000<=TOAck<=0.160000;
-0.680000<=TOMsg<=0.720000, 0.160000<=TOAck<=0.200000;
-0.680000<=TOMsg<=0.720000, 0.200000<=TOAck<=0.240000;
-0.680000<=TOMsg<=0.720000, 0.240000<=TOAck<=0.280000;
-0.680000<=TOMsg<=0.720000, 0.280000<=TOAck<=0.320000;
-0.680000<=TOMsg<=0.720000, 0.320000<=TOAck<=0.360000;
-0.680000<=TOMsg<=0.720000, 0.360000<=TOAck<=0.400000;
-0.680000<=TOMsg<=0.720000, 0.400000<=TOAck<=0.440000;
-0.680000<=TOMsg<=0.720000, 0.440000<=TOAck<=0.480000;
-0.680000<=TOMsg<=0.720000, 0.480000<=TOAck<=0.520000;
-0.680000<=TOMsg<=0.720000, 0.520000<=TOAck<=0.560000;
-0.680000<=TOMsg<=0.720000, 0.560000<=TOAck<=0.600000;
-0.680000<=TOMsg<=0.720000, 0.600000<=TOAck<=0.640000;
-0.680000<=TOMsg<=0.720000, 0.640000<=TOAck<=0.680000;
-0.680000<=TOMsg<=0.720000, 0.680000<=TOAck<=0.720000;
-0.680000<=TOMsg<=0.720000, 0.720000<=TOAck<=0.760000;
-0.680000<=TOMsg<=0.720000, 0.760000<=TOAck<=0.800000;
-0.680000<=TOMsg<=0.720000, 0.800000<=TOAck<=0.840000;
-0.680000<=TOMsg<=0.720000, 0.840000<=TOAck<=0.880000;
-0.680000<=TOMsg<=0.720000, 0.880000<=TOAck<=0.920000;
-0.680000<=TOMsg<=0.720000, 0.920000<=TOAck<=0.960000;
-0.680000<=TOMsg<=0.720000, 0.960000<=TOAck<=0.999990;
-0.720000<=TOMsg<=0.760000, 0.000010<=TOAck<=0.040000;
-0.720000<=TOMsg<=0.760000, 0.040000<=TOAck<=0.080000;
-0.720000<=TOMsg<=0.760000, 0.080000<=TOAck<=0.120000;
-0.720000<=TOMsg<=0.760000, 0.120000<=TOAck<=0.160000;
-0.720000<=TOMsg<=0.760000, 0.160000<=TOAck<=0.200000;
-0.720000<=TOMsg<=0.760000, 0.200000<=TOAck<=0.240000;
-0.720000<=TOMsg<=0.760000, 0.240000<=TOAck<=0.280000;
-0.720000<=TOMsg<=0.760000, 0.280000<=TOAck<=0.320000;
-0.720000<=TOMsg<=0.760000, 0.320000<=TOAck<=0.360000;
-0.720000<=TOMsg<=0.760000, 0.360000<=TOAck<=0.400000;
-0.720000<=TOMsg<=0.760000, 0.400000<=TOAck<=0.440000;
-0.720000<=TOMsg<=0.760000, 0.440000<=TOAck<=0.480000;
-0.720000<=TOMsg<=0.760000, 0.480000<=TOAck<=0.520000;
-0.720000<=TOMsg<=0.760000, 0.520000<=TOAck<=0.560000;
-0.720000<=TOMsg<=0.760000, 0.560000<=TOAck<=0.600000;
-0.720000<=TOMsg<=0.760000, 0.600000<=TOAck<=0.640000;
-0.720000<=TOMsg<=0.760000, 0.640000<=TOAck<=0.680000;
-0.720000<=TOMsg<=0.760000, 0.680000<=TOAck<=0.720000;
-0.720000<=TOMsg<=0.760000, 0.720000<=TOAck<=0.760000;
-0.720000<=TOMsg<=0.760000, 0.760000<=TOAck<=0.800000;
-0.720000<=TOMsg<=0.760000, 0.800000<=TOAck<=0.840000;
-0.720000<=TOMsg<=0.760000, 0.840000<=TOAck<=0.880000;
-0.720000<=TOMsg<=0.760000, 0.880000<=TOAck<=0.920000;
-0.720000<=TOMsg<=0.760000, 0.920000<=TOAck<=0.960000;
-0.720000<=TOMsg<=0.760000, 0.960000<=TOAck<=0.999990;
-0.760000<=TOMsg<=0.800000, 0.000010<=TOAck<=0.040000;
-0.760000<=TOMsg<=0.800000, 0.040000<=TOAck<=0.080000;
-0.760000<=TOMsg<=0.800000, 0.080000<=TOAck<=0.120000;
-0.760000<=TOMsg<=0.800000, 0.120000<=TOAck<=0.160000;
-0.760000<=TOMsg<=0.800000, 0.160000<=TOAck<=0.200000;
-0.760000<=TOMsg<=0.800000, 0.200000<=TOAck<=0.240000;
-0.760000<=TOMsg<=0.800000, 0.240000<=TOAck<=0.280000;
-0.760000<=TOMsg<=0.800000, 0.280000<=TOAck<=0.320000;
-0.760000<=TOMsg<=0.800000, 0.320000<=TOAck<=0.360000;
-0.760000<=TOMsg<=0.800000, 0.360000<=TOAck<=0.400000;
-0.760000<=TOMsg<=0.800000, 0.400000<=TOAck<=0.440000;
-0.760000<=TOMsg<=0.800000, 0.440000<=TOAck<=0.480000;
-0.760000<=TOMsg<=0.800000, 0.480000<=TOAck<=0.520000;
-0.760000<=TOMsg<=0.800000, 0.520000<=TOAck<=0.560000;
-0.760000<=TOMsg<=0.800000, 0.560000<=TOAck<=0.600000;
-0.760000<=TOMsg<=0.800000, 0.600000<=TOAck<=0.640000;
-0.760000<=TOMsg<=0.800000, 0.640000<=TOAck<=0.680000;
-0.760000<=TOMsg<=0.800000, 0.680000<=TOAck<=0.720000;
-0.760000<=TOMsg<=0.800000, 0.720000<=TOAck<=0.760000;
-0.760000<=TOMsg<=0.800000, 0.760000<=TOAck<=0.800000;
-0.760000<=TOMsg<=0.800000, 0.800000<=TOAck<=0.840000;
-0.760000<=TOMsg<=0.800000, 0.840000<=TOAck<=0.880000;
-0.760000<=TOMsg<=0.800000, 0.880000<=TOAck<=0.920000;
-0.760000<=TOMsg<=0.800000, 0.920000<=TOAck<=0.960000;
-0.760000<=TOMsg<=0.800000, 0.960000<=TOAck<=0.999990;
-0.800000<=TOMsg<=0.840000, 0.000010<=TOAck<=0.040000;
-0.800000<=TOMsg<=0.840000, 0.040000<=TOAck<=0.080000;
-0.800000<=TOMsg<=0.840000, 0.080000<=TOAck<=0.120000;
-0.800000<=TOMsg<=0.840000, 0.120000<=TOAck<=0.160000;
-0.800000<=TOMsg<=0.840000, 0.160000<=TOAck<=0.200000;
-0.800000<=TOMsg<=0.840000, 0.200000<=TOAck<=0.240000;
-0.800000<=TOMsg<=0.840000, 0.240000<=TOAck<=0.280000;
-0.800000<=TOMsg<=0.840000, 0.280000<=TOAck<=0.320000;
-0.800000<=TOMsg<=0.840000, 0.320000<=TOAck<=0.360000;
-0.800000<=TOMsg<=0.840000, 0.360000<=TOAck<=0.400000;
-0.800000<=TOMsg<=0.840000, 0.400000<=TOAck<=0.440000;
-0.800000<=TOMsg<=0.840000, 0.440000<=TOAck<=0.480000;
-0.800000<=TOMsg<=0.840000, 0.480000<=TOAck<=0.520000;
-0.800000<=TOMsg<=0.840000, 0.520000<=TOAck<=0.560000;
-0.800000<=TOMsg<=0.840000, 0.560000<=TOAck<=0.600000;
-0.800000<=TOMsg<=0.840000, 0.600000<=TOAck<=0.640000;
-0.800000<=TOMsg<=0.840000, 0.640000<=TOAck<=0.680000;
-0.800000<=TOMsg<=0.840000, 0.680000<=TOAck<=0.720000;
-0.800000<=TOMsg<=0.840000, 0.720000<=TOAck<=0.760000;
-0.800000<=TOMsg<=0.840000, 0.760000<=TOAck<=0.800000;
-0.800000<=TOMsg<=0.840000, 0.800000<=TOAck<=0.840000;
-0.800000<=TOMsg<=0.840000, 0.840000<=TOAck<=0.880000;
-0.800000<=TOMsg<=0.840000, 0.880000<=TOAck<=0.920000;
-0.800000<=TOMsg<=0.840000, 0.920000<=TOAck<=0.960000;
-0.800000<=TOMsg<=0.840000, 0.960000<=TOAck<=0.999990;
-0.840000<=TOMsg<=0.880000, 0.000010<=TOAck<=0.040000;
-0.840000<=TOMsg<=0.880000, 0.040000<=TOAck<=0.080000;
-0.840000<=TOMsg<=0.880000, 0.080000<=TOAck<=0.120000;
-0.840000<=TOMsg<=0.880000, 0.120000<=TOAck<=0.160000;
-0.840000<=TOMsg<=0.880000, 0.160000<=TOAck<=0.200000;
-0.840000<=TOMsg<=0.880000, 0.200000<=TOAck<=0.240000;
-0.840000<=TOMsg<=0.880000, 0.240000<=TOAck<=0.280000;
-0.840000<=TOMsg<=0.880000, 0.280000<=TOAck<=0.320000;
-0.840000<=TOMsg<=0.880000, 0.320000<=TOAck<=0.360000;
-0.840000<=TOMsg<=0.880000, 0.360000<=TOAck<=0.400000;
-0.840000<=TOMsg<=0.880000, 0.400000<=TOAck<=0.440000;
-0.840000<=TOMsg<=0.880000, 0.440000<=TOAck<=0.480000;
-0.840000<=TOMsg<=0.880000, 0.480000<=TOAck<=0.520000;
-0.840000<=TOMsg<=0.880000, 0.520000<=TOAck<=0.560000;
-0.840000<=TOMsg<=0.880000, 0.560000<=TOAck<=0.600000;
-0.840000<=TOMsg<=0.880000, 0.600000<=TOAck<=0.640000;
-0.840000<=TOMsg<=0.880000, 0.640000<=TOAck<=0.680000;
-0.840000<=TOMsg<=0.880000, 0.680000<=TOAck<=0.720000;
-0.840000<=TOMsg<=0.880000, 0.720000<=TOAck<=0.760000;
-0.840000<=TOMsg<=0.880000, 0.760000<=TOAck<=0.800000;
-0.840000<=TOMsg<=0.880000, 0.800000<=TOAck<=0.840000;
-0.840000<=TOMsg<=0.880000, 0.840000<=TOAck<=0.880000;
-0.840000<=TOMsg<=0.880000, 0.880000<=TOAck<=0.920000;
-0.840000<=TOMsg<=0.880000, 0.920000<=TOAck<=0.960000;
-0.840000<=TOMsg<=0.880000, 0.960000<=TOAck<=0.999990;
-0.880000<=TOMsg<=0.920000, 0.000010<=TOAck<=0.040000;
-0.880000<=TOMsg<=0.920000, 0.040000<=TOAck<=0.080000;
-0.880000<=TOMsg<=0.920000, 0.080000<=TOAck<=0.120000;
-0.880000<=TOMsg<=0.920000, 0.120000<=TOAck<=0.160000;
-0.880000<=TOMsg<=0.920000, 0.160000<=TOAck<=0.200000;
-0.880000<=TOMsg<=0.920000, 0.200000<=TOAck<=0.240000;
-0.880000<=TOMsg<=0.920000, 0.240000<=TOAck<=0.280000;
-0.880000<=TOMsg<=0.920000, 0.280000<=TOAck<=0.320000;
-0.880000<=TOMsg<=0.920000, 0.320000<=TOAck<=0.360000;
-0.880000<=TOMsg<=0.920000, 0.360000<=TOAck<=0.400000;
-0.880000<=TOMsg<=0.920000, 0.400000<=TOAck<=0.440000;
-0.880000<=TOMsg<=0.920000, 0.440000<=TOAck<=0.480000;
-0.880000<=TOMsg<=0.920000, 0.480000<=TOAck<=0.520000;
-0.880000<=TOMsg<=0.920000, 0.520000<=TOAck<=0.560000;
-0.880000<=TOMsg<=0.920000, 0.560000<=TOAck<=0.600000;
-0.880000<=TOMsg<=0.920000, 0.600000<=TOAck<=0.640000;
-0.880000<=TOMsg<=0.920000, 0.640000<=TOAck<=0.680000;
-0.880000<=TOMsg<=0.920000, 0.680000<=TOAck<=0.720000;
-0.880000<=TOMsg<=0.920000, 0.720000<=TOAck<=0.760000;
-0.880000<=TOMsg<=0.920000, 0.760000<=TOAck<=0.800000;
-0.880000<=TOMsg<=0.920000, 0.800000<=TOAck<=0.840000;
-0.880000<=TOMsg<=0.920000, 0.840000<=TOAck<=0.880000;
-0.880000<=TOMsg<=0.920000, 0.880000<=TOAck<=0.920000;
-0.880000<=TOMsg<=0.920000, 0.920000<=TOAck<=0.960000;
-0.880000<=TOMsg<=0.920000, 0.960000<=TOAck<=0.999990;
-0.920000<=TOMsg<=0.960000, 0.000010<=TOAck<=0.040000;
-0.920000<=TOMsg<=0.960000, 0.040000<=TOAck<=0.080000;
-0.920000<=TOMsg<=0.960000, 0.080000<=TOAck<=0.120000;
-0.920000<=TOMsg<=0.960000, 0.120000<=TOAck<=0.160000;
-0.920000<=TOMsg<=0.960000, 0.160000<=TOAck<=0.200000;
-0.920000<=TOMsg<=0.960000, 0.200000<=TOAck<=0.240000;
-0.920000<=TOMsg<=0.960000, 0.240000<=TOAck<=0.280000;
-0.920000<=TOMsg<=0.960000, 0.280000<=TOAck<=0.320000;
-0.920000<=TOMsg<=0.960000, 0.320000<=TOAck<=0.360000;
-0.920000<=TOMsg<=0.960000, 0.360000<=TOAck<=0.400000;
-0.920000<=TOMsg<=0.960000, 0.400000<=TOAck<=0.440000;
-0.920000<=TOMsg<=0.960000, 0.440000<=TOAck<=0.480000;
-0.920000<=TOMsg<=0.960000, 0.480000<=TOAck<=0.520000;
-0.920000<=TOMsg<=0.960000, 0.520000<=TOAck<=0.560000;
-0.920000<=TOMsg<=0.960000, 0.560000<=TOAck<=0.600000;
-0.920000<=TOMsg<=0.960000, 0.600000<=TOAck<=0.640000;
-0.920000<=TOMsg<=0.960000, 0.640000<=TOAck<=0.680000;
-0.920000<=TOMsg<=0.960000, 0.680000<=TOAck<=0.720000;
-0.920000<=TOMsg<=0.960000, 0.720000<=TOAck<=0.760000;
-0.920000<=TOMsg<=0.960000, 0.760000<=TOAck<=0.800000;
-0.920000<=TOMsg<=0.960000, 0.800000<=TOAck<=0.840000;
-0.920000<=TOMsg<=0.960000, 0.840000<=TOAck<=0.880000;
-0.920000<=TOMsg<=0.960000, 0.880000<=TOAck<=0.920000;
-0.920000<=TOMsg<=0.960000, 0.920000<=TOAck<=0.960000;
-0.920000<=TOMsg<=0.960000, 0.960000<=TOAck<=0.999990;
-0.960000<=TOMsg<=0.999990, 0.000010<=TOAck<=0.040000;
-0.960000<=TOMsg<=0.999990, 0.040000<=TOAck<=0.080000;
-0.960000<=TOMsg<=0.999990, 0.080000<=TOAck<=0.120000;
-0.960000<=TOMsg<=0.999990, 0.120000<=TOAck<=0.160000;
-0.960000<=TOMsg<=0.999990, 0.160000<=TOAck<=0.200000;
-0.960000<=TOMsg<=0.999990, 0.200000<=TOAck<=0.240000;
-0.960000<=TOMsg<=0.999990, 0.240000<=TOAck<=0.280000;
-0.960000<=TOMsg<=0.999990, 0.280000<=TOAck<=0.320000;
-0.960000<=TOMsg<=0.999990, 0.320000<=TOAck<=0.360000;
-0.960000<=TOMsg<=0.999990, 0.360000<=TOAck<=0.400000;
-0.960000<=TOMsg<=0.999990, 0.400000<=TOAck<=0.440000;
-0.960000<=TOMsg<=0.999990, 0.440000<=TOAck<=0.480000;
-0.960000<=TOMsg<=0.999990, 0.480000<=TOAck<=0.520000;
-0.960000<=TOMsg<=0.999990, 0.520000<=TOAck<=0.560000;
-0.960000<=TOMsg<=0.999990, 0.560000<=TOAck<=0.600000;
-0.960000<=TOMsg<=0.999990, 0.600000<=TOAck<=0.640000;
-0.960000<=TOMsg<=0.999990, 0.640000<=TOAck<=0.680000;
-0.960000<=TOMsg<=0.999990, 0.680000<=TOAck<=0.720000;
-0.960000<=TOMsg<=0.999990, 0.720000<=TOAck<=0.760000;
-0.960000<=TOMsg<=0.999990, 0.760000<=TOAck<=0.800000;
-0.960000<=TOMsg<=0.999990, 0.800000<=TOAck<=0.840000;
-0.960000<=TOMsg<=0.999990, 0.840000<=TOAck<=0.880000;
-0.960000<=TOMsg<=0.999990, 0.880000<=TOAck<=0.920000;
-0.960000<=TOMsg<=0.999990, 0.920000<=TOAck<=0.960000;
-0.960000<=TOMsg<=0.999990, 0.960000<=TOAck<=0.999990;

examples/pdtmc/brp_rewards2/brp_rewards16_2.pm

@@ -0,0 +1,146 @@
+// bounded retransmission protocol [D'AJJL01]
+// gxn/dxp 23/05/2001
+
+dtmc
+
+// number of chunks
+const int N = 16;
+// maximum number of retransmissions
+const int MAX = 2;
+
+// reliability of channels
+const double pL;
+const double pK;
+
+// timeouts
+const double TOMsg=0.4;
+const double TOAck=0.6;
+
+module sender
+
+    s : [0..6];
+    // 0 idle
+    // 1 next_frame 
+    // 2 wait_ack
+    // 3 retransmit
+    // 4 success
+    // 5 error
+    // 6 wait sync
+    srep : [0..3];
+    // 0 bottom
+    // 1 not ok (nok)
+    // 2 do not know (dk)
+    // 3 ok (ok)
+    nrtr : [0..MAX];
+    i : [0..N];
+    bs : bool;
+    s_ab : bool;
+    fs : bool;
+    ls : bool;
+    
+    // idle
+    [NewFile] (s=0) -> (s'=1) & (i'=1) & (srep'=0);
+    // next_frame
+    [aF] (s=1) -> (s'=2) & (fs'=(i=1)) & (ls'=(i=N)) & (bs'=s_ab) & (nrtr'=0);
+    // wait_ack
+    [aB] (s=2) -> (s'=4) & (s_ab'=!s_ab);
+    [TO_Msg] (s=2) -> (s'=3);
+    [TO_Ack] (s=2) -> (s'=3);
+    // retransmit
+    [aF] (s=3) & (nrtr<MAX) -> (s'=2) & (fs'=(i=1)) & (ls'=(i=N)) & (bs'=s_ab) & (nrtr'=nrtr+1);
+    [] (s=3) & (nrtr=MAX) & (i<N) -> (s'=5) & (srep'=1);
+    [] (s=3) & (nrtr=MAX) & (i=N) -> (s'=5) & (srep'=2);
+    // success
+    [] (s=4) & (i<N) -> (s'=1) & (i'=i+1);
+    [] (s=4) & (i=N) -> (s'=0) & (srep'=3);
+    // error
+    [SyncWait] (s=5) -> (s'=6); 
+    // wait sync
+    [SyncWait] (s=6) -> (s'=0) & (s_ab'=false); 
+    
+endmodule
+
+module receiver
+
+    r : [0..5];
+    // 0 new_file
+    // 1 fst_safe
+    // 2 frame_received
+    // 3 frame_reported
+    // 4 idle
+    // 5 resync
+    rrep : [0..4];
+    // 0 bottom
+    // 1 fst
+    // 2 inc
+    // 3 ok
+    // 4 nok
+    fr : bool;
+    lr : bool;
+    br : bool;
+    r_ab : bool;
+    recv : bool;
+    
+    
+    // new_file
+    [SyncWait] (r=0) -> (r'=0);
+    [aG] (r=0) -> (r'=1) & (fr'=fs) & (lr'=ls) & (br'=bs) & (recv'=T);
+    // fst_safe_frame
+    [] (r=1) -> (r'=2) & (r_ab'=br);
+    // frame_received
+    [] (r=2) & (r_ab=br) & (fr=true) & (lr=false)  -> (r'=3) & (rrep'=1);
+    [] (r=2) & (r_ab=br) & (fr=false) & (lr=false) -> (r'=3) & (rrep'=2);
+    [] (r=2) & (r_ab=br) & (fr=false) & (lr=true)  -> (r'=3) & (rrep'=3);
+    [aA] (r=2) & !(r_ab=br) -> (r'=4);  
+    // frame_reported
+    [aA] (r=3) -> (r'=4) & (r_ab'=!r_ab);
+    // idle
+    [aG] (r=4) -> (r'=2) & (fr'=fs) & (lr'=ls) & (br'=bs) & (recv'=T);
+    [SyncWait] (r=4) & (ls=true) -> (r'=5);
+    [SyncWait] (r=4) & (ls=false) -> (r'=5) & (rrep'=4);
+    // resync
+    [SyncWait] (r=5) -> (r'=0) & (rrep'=0);
+    
+endmodule
+
+// prevents more than one file being sent
+module tester 
+
+    T : bool;
+    
+    [NewFile] (T=false) -> (T'=true);
+    
+endmodule
+
+module  channelK
+
+    k : [0..2];
+    
+    // idle
+    [aF] (k=0) -> pK : (k'=1) + 1-pK : (k'=2);
+    // sending
+    [aG] (k=1) -> (k'=0);
+    // lost
+    [TO_Msg] (k=2) -> (k'=0);
+    
+endmodule
+
+module  channelL
+
+    l : [0..2];
+    
+    // idle
+    [aA] (l=0) -> pL : (l'=1) + 1-pL : (l'=2);
+    // sending
+    [aB] (l=1) -> (l'=0);
+    // lost
+    [TO_Ack] (l=2) -> (l'=0);
+    
+endmodule
+
+rewards
+	[TO_Msg] true : TOMsg;
+	[TO_Ack] true : TOAck;
+endrewards
+
+

examples/pdtmc/brp_rewards2/brp_rewards2.pm

@@ -0,0 +1,146 @@
+// bounded retransmission protocol [D'AJJL01]
+// gxn/dxp 23/05/2001
+
+dtmc
+
+// number of chunks
+const int N;
+// maximum number of retransmissions
+const int MAX;
+
+// reliability of channels
+const double pL;
+const double pK;
+
+// timeouts
+const double TOMsg=0.4;
+const double TOAck=0.6;
+
+module sender
+
+    s : [0..6];
+    // 0 idle
+    // 1 next_frame 
+    // 2 wait_ack
+    // 3 retransmit
+    // 4 success
+    // 5 error
+    // 6 wait sync
+    srep : [0..3];
+    // 0 bottom
+    // 1 not ok (nok)
+    // 2 do not know (dk)
+    // 3 ok (ok)
+    nrtr : [0..MAX];
+    i : [0..N];
+    bs : bool;
+    s_ab : bool;
+    fs : bool;
+    ls : bool;
+    
+    // idle
+    [NewFile] (s=0) -> (s'=1) & (i'=1) & (srep'=0);
+    // next_frame
+    [aF] (s=1) -> (s'=2) & (fs'=(i=1)) & (ls'=(i=N)) & (bs'=s_ab) & (nrtr'=0);
+    // wait_ack
+    [aB] (s=2) -> (s'=4) & (s_ab'=!s_ab);
+    [TO_Msg] (s=2) -> (s'=3);
+    [TO_Ack] (s=2) -> (s'=3);
+    // retransmit
+    [aF] (s=3) & (nrtr<MAX) -> (s'=2) & (fs'=(i=1)) & (ls'=(i=N)) & (bs'=s_ab) & (nrtr'=nrtr+1);
+    [] (s=3) & (nrtr=MAX) & (i<N) -> (s'=5) & (srep'=1);
+    [] (s=3) & (nrtr=MAX) & (i=N) -> (s'=5) & (srep'=2);
+    // success
+    [] (s=4) & (i<N) -> (s'=1) & (i'=i+1);
+    [] (s=4) & (i=N) -> (s'=0) & (srep'=3);
+    // error
+    [SyncWait] (s=5) -> (s'=6); 
+    // wait sync
+    [SyncWait] (s=6) -> (s'=0) & (s_ab'=false); 
+    
+endmodule
+
+module receiver
+
+    r : [0..5];
+    // 0 new_file
+    // 1 fst_safe
+    // 2 frame_received
+    // 3 frame_reported
+    // 4 idle
+    // 5 resync
+    rrep : [0..4];
+    // 0 bottom
+    // 1 fst
+    // 2 inc
+    // 3 ok
+    // 4 nok
+    fr : bool;
+    lr : bool;
+    br : bool;
+    r_ab : bool;
+    recv : bool;
+    
+    
+    // new_file
+    [SyncWait] (r=0) -> (r'=0);
+    [aG] (r=0) -> (r'=1) & (fr'=fs) & (lr'=ls) & (br'=bs) & (recv'=T);
+    // fst_safe_frame
+    [] (r=1) -> (r'=2) & (r_ab'=br);
+    // frame_received
+    [] (r=2) & (r_ab=br) & (fr=true) & (lr=false)  -> (r'=3) & (rrep'=1);
+    [] (r=2) & (r_ab=br) & (fr=false) & (lr=false) -> (r'=3) & (rrep'=2);
+    [] (r=2) & (r_ab=br) & (fr=false) & (lr=true)  -> (r'=3) & (rrep'=3);
+    [aA] (r=2) & !(r_ab=br) -> (r'=4);  
+    // frame_reported
+    [aA] (r=3) -> (r'=4) & (r_ab'=!r_ab);
+    // idle
+    [aG] (r=4) -> (r'=2) & (fr'=fs) & (lr'=ls) & (br'=bs) & (recv'=T);
+    [SyncWait] (r=4) & (ls=true) -> (r'=5);
+    [SyncWait] (r=4) & (ls=false) -> (r'=5) & (rrep'=4);
+    // resync
+    [SyncWait] (r=5) -> (r'=0) & (rrep'=0);
+    
+endmodule
+
+// prevents more than one file being sent
+module tester 
+
+    T : bool;
+    
+    [NewFile] (T=false) -> (T'=true);
+    
+endmodule
+
+module  channelK
+
+    k : [0..2];
+    
+    // idle
+    [aF] (k=0) -> pK : (k'=1) + 1-pK : (k'=2);
+    // sending
+    [aG] (k=1) -> (k'=0);
+    // lost
+    [TO_Msg] (k=2) -> (k'=0);
+    
+endmodule
+
+module  channelL
+
+    l : [0..2];
+    
+    // idle
+    [aA] (l=0) -> pL : (l'=1) + 1-pL : (l'=2);
+    // sending
+    [aB] (l=1) -> (l'=0);
+    // lost
+    [TO_Ack] (l=2) -> (l'=0);
+    
+endmodule
+
+rewards
+	[TO_Msg] true : TOMsg;
+	[TO_Ack] true : TOAck;
+endrewards
+
+

examples/pdtmc/brp_rewards2/brp_rewards256_5.pm

@@ -0,0 +1,147 @@
+// bounded retransmission protocol [D'AJJL01]
+// gxn/dxp 23/05/2001
+
+dtmc
+
+// number of chunks
+const int N = 256;
+// maximum number of retransmissions
+const int MAX = 5;
+
+// reliability of channels
+const double pL;
+const double pK;
+
+// timeouts
+const double TOMsg=0.4;
+const double TOAck=0.6;
+
+
+module sender
+
+    s : [0..6];
+    // 0 idle
+    // 1 next_frame 
+    // 2 wait_ack
+    // 3 retransmit
+    // 4 success
+    // 5 error
+    // 6 wait sync
+    srep : [0..3];
+    // 0 bottom
+    // 1 not ok (nok)
+    // 2 do not know (dk)
+    // 3 ok (ok)
+    nrtr : [0..MAX];
+    i : [0..N];
+    bs : bool;
+    s_ab : bool;
+    fs : bool;
+    ls : bool;
+    
+    // idle
+    [NewFile] (s=0) -> (s'=1) & (i'=1) & (srep'=0);
+    // next_frame
+    [aF] (s=1) -> (s'=2) & (fs'=(i=1)) & (ls'=(i=N)) & (bs'=s_ab) & (nrtr'=0);
+    // wait_ack
+    [aB] (s=2) -> (s'=4) & (s_ab'=!s_ab);
+    [TO_Msg] (s=2) -> (s'=3);
+    [TO_Ack] (s=2) -> (s'=3);
+    // retransmit
+    [aF] (s=3) & (nrtr<MAX) -> (s'=2) & (fs'=(i=1)) & (ls'=(i=N)) & (bs'=s_ab) & (nrtr'=nrtr+1);
+    [] (s=3) & (nrtr=MAX) & (i<N) -> (s'=5) & (srep'=1);
+    [] (s=3) & (nrtr=MAX) & (i=N) -> (s'=5) & (srep'=2);
+    // success
+    [] (s=4) & (i<N) -> (s'=1) & (i'=i+1);
+    [] (s=4) & (i=N) -> (s'=0) & (srep'=3);
+    // error
+    [SyncWait] (s=5) -> (s'=6); 
+    // wait sync
+    [SyncWait] (s=6) -> (s'=0) & (s_ab'=false); 
+    
+endmodule
+
+module receiver
+
+    r : [0..5];
+    // 0 new_file
+    // 1 fst_safe
+    // 2 frame_received
+    // 3 frame_reported
+    // 4 idle
+    // 5 resync
+    rrep : [0..4];
+    // 0 bottom
+    // 1 fst
+    // 2 inc
+    // 3 ok
+    // 4 nok
+    fr : bool;
+    lr : bool;
+    br : bool;
+    r_ab : bool;
+    recv : bool;
+    
+    
+    // new_file
+    [SyncWait] (r=0) -> (r'=0);
+    [aG] (r=0) -> (r'=1) & (fr'=fs) & (lr'=ls) & (br'=bs) & (recv'=T);
+    // fst_safe_frame
+    [] (r=1) -> (r'=2) & (r_ab'=br);
+    // frame_received
+    [] (r=2) & (r_ab=br) & (fr=true) & (lr=false)  -> (r'=3) & (rrep'=1);
+    [] (r=2) & (r_ab=br) & (fr=false) & (lr=false) -> (r'=3) & (rrep'=2);
+    [] (r=2) & (r_ab=br) & (fr=false) & (lr=true)  -> (r'=3) & (rrep'=3);
+    [aA] (r=2) & !(r_ab=br) -> (r'=4);  
+    // frame_reported
+    [aA] (r=3) -> (r'=4) & (r_ab'=!r_ab);
+    // idle
+    [aG] (r=4) -> (r'=2) & (fr'=fs) & (lr'=ls) & (br'=bs) & (recv'=T);
+    [SyncWait] (r=4) & (ls=true) -> (r'=5);
+    [SyncWait] (r=4) & (ls=false) -> (r'=5) & (rrep'=4);
+    // resync
+    [SyncWait] (r=5) -> (r'=0) & (rrep'=0);
+    
+endmodule
+
+// prevents more than one file being sent
+module tester 
+
+    T : bool;
+    
+    [NewFile] (T=false) -> (T'=true);
+    
+endmodule
+
+module  channelK
+
+    k : [0..2];
+    
+    // idle
+    [aF] (k=0) -> pK : (k'=1) + 1-pK : (k'=2);
+    // sending
+    [aG] (k=1) -> (k'=0);
+    // lost
+    [TO_Msg] (k=2) -> (k'=0);
+    
+endmodule
+
+module  channelL
+
+    l : [0..2];
+    
+    // idle
+    [aA] (l=0) -> pL : (l'=1) + 1-pL : (l'=2);
+    // sending
+    [aB] (l=1) -> (l'=0);
+    // lost
+    [TO_Ack] (l=2) -> (l'=0);
+    
+endmodule
+
+rewards
+	[TO_Msg] true : TOMsg;
+	[TO_Ack] true : TOAck;
+endrewards
+
+

examples/pdtmc/brp_rewards2/brp_rewards512_5.pm

@@ -0,0 +1,147 @@
+// bounded retransmission protocol [D'AJJL01]
+// gxn/dxp 23/05/2001
+
+dtmc
+
+// number of chunks
+const int N = 512;
+// maximum number of retransmissions
+const int MAX = 5;
+
+// reliability of channels
+const double pL;
+const double pK;
+
+// timeouts
+const double TOMsg=0.4;
+const double TOAck=0.6;
+
+
+module sender
+
+    s : [0..6];
+    // 0 idle
+    // 1 next_frame 
+    // 2 wait_ack
+    // 3 retransmit
+    // 4 success
+    // 5 error
+    // 6 wait sync
+    srep : [0..3];
+    // 0 bottom
+    // 1 not ok (nok)
+    // 2 do not know (dk)
+    // 3 ok (ok)
+    nrtr : [0..MAX];
+    i : [0..N];
+    bs : bool;
+    s_ab : bool;
+    fs : bool;
+    ls : bool;
+    
+    // idle
+    [NewFile] (s=0) -> (s'=1) & (i'=1) & (srep'=0);
+    // next_frame
+    [aF] (s=1) -> (s'=2) & (fs'=(i=1)) & (ls'=(i=N)) & (bs'=s_ab) & (nrtr'=0);
+    // wait_ack
+    [aB] (s=2) -> (s'=4) & (s_ab'=!s_ab);
+    [TO_Msg] (s=2) -> (s'=3);
+    [TO_Ack] (s=2) -> (s'=3);
+    // retransmit
+    [aF] (s=3) & (nrtr<MAX) -> (s'=2) & (fs'=(i=1)) & (ls'=(i=N)) & (bs'=s_ab) & (nrtr'=nrtr+1);
+    [] (s=3) & (nrtr=MAX) & (i<N) -> (s'=5) & (srep'=1);
+    [] (s=3) & (nrtr=MAX) & (i=N) -> (s'=5) & (srep'=2);
+    // success
+    [] (s=4) & (i<N) -> (s'=1) & (i'=i+1);
+    [] (s=4) & (i=N) -> (s'=0) & (srep'=3);
+    // error
+    [SyncWait] (s=5) -> (s'=6); 
+    // wait sync
+    [SyncWait] (s=6) -> (s'=0) & (s_ab'=false); 
+    
+endmodule
+
+module receiver
+
+    r : [0..5];
+    // 0 new_file
+    // 1 fst_safe
+    // 2 frame_received
+    // 3 frame_reported
+    // 4 idle
+    // 5 resync
+    rrep : [0..4];
+    // 0 bottom
+    // 1 fst
+    // 2 inc
+    // 3 ok
+    // 4 nok
+    fr : bool;
+    lr : bool;
+    br : bool;
+    r_ab : bool;
+    recv : bool;
+    
+    
+    // new_file
+    [SyncWait] (r=0) -> (r'=0);
+    [aG] (r=0) -> (r'=1) & (fr'=fs) & (lr'=ls) & (br'=bs) & (recv'=T);
+    // fst_safe_frame
+    [] (r=1) -> (r'=2) & (r_ab'=br);
+    // frame_received
+    [] (r=2) & (r_ab=br) & (fr=true) & (lr=false)  -> (r'=3) & (rrep'=1);
+    [] (r=2) & (r_ab=br) & (fr=false) & (lr=false) -> (r'=3) & (rrep'=2);
+    [] (r=2) & (r_ab=br) & (fr=false) & (lr=true)  -> (r'=3) & (rrep'=3);
+    [aA] (r=2) & !(r_ab=br) -> (r'=4);  
+    // frame_reported
+    [aA] (r=3) -> (r'=4) & (r_ab'=!r_ab);
+    // idle
+    [aG] (r=4) -> (r'=2) & (fr'=fs) & (lr'=ls) & (br'=bs) & (recv'=T);
+    [SyncWait] (r=4) & (ls=true) -> (r'=5);
+    [SyncWait] (r=4) & (ls=false) -> (r'=5) & (rrep'=4);
+    // resync
+    [SyncWait] (r=5) -> (r'=0) & (rrep'=0);
+    
+endmodule
+
+// prevents more than one file being sent
+module tester 
+
+    T : bool;
+    
+    [NewFile] (T=false) -> (T'=true);
+    
+endmodule
+
+module  channelK
+
+    k : [0..2];
+    
+    // idle
+    [aF] (k=0) -> pK : (k'=1) + 1-pK : (k'=2);
+    // sending
+    [aG] (k=1) -> (k'=0);
+    // lost
+    [TO_Msg] (k=2) -> (k'=0);
+    
+endmodule
+
+module  channelL
+
+    l : [0..2];
+    
+    // idle
+    [aA] (l=0) -> pL : (l'=1) + 1-pL : (l'=2);
+    // sending
+    [aB] (l=1) -> (l'=0);
+    // lost
+    [TO_Ack] (l=2) -> (l'=0);
+    
+endmodule
+
+rewards
+	[TO_Msg] true : TOMsg;
+	[TO_Ack] true : TOAck;
+endrewards
+
+

examples/pdtmc/brp_rewards2/brp_rewards64_4.pm

@@ -0,0 +1,147 @@
+// bounded retransmission protocol [D'AJJL01]
+// gxn/dxp 23/05/2001
+
+dtmc
+
+// number of chunks
+const int N = 64;
+// maximum number of retransmissions
+const int MAX = 4;
+
+// reliability of channels
+const double pL;
+const double pK;
+
+// timeouts
+const double TOMsg=0.4;
+const double TOAck=0.6;
+
+
+module sender
+
+    s : [0..6];
+    // 0 idle
+    // 1 next_frame 
+    // 2 wait_ack
+    // 3 retransmit
+    // 4 success
+    // 5 error
+    // 6 wait sync
+    srep : [0..3];
+    // 0 bottom
+    // 1 not ok (nok)
+    // 2 do not know (dk)
+    // 3 ok (ok)
+    nrtr : [0..MAX];
+    i : [0..N];
+    bs : bool;
+    s_ab : bool;
+    fs : bool;
+    ls : bool;
+    
+    // idle
+    [NewFile] (s=0) -> (s'=1) & (i'=1) & (srep'=0);
+    // next_frame
+    [aF] (s=1) -> (s'=2) & (fs'=(i=1)) & (ls'=(i=N)) & (bs'=s_ab) & (nrtr'=0);
+    // wait_ack
+    [aB] (s=2) -> (s'=4) & (s_ab'=!s_ab);
+    [TO_Msg] (s=2) -> (s'=3);
+    [TO_Ack] (s=2) -> (s'=3);
+    // retransmit
+    [aF] (s=3) & (nrtr<MAX) -> (s'=2) & (fs'=(i=1)) & (ls'=(i=N)) & (bs'=s_ab) & (nrtr'=nrtr+1);
+    [] (s=3) & (nrtr=MAX) & (i<N) -> (s'=5) & (srep'=1);
+    [] (s=3) & (nrtr=MAX) & (i=N) -> (s'=5) & (srep'=2);
+    // success
+    [] (s=4) & (i<N) -> (s'=1) & (i'=i+1);
+    [] (s=4) & (i=N) -> (s'=0) & (srep'=3);
+    // error
+    [SyncWait] (s=5) -> (s'=6); 
+    // wait sync
+    [SyncWait] (s=6) -> (s'=0) & (s_ab'=false); 
+    
+endmodule
+
+module receiver
+
+    r : [0..5];
+    // 0 new_file
+    // 1 fst_safe
+    // 2 frame_received
+    // 3 frame_reported
+    // 4 idle
+    // 5 resync
+    rrep : [0..4];
+    // 0 bottom
+    // 1 fst
+    // 2 inc
+    // 3 ok
+    // 4 nok
+    fr : bool;
+    lr : bool;
+    br : bool;
+    r_ab : bool;
+    recv : bool;
+    
+    
+    // new_file
+    [SyncWait] (r=0) -> (r'=0);
+    [aG] (r=0) -> (r'=1) & (fr'=fs) & (lr'=ls) & (br'=bs) & (recv'=T);
+    // fst_safe_frame
+    [] (r=1) -> (r'=2) & (r_ab'=br);
+    // frame_received
+    [] (r=2) & (r_ab=br) & (fr=true) & (lr=false)  -> (r'=3) & (rrep'=1);
+    [] (r=2) & (r_ab=br) & (fr=false) & (lr=false) -> (r'=3) & (rrep'=2);
+    [] (r=2) & (r_ab=br) & (fr=false) & (lr=true)  -> (r'=3) & (rrep'=3);
+    [aA] (r=2) & !(r_ab=br) -> (r'=4);  
+    // frame_reported
+    [aA] (r=3) -> (r'=4) & (r_ab'=!r_ab);
+    // idle
+    [aG] (r=4) -> (r'=2) & (fr'=fs) & (lr'=ls) & (br'=bs) & (recv'=T);
+    [SyncWait] (r=4) & (ls=true) -> (r'=5);
+    [SyncWait] (r=4) & (ls=false) -> (r'=5) & (rrep'=4);
+    // resync
+    [SyncWait] (r=5) -> (r'=0) & (rrep'=0);
+    
+endmodule
+
+// prevents more than one file being sent
+module tester 
+
+    T : bool;
+    
+    [NewFile] (T=false) -> (T'=true);
+    
+endmodule
+
+module  channelK
+
+    k : [0..2];
+    
+    // idle
+    [aF] (k=0) -> pK : (k'=1) + 1-pK : (k'=2);
+    // sending
+    [aG] (k=1) -> (k'=0);
+    // lost
+    [TO_Msg] (k=2) -> (k'=0);
+    
+endmodule
+
+module  channelL
+
+    l : [0..2];
+    
+    // idle
+    [aA] (l=0) -> pL : (l'=1) + 1-pL : (l'=2);
+    // sending
+    [aB] (l=1) -> (l'=0);
+    // lost
+    [TO_Ack] (l=2) -> (l'=0);
+    
+endmodule
+
+rewards
+	[TO_Msg] true : TOMsg;
+	[TO_Ack] true : TOAck;
+endrewards
+
+

examples/pdtmc/brp_rewards2/models

@@ -0,0 +1,4 @@
+brp.pm -const N=512,MAX=5
+brp.pm -const N=1024,MAX=5
+
+

examples/pdtmc/brp_rewards4/brp_rewards4.pm

@@ -0,0 +1,146 @@
+// bounded retransmission protocol [D'AJJL01]
+// gxn/dxp 23/05/2001
+
+dtmc
+
+// number of chunks
+const int N;
+// maximum number of retransmissions
+const int MAX;
+
+// reliability of channels
+const double pL;
+const double pK;
+
+// timeouts
+const double TOMsg;
+const double TOAck;
+
+module sender
+
+    s : [0..6];
+    // 0 idle
+    // 1 next_frame 
+    // 2 wait_ack
+    // 3 retransmit
+    // 4 success
+    // 5 error
+    // 6 wait sync
+    srep : [0..3];
+    // 0 bottom
+    // 1 not ok (nok)
+    // 2 do not know (dk)
+    // 3 ok (ok)
+    nrtr : [0..MAX];
+    i : [0..N];
+    bs : bool;
+    s_ab : bool;
+    fs : bool;
+    ls : bool;
+    
+    // idle
+    [NewFile] (s=0) -> (s'=1) & (i'=1) & (srep'=0);
+    // next_frame
+    [aF] (s=1) -> (s'=2) & (fs'=(i=1)) & (ls'=(i=N)) & (bs'=s_ab) & (nrtr'=0);
+    // wait_ack
+    [aB] (s=2) -> (s'=4) & (s_ab'=!s_ab);
+    [TO_Msg] (s=2) -> (s'=3);
+    [TO_Ack] (s=2) -> (s'=3);
+    // retransmit
+    [aF] (s=3) & (nrtr<MAX) -> (s'=2) & (fs'=(i=1)) & (ls'=(i=N)) & (bs'=s_ab) & (nrtr'=nrtr+1);
+    [] (s=3) & (nrtr=MAX) & (i<N) -> (s'=5) & (srep'=1);
+    [] (s=3) & (nrtr=MAX) & (i=N) -> (s'=5) & (srep'=2);
+    // success
+    [] (s=4) & (i<N) -> (s'=1) & (i'=i+1);
+    [] (s=4) & (i=N) -> (s'=0) & (srep'=3);
+    // error
+    [SyncWait] (s=5) -> (s'=6); 
+    // wait sync
+    [SyncWait] (s=6) -> (s'=0) & (s_ab'=false); 
+    
+endmodule
+
+module receiver
+
+    r : [0..5];
+    // 0 new_file
+    // 1 fst_safe
+    // 2 frame_received
+    // 3 frame_reported
+    // 4 idle
+    // 5 resync
+    rrep : [0..4];
+    // 0 bottom
+    // 1 fst
+    // 2 inc
+    // 3 ok
+    // 4 nok
+    fr : bool;
+    lr : bool;
+    br : bool;
+    r_ab : bool;
+    recv : bool;
+    
+    
+    // new_file
+    [SyncWait] (r=0) -> (r'=0);
+    [aG] (r=0) -> (r'=1) & (fr'=fs) & (lr'=ls) & (br'=bs) & (recv'=T);
+    // fst_safe_frame
+    [] (r=1) -> (r'=2) & (r_ab'=br);
+    // frame_received
+    [] (r=2) & (r_ab=br) & (fr=true) & (lr=false)  -> (r'=3) & (rrep'=1);
+    [] (r=2) & (r_ab=br) & (fr=false) & (lr=false) -> (r'=3) & (rrep'=2);
+    [] (r=2) & (r_ab=br) & (fr=false) & (lr=true)  -> (r'=3) & (rrep'=3);
+    [aA] (r=2) & !(r_ab=br) -> (r'=4);  
+    // frame_reported
+    [aA] (r=3) -> (r'=4) & (r_ab'=!r_ab);
+    // idle
+    [aG] (r=4) -> (r'=2) & (fr'=fs) & (lr'=ls) & (br'=bs) & (recv'=T);
+    [SyncWait] (r=4) & (ls=true) -> (r'=5);
+    [SyncWait] (r=4) & (ls=false) -> (r'=5) & (rrep'=4);
+    // resync
+    [SyncWait] (r=5) -> (r'=0) & (rrep'=0);
+    
+endmodule
+
+// prevents more than one file being sent
+module tester 
+
+    T : bool;
+    
+    [NewFile] (T=false) -> (T'=true);
+    
+endmodule
+
+module  channelK
+
+    k : [0..2];
+    
+    // idle
+    [aF] (k=0) -> pK : (k'=1) + 1-pK : (k'=2);
+    // sending
+    [aG] (k=1) -> (k'=0);
+    // lost
+    [TO_Msg] (k=2) -> (k'=0);
+    
+endmodule
+
+module  channelL
+
+    l : [0..2];
+    
+    // idle
+    [aA] (l=0) -> pL : (l'=1) + 1-pL : (l'=2);
+    // sending
+    [aB] (l=1) -> (l'=0);
+    // lost
+    [TO_Ack] (l=2) -> (l'=0);
+    
+endmodule
+
+rewards
+	[TO_Msg] true : TOMsg;
+	[TO_Ack] true : TOAck;
+endrewards
+
+

examples/pdtmc/brp_rewards4/brp_rewards4.prctl

@@ -0,0 +1,2 @@
+R<3 [ F ((s=5) | (s=0&srep=3)) ]
+

examples/pdtmc/brp_rewards4/models

@@ -0,0 +1,2 @@
+brp.pm -const N=512,MAX=5
+brp.pm -const N=1024,MAX=5

examples/pdtmc/crowds/crowds.pm

@@ -0,0 +1,194 @@
+// CROWDS [Reiter,Rubin]
+// Vitaly Shmatikov, 2002
+// Modified by Ernst Moritz Hahn (emh@cs.uni-sb.de)
+
+// note:
+// Change everything marked CWDSIZ when changing the size of the crowd
+// Change everything marked CWDMAX when increasing max size of the crowd
+
+dtmc
+
+// Model parameters
+const double PF;  // forwarding probability
+const double badC;  // probability that member is untrustworthy
+
+// Probability of forwarding
+// const double    PF = 0.8;
+// const double notPF = 0.2;  // must be 1-PF
+
+// Probability that a crowd member is bad
+// const double  badC = 0.1;
+// const double  badC = 0.091;
+// const double  badC = 0.167;
+// const double goodC = 0.909;  // must be 1-badC
+// const double goodC = 0.833;  // must be 1-badC
+
+const int CrowdSize; // CWDSIZ: actual number of good crowd members
+const int TotalRuns; // Total number of protocol runs to analyze
+const int MaxGood=20; // CWDMAX: maximum number of good crowd members
+
+// Process definitions
+module crowds
+
+	// Auxiliary variables
+	launch:   bool init true;       // Start modeling?
+	newInstance:      bool init false;      // Initialize a new protocol instance?
+	runCount: [0..TotalRuns] init TotalRuns;   // Counts protocol instances
+	start:    bool init false;      // Start the protocol?
+	run:      bool init false;      // Run the protocol?
+	lastSeen: [0..MaxGood] init 0;   // Last crowd member to touch msg
+	good:     bool init false;      // Crowd member is good?
+	bad:      bool init false;      //              ... bad?
+	recordLast: bool init false;    // Record last seen crowd member?
+	badObserve: bool init false;    // Bad members observes who sent msg?
+	deliver:  bool init false;      // Deliver message to destination?
+	done:     bool init false;      // Protocol instance finished?
+
+	// Counters for attackers' observations
+	// CWDMAX: 1 counter per each good crowd member
+	observe0:  [0..TotalRuns];
+	observe1:  [0..TotalRuns];
+	observe2:  [0..TotalRuns];
+	observe3:  [0..TotalRuns];
+	observe4:  [0..TotalRuns];
+	observe5:  [0..TotalRuns];
+	observe6:  [0..TotalRuns];
+	observe7:  [0..TotalRuns];
+	observe8:  [0..TotalRuns];
+	observe9:  [0..TotalRuns];
+	observe10: [0..TotalRuns];
+	observe11: [0..TotalRuns];
+	observe12: [0..TotalRuns];
+	observe13: [0..TotalRuns];
+	observe14: [0..TotalRuns];
+	observe15: [0..TotalRuns];
+	observe16: [0..TotalRuns];
+	observe17: [0..TotalRuns];
+	observe18: [0..TotalRuns];
+	observe19: [0..TotalRuns];
+	
+	[] launch -> (newInstance'=true) & (runCount'=TotalRuns) & (launch'=false);
+	// Set up a newInstance protocol instance
+	[] newInstance & runCount>0 -> (runCount'=runCount-1) & (newInstance'=false) & (start'=true);
+	
+	// SENDER
+	// Start the protocol
+	[] start -> (lastSeen'=0) & (run'=true) & (deliver'=false) & (start'=false);
+	
+	// CROWD MEMBERS
+	// Good or bad crowd member?
+	[] !good & !bad & !deliver & run ->
+	              1-badC : (good'=true) & (recordLast'=true) & (run'=false) +
+	               badC : (bad'=true)  & (badObserve'=true) & (run'=false);
+
+	// GOOD MEMBERS
+	// Forward with probability PF, else deliver
+	[] good & !deliver & run -> PF : (good'=false) + 1-PF : (deliver'=true);
+	// Record the last crowd member who touched the msg;
+	// all good members may appear with equal probability
+	//    Note: This is backward.  In the real protocol, each honest
+	//          forwarder randomly chooses the next forwarder.
+	//          Here, the identity of an honest forwarder is randomly
+	//          chosen *after* it has forwarded the message.
+	[] recordLast & CrowdSize=2 ->
+	        1/2 : (lastSeen'=0) & (recordLast'=false) & (run'=true) +
+	        1/2 : (lastSeen'=1) & (recordLast'=false) & (run'=true);
+	[] recordLast & CrowdSize=3 ->
+	        1/3 : (lastSeen'=0) & (recordLast'=false) & (run'=true) +
+	        1/3 : (lastSeen'=1) & (recordLast'=false) & (run'=true) +
+	        1/3 : (lastSeen'=2) & (recordLast'=false) & (run'=true);
+	[] recordLast & CrowdSize=4 ->
+	        1/4 : (lastSeen'=0) & (recordLast'=false) & (run'=true) +
+	        1/4 : (lastSeen'=1) & (recordLast'=false) & (run'=true) +
+	        1/4 : (lastSeen'=2) & (recordLast'=false) & (run'=true) +
+	        1/4 : (lastSeen'=3) & (recordLast'=false) & (run'=true);
+	[] recordLast & CrowdSize=5 ->
+	        1/5 : (lastSeen'=0) & (recordLast'=false) & (run'=true) +
+	        1/5 : (lastSeen'=1) & (recordLast'=false) & (run'=true) +
+	        1/5 : (lastSeen'=2) & (recordLast'=false) & (run'=true) +
+	        1/5 : (lastSeen'=3) & (recordLast'=false) & (run'=true) +
+	        1/5 : (lastSeen'=4) & (recordLast'=false) & (run'=true);
+	[] recordLast & CrowdSize=10 ->
+	        1/10 : (lastSeen'=0) & (recordLast'=false) & (run'=true) +
+	        1/10 : (lastSeen'=1) & (recordLast'=false) & (run'=true) +
+	        1/10 : (lastSeen'=2) & (recordLast'=false) & (run'=true) +
+	        1/10 : (lastSeen'=3) & (recordLast'=false) & (run'=true) +
+	        1/10 : (lastSeen'=4) & (recordLast'=false) & (run'=true) +
+	        1/10 : (lastSeen'=5) & (recordLast'=false) & (run'=true) +
+	        1/10 : (lastSeen'=6) & (recordLast'=false) & (run'=true) +
+	        1/10 : (lastSeen'=7) & (recordLast'=false) & (run'=true) +
+	        1/10 : (lastSeen'=8) & (recordLast'=false) & (run'=true) +
+	        1/10 : (lastSeen'=9) & (recordLast'=false) & (run'=true);
+	[] recordLast & CrowdSize=15 ->
+	        1/15 : (lastSeen'=0)  & (recordLast'=false) & (run'=true) +
+	        1/15 : (lastSeen'=1)  & (recordLast'=false) & (run'=true) +
+	        1/15 : (lastSeen'=2)  & (recordLast'=false) & (run'=true) +
+	        1/15 : (lastSeen'=3)  & (recordLast'=false) & (run'=true) +
+	        1/15 : (lastSeen'=4)  & (recordLast'=false) & (run'=true) +
+	        1/15 : (lastSeen'=5)  & (recordLast'=false) & (run'=true) +
+	        1/15 : (lastSeen'=6)  & (recordLast'=false) & (run'=true) +
+	        1/15 : (lastSeen'=7)  & (recordLast'=false) & (run'=true) +
+	        1/15 : (lastSeen'=8)  & (recordLast'=false) & (run'=true) +
+	        1/15 : (lastSeen'=9)  & (recordLast'=false) & (run'=true) +
+	        1/15 : (lastSeen'=10) & (recordLast'=false) & (run'=true) +
+	        1/15 : (lastSeen'=11) & (recordLast'=false) & (run'=true) +
+	        1/15 : (lastSeen'=12) & (recordLast'=false) & (run'=true) +
+	        1/15 : (lastSeen'=13) & (recordLast'=false) & (run'=true) +
+	        1/15 : (lastSeen'=14) & (recordLast'=false) & (run'=true);
+	[] recordLast & CrowdSize=20 ->
+	        1/20 : (lastSeen'=0)  & (recordLast'=false) & (run'=true) +
+	        1/20 : (lastSeen'=1)  & (recordLast'=false) & (run'=true) +
+	        1/20 : (lastSeen'=2)  & (recordLast'=false) & (run'=true) +
+	        1/20 : (lastSeen'=3)  & (recordLast'=false) & (run'=true) +
+	        1/20 : (lastSeen'=4)  & (recordLast'=false) & (run'=true) +
+	        1/20 : (lastSeen'=5)  & (recordLast'=false) & (run'=true) +
+	        1/20 : (lastSeen'=6)  & (recordLast'=false) & (run'=true) +
+	        1/20 : (lastSeen'=7)  & (recordLast'=false) & (run'=true) +
+	        1/20 : (lastSeen'=8)  & (recordLast'=false) & (run'=true) +
+	        1/20 : (lastSeen'=9)  & (recordLast'=false) & (run'=true) +
+	        1/20 : (lastSeen'=10) & (recordLast'=false) & (run'=true) +
+	        1/20 : (lastSeen'=11) & (recordLast'=false) & (run'=true) +
+	        1/20 : (lastSeen'=12) & (recordLast'=false) & (run'=true) +
+	        1/20 : (lastSeen'=13) & (recordLast'=false) & (run'=true) +
+	        1/20 : (lastSeen'=14) & (recordLast'=false) & (run'=true) +
+	        1/20 : (lastSeen'=15) & (recordLast'=false) & (run'=true) +
+	        1/20 : (lastSeen'=16) & (recordLast'=false) & (run'=true) +
+	        1/20 : (lastSeen'=17) & (recordLast'=false) & (run'=true) +
+	        1/20 : (lastSeen'=18) & (recordLast'=false) & (run'=true) +
+	        1/20 : (lastSeen'=19) & (recordLast'=false) & (run'=true);
+	
+	// BAD MEMBERS
+	// Remember from whom the message was received and deliver
+	// CWDMAX: 1 rule per each good crowd member
+	[] lastSeen=0  & badObserve & observe0 <TotalRuns -> (observe0' =observe0 +1) & (deliver'=true) & (run'=true) & (badObserve'=false);
+	[] lastSeen=1  & badObserve & observe1 <TotalRuns -> (observe1' =observe1 +1) & (deliver'=true) & (run'=true) & (badObserve'=false);
+	[] lastSeen=2  & badObserve & observe2 <TotalRuns -> (observe2' =observe2 +1) & (deliver'=true) & (run'=true) & (badObserve'=false);
+	[] lastSeen=3  & badObserve & observe3 <TotalRuns -> (observe3' =observe3 +1) & (deliver'=true) & (run'=true) & (badObserve'=false);
+	[] lastSeen=4  & badObserve & observe4 <TotalRuns -> (observe4' =observe4 +1) & (deliver'=true) & (run'=true) & (badObserve'=false);
+	[] lastSeen=5  & badObserve & observe5 <TotalRuns -> (observe5' =observe5 +1) & (deliver'=true) & (run'=true) & (badObserve'=false);
+	[] lastSeen=6  & badObserve & observe6 <TotalRuns -> (observe6' =observe6 +1) & (deliver'=true) & (run'=true) & (badObserve'=false);
+	[] lastSeen=7  & badObserve & observe7 <TotalRuns -> (observe7' =observe7 +1) & (deliver'=true) & (run'=true) & (badObserve'=false);
+	[] lastSeen=8  & badObserve & observe8 <TotalRuns -> (observe8' =observe8 +1) & (deliver'=true) & (run'=true) & (badObserve'=false);
+	[] lastSeen=9  & badObserve & observe9 <TotalRuns -> (observe9' =observe9 +1) & (deliver'=true) & (run'=true) & (badObserve'=false);
+	[] lastSeen=10 & badObserve & observe10<TotalRuns -> (observe10'=observe10+1) & (deliver'=true) & (run'=true) & (badObserve'=false);
+	[] lastSeen=11 & badObserve & observe11<TotalRuns -> (observe11'=observe11+1) & (deliver'=true) & (run'=true) & (badObserve'=false);
+	[] lastSeen=12 & badObserve & observe12<TotalRuns -> (observe12'=observe12+1) & (deliver'=true) & (run'=true) & (badObserve'=false);
+	[] lastSeen=13 & badObserve & observe13<TotalRuns -> (observe13'=observe13+1) & (deliver'=true) & (run'=true) & (badObserve'=false);
+	[] lastSeen=14 & badObserve & observe14<TotalRuns -> (observe14'=observe14+1) & (deliver'=true) & (run'=true) & (badObserve'=false);
+	[] lastSeen=15 & badObserve & observe15<TotalRuns -> (observe15'=observe15+1) & (deliver'=true) & (run'=true) & (badObserve'=false);
+	[] lastSeen=16 & badObserve & observe16<TotalRuns -> (observe16'=observe16+1) & (deliver'=true) & (run'=true) & (badObserve'=false);
+	[] lastSeen=17 & badObserve & observe17<TotalRuns -> (observe17'=observe17+1) & (deliver'=true) & (run'=true) & (badObserve'=false);
+	[] lastSeen=18 & badObserve & observe18<TotalRuns -> (observe18'=observe18+1) & (deliver'=true) & (run'=true) & (badObserve'=false);
+	[] lastSeen=19 & badObserve & observe19<TotalRuns -> (observe19'=observe19+1) & (deliver'=true) & (run'=true) & (badObserve'=false);
+
+	// RECIPIENT
+	// Delivery to destination
+	[] deliver & run -> (done'=true) & (deliver'=false) & (run'=false) & (good'=false) & (bad'=false);
+	// Start a newInstance instance
+	[] done -> (newInstance'=true) & (done'=false) & (run'=false) & (lastSeen'=MaxGood);
+	
+endmodule
+
+label "observe0Greater1" = observe0 > 1;
+label "observeIGreater1" = observe1>1|observe2>1;
+label "observeOnlyTrueSender" = observe0>1&observe1<=1 & observe2<=1;

examples/pdtmc/crowds/models

@@ -0,0 +1,2 @@
+crowds.pm -const CrowdSize=10,TotalRuns=5
+crowds.pm -const CrowdSize=15,TotalRuns=5

examples/pdtmc/nand/models

@@ -0,0 +1,3 @@
+nand.pm -const N=10,K=5
+nand.pm -const N=20,K=5
+nand.pm -const N=40,K=5

examples/pdtmc/nand/nand.pm

@@ -0,0 +1,75 @@
+// nand multiplex system
+// gxn/dxp 20/03/03
+
+// U (correctly) performs a random permutation of the outputs of the previous stage
+
+dtmc
+
+const int N; // number of inputs in each bundle
+const int K; // number of restorative stages
+
+const int M = 2*K+1; // total number of multiplexing units
+
+// parameters taken from the following paper
+// A system architecture solution for unreliable nanoelectric devices
+// J. Han & P. Jonker
+// IEEEE trans. on nanotechnology vol 1(4) 2002
+
+const double perr; //(0.02) probability nand works correctly
+const double prob1; //(0.9) probability initial inputs are stimulated
+
+// model whole system as a single module by resuing variables 
+// to decrease the state space
+module multiplex
+
+    u : [1..M]; // number of stages
+    c : [0..N]; // counter (number of copies of the nand done)
+
+    s : [0..4]; // local state
+    // 0 - initial state
+    // 1 - set x inputs
+    // 2 - set y inputs
+    // 3 - set outputs
+    // 4 - done
+
+    z : [0..N]; // number of new outputs equal to 1
+    zx : [0..N]; // number of old outputs equal to 1
+    zy : [0..N]; // need second copy for y
+    // initially 9 since initially probability of stimulated state is 0.9
+
+    x : [0..1]; // value of first input
+    y : [0..1]; // value of second input
+    
+    [] s=0 & (c<N) -> (s'=1); // do next nand if have not done N yet
+    [] s=0 & (c=N) & (u<M) -> (s'=1) & (zx'=z) & (zy'=z) & (z'=0) & (u'=u+1) & (c'=0); // move on to next u if not finished
+    [] s=0 & (c=N) & (u=M) -> (s'=4) & (zx'=0) & (zy'=0) & (x'=0) & (y'=0); // finished (so reset variables not needed to reduce state space)
+
+    // choose x permute selection (have zx stimulated inputs)
+    // note only need y to be random    
+    [] s=1 & u=1  -> prob1 : (x'=1) & (s'=2) + (1-prob1) : (x'=0) & (s'=2); // initially random
+    [] s=1 & u>1 & zx>0 -> (x'=1) & (s'=2) & (zx'=zx-1);
+    [] s=1 & u>1 & zx=0 -> (x'=0) & (s'=2);
+
+    // choose x randomly from selection (have zy stimulated inputs)
+    [] s=2 & u=1 -> prob1 : (y'=1) & (s'=3) + (1-prob1) : (y'=0) & (s'=3); // initially random
+    [] s=2 & u>1 & zy<(N-c) & zy>0  -> zy/(N-c) : (y'=1) & (s'=3) & (zy'=zy-1) + 1-(zy/(N-c)) : (y'=0) & (s'=3);
+    [] s=2 & u>1 & zy=(N-c) & c<N -> 1 : (y'=1) & (s'=3) & (zy'=zy-1);
+    [] s=2 & u>1 & zy=0 -> 1 : (y'=0) & (s'=3);
+
+    // use nand gate
+    [] s=3 & z<N & c<N -> (1-perr) : (z'=z+(1-x*y)) & (s'=0) & (c'=c+1) & (x'=0) & (y'=0) // not faulty
+             + perr    : (z'=z+(x*y))    & (s'=0) & (c'=c+1) & (x'=0) & (y'=0); // von neumann fault
+    // [] s=3 & z<N -> (1-perr) : (z'=z+(1-x*y)) & (s'=0) & (c'=c+1) & (x'=0) & (y'=0) // not faulty
+    //         + perr    : (z'=z+(x*y))    & (s'=0) & (c'=c+1) & (x'=0) & (y'=0); // von neumann fault
+    
+    [] s=4 -> (s'=s);
+    
+endmodule
+
+label "target" = s=4 & z/N<0.1;
+
+// rewards: final value of gate
+rewards
+    [] s=0 & (c=N) & (u=M) : z/N;
+endrewards
+

examples/pdtmc/tiny/tiny.pm

@@ -1,16 +0,0 @@
-dtmc
-
-module tiny
-  s : [0 .. 3] init 0;
-
-  [] s = 0 -> 1/3 : (s'=1) + 1/3 : (s'=2) + 1/3 : (s'=3);
-  [] s = 1 -> 1 : (s'=2);
-  [] s = 2 -> 1/2 : (s'=2) + 1/2 : (s'=1);
-  [] s = 3 -> 1 : (s'=3);
-
-endmodule
-
-rewards
-  s=1 : 10;
-  s=3 : 5;
-endrewards

examples/pmdp/brp/brp.pm

@@ -0,0 +1,139 @@
+// bounded retransmission protocol [D'AJJL01]
+// gxn/dxp 23/05/2001
+// Modified by Ernst Moritz Hahn (emh@cs.uni-sb.de)
+
+mdp
+//dtmc
+
+// number of chunks
+const int N;
+// maximum number of retransmissions
+const int MAX;
+
+// reliability of channels
+const double pL;
+const double pK;
+
+global T : bool;
+
+module sender
+
+	s : [0..6];
+	// 0 idle
+	// 1 next_frame	
+	// 2 wait_ack
+	// 3 retransmit
+	// 4 success
+	// 5 error
+	// 6 wait sync
+	srep : [0..3];
+	// 0 bottom
+	// 1 not ok (nok)
+	// 2 do not know (dk)
+	// 3 ok (ok)
+	nrtr : [0..MAX];
+	i : [0..N];
+	bs : bool;
+	s_ab : bool;
+	fs : bool;
+	ls : bool;
+	
+	// idle
+	[NewFile] (s=0) -> (s'=1) & (i'=1) & (srep'=0);
+	// next_frame
+	[aF] (s=1) -> (s'=2) & (fs'=(i=1)) & (ls'=(i=N)) & (bs'=s_ab) & (nrtr'=0);
+	// wait_ack
+	[aB] (s=2) -> (s'=4) & (s_ab'=!s_ab);
+	[TO_Msg] (s=2) -> (s'=3);
+	[TO_Ack] (s=2) -> (s'=3);
+	// retransmit
+	[aF] (s=3) & (nrtr<MAX) -> (s'=2) & (fs'=(i=1)) & (ls'=(i=N)) & (bs'=s_ab) & (nrtr'=nrtr+1);
+	[] (s=3) & (nrtr=MAX) & (i<N) -> (s'=5) & (srep'=1);
+	[] (s=3) & (nrtr=MAX) & (i=N) -> (s'=5) & (srep'=2);
+	// success
+	[] (s=4) & (i<N) -> (s'=1) & (i'=i+1);
+	[] (s=4) & (i=N) -> (s'=0) & (srep'=3);
+	// error
+	[SyncWait] (s=5) -> (s'=6); 
+	// wait sync
+	[SyncWait] (s=6) -> (s'=0) & (s_ab'=false); 
+	
+endmodule
+
+module receiver
+
+	r : [0..5];
+	// 0 new_file
+	// 1 fst_safe
+	// 2 frame_received
+	// 3 frame_reported
+	// 4 idle
+	// 5 resync
+	rrep : [0..4];
+	// 0 bottom
+	// 1 fst
+	// 2 inc
+	// 3 ok
+	// 4 nok
+	fr : bool;
+	lr : bool;
+	br : bool;
+	r_ab : bool;
+	recv : bool;
+	
+	
+	// new_file
+	[SyncWait] (r=0) -> (r'=0);
+	[aG] (r=0) -> (r'=1) & (fr'=fs) & (lr'=ls) & (br'=bs) & (recv'=T);
+	// fst_safe_frame
+	[] (r=1) -> (r'=2) & (r_ab'=br);
+	// frame_received
+	[] (r=2) & (r_ab=br) & (fr=true) & (lr=false)  -> (r'=3) & (rrep'=1);
+	[] (r=2) & (r_ab=br) & (fr=false) & (lr=false) -> (r'=3) & (rrep'=2);
+	[] (r=2) & (r_ab=br) & (fr=false) & (lr=true)  -> (r'=3) & (rrep'=3);
+	[aA] (r=2) & !(r_ab=br) -> (r'=4);  
+	// frame_reported
+	[aA] (r=3) -> (r'=4) & (r_ab'=!r_ab);
+	// idle
+	[aG] (r=4) -> (r'=2) & (fr'=fs) & (lr'=ls) & (br'=bs) & (recv'=T);
+	[SyncWait] (r=4) & (ls=true) -> (r'=5);
+	[SyncWait] (r=4) & (ls=false) -> (r'=5) & (rrep'=4);
+	// resync
+	[SyncWait] (r=5) -> (r'=0) & (rrep'=0);
+	
+endmodule
+	
+module checker
+	
+	[NewFile] (T=false) -> (T'=false);
+	[NewFile] (T=false) -> (T'=true);
+	
+endmodule
+
+module	channelK
+
+	k : [0..2];
+	
+	// idle
+	[aF] (k=0) -> pK : (k'=1) + 1-pK : (k'=2);
+	// sending
+	[aG] (k=1) -> (k'=0);
+	// lost
+	[TO_Msg] (k=2) -> (k'=0);
+	
+endmodule
+
+module	channelL
+
+	l : [0..2];
+	
+	// idle
+	[aA] (l=0) -> pL : (l'=1) + 1-pL : (l'=2);
+	// sending
+	[aB] (l=1) -> (l'=0);
+	// lost
+	[TO_Ack] (l=2) -> (l'=0);
+	
+endmodule
+
+

examples/pmdp/brp/models

@@ -0,0 +1,4 @@
+brp.pm -const N=256,MAX=5
+brp.pm -const N=512,MAX=5
+brp.pm -const N=1024,MAX=5
+

examples/pmdp/coin2/coin2.pm

@@ -0,0 +1,56 @@
+//Randomised Consensus Protocol
+
+mdp
+const double p1; // in [0.2 , 0.8]
+const double p2; // in [0.2 , 0.8]
+
+
+const int N=2;
+const int K;
+const int range = 2*(K+1)*N;
+const int counter_init = (K+1)*N;
+const int left = N;
+const int right = 2*(K+1)*N - N;
+
+// shared coin
+global counter : [0..range] init counter_init;
+
+module process1
+	
+	// program counter
+	pc1 : [0..3];
+	// 0 - flip
+	// 1 - write 
+	// 2 - check
+	// 3 - finished
+	
+	// local coin
+	coin1 : [0..1];	
+
+	// flip coin
+	[] (pc1=0)  -> p1 : (coin1'=0) & (pc1'=1) + 1 - p1 : (coin1'=1) & (pc1'=1);
+	// write tails -1  (reset coin to add regularity)
+	[] (pc1=1) & (coin1=0) & (counter>0) -> (counter'=counter-1) & (pc1'=2) & (coin1'=0);
+	// write heads +1 (reset coin to add regularity)
+	[] (pc1=1) & (coin1=1) & (counter<range) -> (counter'=counter+1) & (pc1'=2) & (coin1'=0);
+	// check
+	// decide tails
+	[] (pc1=2) & (counter<=left) -> (pc1'=3) & (coin1'=0);
+	// decide heads
+	[] (pc1=2) & (counter>=right) -> (pc1'=3) & (coin1'=1);
+	// flip again
+	[] (pc1=2) & (counter>left) & (counter<right) -> (pc1'=0);
+	// loop (all loop together when done)
+	[done] (pc1=3) -> (pc1'=3);
+
+endmodule
+
+module process2 = process1[pc1=pc2,coin1=coin2,p1=p2] endmodule
+label "finished" = pc1=3 &pc2=3 ;
+label "all_coins_equal_1" = coin1=1 &coin2=1 ;
+rewards "steps"
+	true : 1;
+endrewards
+
+
+

examples/pmdp/coin2/models

@@ -0,0 +1,5 @@
+coin2.pm -const K=2 
+coin2.pm -const K=8
+coin2.pm -const K=32
+coin2.pm -const K=64
+coin2.pm -const K=128

examples/pmdp/coin4/coin2.prctl

@@ -0,0 +1,4 @@
+P>=0.25 [ F "finished"&"all_coins_equal_1" ]
+
+
+

examples/pmdp/coin4/coin4.pm

@@ -0,0 +1,61 @@
+//Randomised Consensus Protocol
+
+mdp
+const double p1; // in [0.2 , 0.8]
+const double p2; // in [0.2 , 0.8]
+const double p3; // in [0.2 , 0.8]
+const double p4; // in [0.2 , 0.8]
+
+
+const int N=4;
+const int K;
+const int range = 2*(K+1)*N;
+const int counter_init = (K+1)*N;
+const int left = N;
+const int right = 2*(K+1)*N - N;
+
+// shared coin
+global counter : [0..range] init counter_init;
+
+module process1
+	
+	// program counter
+	pc1 : [0..3];
+	// 0 - flip
+	// 1 - write 
+	// 2 - check
+	// 3 - finished
+	
+	// local coin
+	coin1 : [0..1];	
+
+	// flip coin
+	[] (pc1=0)  -> p1 : (coin1'=0) & (pc1'=1) + 1 - p1 : (coin1'=1) & (pc1'=1);
+	// write tails -1  (reset coin to add regularity)
+	[] (pc1=1) & (coin1=0) & (counter>0) -> (counter'=counter-1) & (pc1'=2) & (coin1'=0);
+	// write heads +1 (reset coin to add regularity)
+	[] (pc1=1) & (coin1=1) & (counter<range) -> (counter'=counter+1) & (pc1'=2) & (coin1'=0);
+	// check
+	// decide tails
+	[] (pc1=2) & (counter<=left) -> (pc1'=3) & (coin1'=0);
+	// decide heads
+	[] (pc1=2) & (counter>=right) -> (pc1'=3) & (coin1'=1);
+	// flip again
+	[] (pc1=2) & (counter>left) & (counter<right) -> (pc1'=0);
+	// loop (all loop together when done)
+	[done] (pc1=3) -> (pc1'=3);
+
+endmodule
+
+module process2 = process1[pc1=pc2,coin1=coin2,p1=p2] endmodule
+module process3 = process1[pc1=pc3,coin1=coin3,p1=p3] endmodule
+module process4 = process1[pc1=pc4,coin1=coin4,p1=p4] endmodule
+
+label "finished" = pc1=3 &pc2=3 &pc3=3 &pc4=3;
+label "all_coins_equal_1" = coin1=1 &coin2=1 &coin3=1 &coin4=1 ;
+rewards "steps"
+	true : 1;
+endrewards
+
+
+

examples/pmdp/coin4/models

@@ -0,0 +1,3 @@
+coin4.pm -const K=2 
+coin4.pm -const K=4
+coin4.pm -const K=8

examples/pmdp/firewire/firewire_regions.txt

@@ -0,0 +1,625 @@
+0.000010<=fast1<=0.040000, 0.000010<=fast2<=0.040000;
+0.000010<=fast1<=0.040000, 0.040000<=fast2<=0.080000;
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+0.760000<=fast1<=0.800000, 0.760000<=fast2<=0.800000;
+0.760000<=fast1<=0.800000, 0.800000<=fast2<=0.840000;
+0.760000<=fast1<=0.800000, 0.840000<=fast2<=0.880000;
+0.760000<=fast1<=0.800000, 0.880000<=fast2<=0.920000;
+0.760000<=fast1<=0.800000, 0.920000<=fast2<=0.960000;
+0.760000<=fast1<=0.800000, 0.960000<=fast2<=0.999990;
+0.800000<=fast1<=0.840000, 0.000010<=fast2<=0.040000;
+0.800000<=fast1<=0.840000, 0.040000<=fast2<=0.080000;
+0.800000<=fast1<=0.840000, 0.080000<=fast2<=0.120000;
+0.800000<=fast1<=0.840000, 0.120000<=fast2<=0.160000;
+0.800000<=fast1<=0.840000, 0.160000<=fast2<=0.200000;
+0.800000<=fast1<=0.840000, 0.200000<=fast2<=0.240000;
+0.800000<=fast1<=0.840000, 0.240000<=fast2<=0.280000;
+0.800000<=fast1<=0.840000, 0.280000<=fast2<=0.320000;
+0.800000<=fast1<=0.840000, 0.320000<=fast2<=0.360000;
+0.800000<=fast1<=0.840000, 0.360000<=fast2<=0.400000;
+0.800000<=fast1<=0.840000, 0.400000<=fast2<=0.440000;
+0.800000<=fast1<=0.840000, 0.440000<=fast2<=0.480000;
+0.800000<=fast1<=0.840000, 0.480000<=fast2<=0.520000;
+0.800000<=fast1<=0.840000, 0.520000<=fast2<=0.560000;
+0.800000<=fast1<=0.840000, 0.560000<=fast2<=0.600000;
+0.800000<=fast1<=0.840000, 0.600000<=fast2<=0.640000;
+0.800000<=fast1<=0.840000, 0.640000<=fast2<=0.680000;
+0.800000<=fast1<=0.840000, 0.680000<=fast2<=0.720000;
+0.800000<=fast1<=0.840000, 0.720000<=fast2<=0.760000;
+0.800000<=fast1<=0.840000, 0.760000<=fast2<=0.800000;
+0.800000<=fast1<=0.840000, 0.800000<=fast2<=0.840000;
+0.800000<=fast1<=0.840000, 0.840000<=fast2<=0.880000;
+0.800000<=fast1<=0.840000, 0.880000<=fast2<=0.920000;
+0.800000<=fast1<=0.840000, 0.920000<=fast2<=0.960000;
+0.800000<=fast1<=0.840000, 0.960000<=fast2<=0.999990;
+0.840000<=fast1<=0.880000, 0.000010<=fast2<=0.040000;
+0.840000<=fast1<=0.880000, 0.040000<=fast2<=0.080000;
+0.840000<=fast1<=0.880000, 0.080000<=fast2<=0.120000;
+0.840000<=fast1<=0.880000, 0.120000<=fast2<=0.160000;
+0.840000<=fast1<=0.880000, 0.160000<=fast2<=0.200000;
+0.840000<=fast1<=0.880000, 0.200000<=fast2<=0.240000;
+0.840000<=fast1<=0.880000, 0.240000<=fast2<=0.280000;
+0.840000<=fast1<=0.880000, 0.280000<=fast2<=0.320000;
+0.840000<=fast1<=0.880000, 0.320000<=fast2<=0.360000;
+0.840000<=fast1<=0.880000, 0.360000<=fast2<=0.400000;
+0.840000<=fast1<=0.880000, 0.400000<=fast2<=0.440000;
+0.840000<=fast1<=0.880000, 0.440000<=fast2<=0.480000;
+0.840000<=fast1<=0.880000, 0.480000<=fast2<=0.520000;
+0.840000<=fast1<=0.880000, 0.520000<=fast2<=0.560000;
+0.840000<=fast1<=0.880000, 0.560000<=fast2<=0.600000;
+0.840000<=fast1<=0.880000, 0.600000<=fast2<=0.640000;
+0.840000<=fast1<=0.880000, 0.640000<=fast2<=0.680000;
+0.840000<=fast1<=0.880000, 0.680000<=fast2<=0.720000;
+0.840000<=fast1<=0.880000, 0.720000<=fast2<=0.760000;
+0.840000<=fast1<=0.880000, 0.760000<=fast2<=0.800000;
+0.840000<=fast1<=0.880000, 0.800000<=fast2<=0.840000;
+0.840000<=fast1<=0.880000, 0.840000<=fast2<=0.880000;
+0.840000<=fast1<=0.880000, 0.880000<=fast2<=0.920000;
+0.840000<=fast1<=0.880000, 0.920000<=fast2<=0.960000;
+0.840000<=fast1<=0.880000, 0.960000<=fast2<=0.999990;
+0.880000<=fast1<=0.920000, 0.000010<=fast2<=0.040000;
+0.880000<=fast1<=0.920000, 0.040000<=fast2<=0.080000;
+0.880000<=fast1<=0.920000, 0.080000<=fast2<=0.120000;
+0.880000<=fast1<=0.920000, 0.120000<=fast2<=0.160000;
+0.880000<=fast1<=0.920000, 0.160000<=fast2<=0.200000;
+0.880000<=fast1<=0.920000, 0.200000<=fast2<=0.240000;
+0.880000<=fast1<=0.920000, 0.240000<=fast2<=0.280000;
+0.880000<=fast1<=0.920000, 0.280000<=fast2<=0.320000;
+0.880000<=fast1<=0.920000, 0.320000<=fast2<=0.360000;
+0.880000<=fast1<=0.920000, 0.360000<=fast2<=0.400000;
+0.880000<=fast1<=0.920000, 0.400000<=fast2<=0.440000;
+0.880000<=fast1<=0.920000, 0.440000<=fast2<=0.480000;
+0.880000<=fast1<=0.920000, 0.480000<=fast2<=0.520000;
+0.880000<=fast1<=0.920000, 0.520000<=fast2<=0.560000;
+0.880000<=fast1<=0.920000, 0.560000<=fast2<=0.600000;
+0.880000<=fast1<=0.920000, 0.600000<=fast2<=0.640000;
+0.880000<=fast1<=0.920000, 0.640000<=fast2<=0.680000;
+0.880000<=fast1<=0.920000, 0.680000<=fast2<=0.720000;
+0.880000<=fast1<=0.920000, 0.720000<=fast2<=0.760000;
+0.880000<=fast1<=0.920000, 0.760000<=fast2<=0.800000;
+0.880000<=fast1<=0.920000, 0.800000<=fast2<=0.840000;
+0.880000<=fast1<=0.920000, 0.840000<=fast2<=0.880000;
+0.880000<=fast1<=0.920000, 0.880000<=fast2<=0.920000;
+0.880000<=fast1<=0.920000, 0.920000<=fast2<=0.960000;
+0.880000<=fast1<=0.920000, 0.960000<=fast2<=0.999990;
+0.920000<=fast1<=0.960000, 0.000010<=fast2<=0.040000;
+0.920000<=fast1<=0.960000, 0.040000<=fast2<=0.080000;
+0.920000<=fast1<=0.960000, 0.080000<=fast2<=0.120000;
+0.920000<=fast1<=0.960000, 0.120000<=fast2<=0.160000;
+0.920000<=fast1<=0.960000, 0.160000<=fast2<=0.200000;
+0.920000<=fast1<=0.960000, 0.200000<=fast2<=0.240000;
+0.920000<=fast1<=0.960000, 0.240000<=fast2<=0.280000;
+0.920000<=fast1<=0.960000, 0.280000<=fast2<=0.320000;
+0.920000<=fast1<=0.960000, 0.320000<=fast2<=0.360000;
+0.920000<=fast1<=0.960000, 0.360000<=fast2<=0.400000;
+0.920000<=fast1<=0.960000, 0.400000<=fast2<=0.440000;
+0.920000<=fast1<=0.960000, 0.440000<=fast2<=0.480000;
+0.920000<=fast1<=0.960000, 0.480000<=fast2<=0.520000;
+0.920000<=fast1<=0.960000, 0.520000<=fast2<=0.560000;
+0.920000<=fast1<=0.960000, 0.560000<=fast2<=0.600000;
+0.920000<=fast1<=0.960000, 0.600000<=fast2<=0.640000;
+0.920000<=fast1<=0.960000, 0.640000<=fast2<=0.680000;
+0.920000<=fast1<=0.960000, 0.680000<=fast2<=0.720000;
+0.920000<=fast1<=0.960000, 0.720000<=fast2<=0.760000;
+0.920000<=fast1<=0.960000, 0.760000<=fast2<=0.800000;
+0.920000<=fast1<=0.960000, 0.800000<=fast2<=0.840000;
+0.920000<=fast1<=0.960000, 0.840000<=fast2<=0.880000;
+0.920000<=fast1<=0.960000, 0.880000<=fast2<=0.920000;
+0.920000<=fast1<=0.960000, 0.920000<=fast2<=0.960000;
+0.920000<=fast1<=0.960000, 0.960000<=fast2<=0.999990;
+0.960000<=fast1<=0.999990, 0.000010<=fast2<=0.040000;
+0.960000<=fast1<=0.999990, 0.040000<=fast2<=0.080000;
+0.960000<=fast1<=0.999990, 0.080000<=fast2<=0.120000;
+0.960000<=fast1<=0.999990, 0.120000<=fast2<=0.160000;
+0.960000<=fast1<=0.999990, 0.160000<=fast2<=0.200000;
+0.960000<=fast1<=0.999990, 0.200000<=fast2<=0.240000;
+0.960000<=fast1<=0.999990, 0.240000<=fast2<=0.280000;
+0.960000<=fast1<=0.999990, 0.280000<=fast2<=0.320000;
+0.960000<=fast1<=0.999990, 0.320000<=fast2<=0.360000;
+0.960000<=fast1<=0.999990, 0.360000<=fast2<=0.400000;
+0.960000<=fast1<=0.999990, 0.400000<=fast2<=0.440000;
+0.960000<=fast1<=0.999990, 0.440000<=fast2<=0.480000;
+0.960000<=fast1<=0.999990, 0.480000<=fast2<=0.520000;
+0.960000<=fast1<=0.999990, 0.520000<=fast2<=0.560000;
+0.960000<=fast1<=0.999990, 0.560000<=fast2<=0.600000;
+0.960000<=fast1<=0.999990, 0.600000<=fast2<=0.640000;
+0.960000<=fast1<=0.999990, 0.640000<=fast2<=0.680000;
+0.960000<=fast1<=0.999990, 0.680000<=fast2<=0.720000;
+0.960000<=fast1<=0.999990, 0.720000<=fast2<=0.760000;
+0.960000<=fast1<=0.999990, 0.760000<=fast2<=0.800000;
+0.960000<=fast1<=0.999990, 0.800000<=fast2<=0.840000;
+0.960000<=fast1<=0.999990, 0.840000<=fast2<=0.880000;
+0.960000<=fast1<=0.999990, 0.880000<=fast2<=0.920000;
+0.960000<=fast1<=0.999990, 0.920000<=fast2<=0.960000;
+0.960000<=fast1<=0.999990, 0.960000<=fast2<=0.999990;

examples/pmdp/janitor/janitor.pm

@@ -0,0 +1,124 @@
+// GRID WORLD MODEL OF ROBOT AND JANITOR
+// Hakan Younes/gxn/dxp 04/05/04
+// Variant by Sebastian Junges, RWTH Aachen University
+// As described in 
+// Junges, Jansen, Dehnert, Topcu, Katoen: 
+// Safety Constrained Reinforcement Learning
+// Proc. of TACAS’16
+
+mdp
+
+// PARAMETERS: Probability that the janitor moves North, South, East or West
+const double jProbN;
+const double jProbE;
+const double jProbS = 1 - jProbN;
+const double jProbW = 1 - jProbE;
+
+// CONSTANTS
+const int xSize = 6; // size of the grid
+const int ySize = 6;
+const int jXmin = 1; // janitor area
+const int jXmax = 6;
+const int jYmin = 1;
+const int jYmax = 6;
+const int maxSteps = 15;
+
+formula T = (xR = xSize & yR = ySize);
+formula C = (xR = xJ & yR = yJ);
+
+module counter
+	count : [0..maxSteps] init 0;
+	[forward] (count<maxSteps & !C) -> 1:(count'=count+1);
+	[turnLeft] (count<maxSteps & !C) -> 1:(count'=count+1);
+	[turnRight] (count<maxSteps & !C) -> 1:(count'=count+1);
+	[forward] (count<maxSteps & C) -> 1:(count'=maxSteps);
+	[turnLeft] (count<maxSteps & C) -> 1:(count'=maxSteps);
+	[turnRight] (count<maxSteps & C) -> 1:(count'=maxSteps);
+	[forward] (count=maxSteps) -> 1:true;
+	[turnLeft] (count=maxSteps) -> 1:true;
+	[turnRight] (count=maxSteps) -> 1:true;
+endmodule
+
+module robot
+	xR : [1..xSize] init 1;
+	yR : [1..ySize] init 1;
+	d: [0..3] init 0;
+
+	  [forward] (d=0 & yR < ySize & !T) -> 1:(yR'=yR+1);
+   	[forward] (d=2 & yR > 1 & !T) -> 1:(yR'=yR-1);
+ 		[forward] (d=1 & xR < xSize & !T) -> 1:(xR'=xR+1);
+ 		[forward] (d=3 & xR > 1 & !T) -> 1:(xR'=xR-1);
+  	//[backward] (d=0 & yR > 1 & !T) -> 1:(yR'=yR-1);
+  	//[backward] (d=2 & yR < ySize & !T) -> 1:(yR'=yR+1);
+  	//[backward] (d=1 & xR > 1 & !T) -> 1:(xR'=xR-1);
+  	//[backward] (d=3 & xR < xSize & !T) -> 1:(xR'=xR+1);
+  	[turnLeft] (d>0 & !T) -> 1:(d'=d-1);
+  	[turnLeft] (d=0 & !T) -> 1:(d'=3);
+  	[turnRight] (d=3 & !T) -> 1:(d'=0);
+  	[turnRight] (d<3 & !T) -> 1:(d'=d+1);
+	// [turnLeft] (d=1) -> 1:(d’=0);
+	// [turnRight] (d=0) -> 1:(d’=1);
+		[done] T -> 1:true;
+endmodule
+
+// The Janitor moves probabilistically within the grid.
+module janitor
+	xJ : [jXmin..jXmax] init jXmax; // x position of janitor
+	yJ : [jYmin..jYmax] init jYmin; // y position of janitor
+
+	[forward] (yJ=jYmax & xJ=jXmax) -> 0.5:(yJ'=yJ-1) + 0.5:(xJ'=xJ-1);
+	[forward] (yJ=jYmax & xJ=jXmin) -> 0.5:(yJ'=yJ-1) + 0.5:(xJ'=xJ+1);
+	[forward] (yJ=jYmax & xJ<jXmax & xJ > jXmin) -> 0.3333:(yJ'=yJ-1) + 0.6667*jProbW:(xJ'=xJ-1) + 0.6667*jProbE:(xJ'=xJ+1);
+	[forward] (yJ=jYmin & xJ=jXmax) -> 0.5:(yJ'=yJ+1) + 0.5:(xJ'=xJ-1);
+	[forward] (yJ=jYmin & xJ=jXmin) -> 0.5:(yJ'=yJ+1) + 0.5:(xJ'=xJ+1);
+	[forward] (yJ=jYmin & xJ<jXmax & xJ>jXmin) -> 0.3333:(yJ'=yJ+1) + 0.6667*jProbW:(xJ'=xJ-1) + 0.6667*jProbE:(xJ'=xJ+1);
+	[forward] (yJ<jYmax & yJ>jYmin & xJ=jXmax) -> 0.6667*jProbN:(yJ'=yJ+1) + 0.6667*jProbS:(yJ'=yJ-1) + 0.3333:(xJ'=xJ-1);
+	[forward] (yJ<jYmax & yJ>jYmin & xJ=jXmin) -> 0.6667*jProbN:(yJ'=yJ+1) + 0.6667*jProbS:(yJ'=yJ-1) + 0.3333:(xJ'=xJ+1);
+	[forward] (yJ<jYmax & yJ>jYmin & xJ<jXmax & xJ>jXmin) -> 0.5*jProbS:(yJ'=yJ-1) + 0.5*jProbN:(yJ'=yJ+1) + 0.5*jProbW:(xJ'=xJ-1) + 0.5*jProbE:(xJ'=xJ+1);
+
+
+	[turnLeft] (yJ=jYmax & xJ=jXmax) -> 0.5:(yJ'=yJ-1) + 0.5:(xJ'=xJ-1);
+	[turnLeft] (yJ=jYmax & xJ=jXmin) -> 0.5:(yJ'=yJ-1) + 0.5:(xJ'=xJ+1);
+	[turnLeft] (yJ=jYmax & xJ<jXmax & xJ > jXmin) -> 0.3333:(yJ'=yJ-1) + 0.6667*jProbW:(xJ'=xJ-1) + 0.6667*jProbE:(xJ'=xJ+1);
+	[turnLeft] (yJ=jYmin & xJ=jXmax) -> 0.5:(yJ'=yJ+1) + 0.5:(xJ'=xJ-1);
+	[turnLeft] (yJ=jYmin & xJ=jXmin) -> 0.5:(yJ'=yJ+1) + 0.5:(xJ'=xJ+1);
+	[turnLeft] (yJ=jYmin & xJ<jXmax & xJ>jXmin) -> 0.3333:(yJ'=yJ+1) + 0.6667*jProbW:(xJ'=xJ-1) + 0.6667*jProbE:(xJ'=xJ+1);
+	[turnLeft] (yJ<jYmax & yJ>jYmin & xJ=jXmax) -> 0.6667*jProbN:(yJ'=yJ+1) + 0.6667*jProbS:(yJ'=yJ-1) + 0.3333:(xJ'=xJ-1);
+	[turnLeft] (yJ<jYmax & yJ>jYmin & xJ=jXmin) -> 0.6667*jProbN:(yJ'=yJ+1) + 0.6667*jProbS:(yJ'=yJ-1) + 0.3333:(xJ'=xJ+1);
+	[turnLeft] (yJ<jYmax & yJ>jYmin & xJ<jXmax & xJ>jXmin) -> 0.5*jProbS:(yJ'=yJ-1) + 0.5*jProbN:(yJ'=yJ+1) + 0.5*jProbW:(xJ'=xJ-1) + 0.5*jProbE:(xJ'=xJ+1);
+
+	[turnRight] (yJ=jYmax & xJ=jXmax) -> 0.5:(yJ'=yJ-1) + 0.5:(xJ'=xJ-1);
+	[turnRight] (yJ=jYmax & xJ=jXmin) -> 0.5:(yJ'=yJ-1) + 0.5:(xJ'=xJ+1);
+	[turnRight] (yJ=jYmax & xJ<jXmax & xJ > jXmin) -> 0.3333:(yJ'=yJ-1) + 0.6667*jProbW:(xJ'=xJ-1) + 0.6667*jProbE:(xJ'=xJ+1);
+	[turnRight] (yJ=jYmin & xJ=jXmax) -> 0.5:(yJ'=yJ+1) + 0.5:(xJ'=xJ-1);
+	[turnRight] (yJ=jYmin & xJ=jXmin) -> 0.5:(yJ'=yJ+1) + 0.5:(xJ'=xJ+1);
+	[turnRight] (yJ=jYmin & xJ<jXmax & xJ>jXmin) -> 0.3333:(yJ'=yJ+1) + 0.6667*jProbW:(xJ'=xJ-1) + 0.6667*jProbE:(xJ'=xJ+1);
+	[turnRight] (yJ<jYmax & yJ>jYmin & xJ=jXmax) -> 0.6667*jProbN:(yJ'=yJ+1) + 0.6667*jProbS:(yJ'=yJ-1) + 0.3333:(xJ'=xJ-1);
+	[turnRight] (yJ<jYmax & yJ>jYmin & xJ=jXmin) -> 0.6667*jProbN:(yJ'=yJ+1) + 0.6667*jProbS:(yJ'=yJ-1) + 0.3333:(xJ'=xJ+1);
+	[turnRight] (yJ<jYmax & yJ>jYmin & xJ<jXmax & xJ>jXmin) -> 0.5*jProbS:(yJ'=yJ-1) + 0.5*jProbN:(yJ'=yJ+1) + 0.5*jProbW:(xJ'=xJ-1) + 0.5*jProbE:(xJ'=xJ+1);
+
+endmodule
+
+rewards "mvbased"
+	[forward] true: 5;
+	//[backward] true: 10;
+	[turnLeft] true: 25;
+	[turnRight] true: 28;
+endrewards
+
+rewards "mvbased_upper"
+	[forward] true: 30;
+	//[backward] true: 35;
+	[turnLeft] true: 40;
+	[turnRight] true: 40;
+endrewards
+
+rewards "mvbased_lower"
+	[forward] true: 4;
+	//[backward] true: 4;
+	[turnLeft] true: 8;
+	[turnRight] true: 8;
+endrewards
+
+label "Target" = T & (count<maxSteps) & !C;
+label "Crash" = C;

examples/pmdp/reporter2/models

@@ -0,0 +1,4 @@
+reporter2.pm -const Xsize=6,Ysize=6,MAXTRIES=2,B=2 
+reporter2.pm -const Xsize=25,Ysize=25,MAXTRIES=5,B=5
+reporter2.pm -const Xsize=50,Ysize=50,MAXTRIES=8,B=8
+reporter2.pm -const Xsize=75,Ysize=75,MAXTRIES=10,B=10

examples/pmdp/reporter2/reporter2.pm

@@ -0,0 +1,73 @@
+// GRID WORLD MODEL OF A SEMIAUTONOMOUS EXPLORING ROBOT
+// Sebastian Junges, RWTH Aachen University
+// As described in 
+// Junges, Jansen, Dehnert, Topcu, Katoen: 
+// Safety Constrained Reinforcement Learning
+// Proc. of TACAS’16
+
+mdp
+
+//PARAMETERS
+//The difference of the reliability of the channels between the worst and at the best position
+const double pLDiff=0.1;
+const double pHDiff=0.1;
+//Scaling factor for the minimum reliability of the channels
+const double pL;//=8/9;
+const double pH;//=1;
+
+//CONSTANTS
+//The minimum reliablities
+const double pLMin=pL*(1-pLDiff);
+const double pHMin=pH*(1-pHDiff);
+
+// Grid size
+const int Xsize;
+const int Ysize;
+// Number of tries before an error
+const int MAXTRIES;
+// Ball within the robot has to move.
+const int B;
+
+
+formula T = (xLoc = Xsize & yLoc = Ysize);
+
+
+module robot
+  xLoc : [1..Ysize] init 1;
+  yLoc : [1..Xsize] init 1;
+  unreported : [0..B] init 0;
+  hasSendNow : bool init false;
+  tries : [0..MAXTRIES] init 0;
+
+  [up] xLoc < Xsize & !T  & hasSendNow  -> 1:(xLoc'=xLoc+1) & (unreported' = 0) & (hasSendNow'=false);
+  [up] xLoc < Xsize & !T  & !hasSendNow -> 1:(xLoc'=xLoc+1) & (unreported'=min(unreported+1, B));
+  [right] yLoc < Ysize & !T  & hasSendNow  -> 1:(yLoc'=yLoc+1) & (unreported' = 0)& (hasSendNow'=false);
+  [right] yLoc < Ysize & !T  & !hasSendNow -> 1:(yLoc'=yLoc+1) & (unreported'=min(unreported+1,B));
+  [sendL] !hasSendNow & !T & tries < MAXTRIES -> (pLMin + pLDiff * xLoc/Xsize):(hasSendNow'=true) & (tries'=0) + (1 - pLMin - pLDiff * xLoc/Xsize): (tries'=tries+1);
+  [sendH] !hasSendNow & !T & tries < MAXTRIES -> (pHMin + pHDiff * yLoc/Ysize):(hasSendNow'=true) & (tries'=0) + (1 - pHMin - pHDiff * yLoc/Ysize): (tries'=tries+1);
+  [done] T -> 1:true;
+endmodule
+
+rewards "sendbased"
+  [up] true: 0.03;
+  [right] true: 0.03;
+	[sendL] true: max(10, min(11 + xLoc - yLoc, 20));
+	[sendH] true: min(13 + xLoc + yLoc, 24);
+endrewards
+
+rewards "sendbased_lower"
+  [up] true: 0.03;
+  [right] true: 0.03;
+	[sendL] true: 10;
+	[sendH] true: 12;
+endrewards
+
+rewards "sendbased_upper"
+  [up] true: 0.03;
+  [right] true: 0.03;
+	[sendL] true: 20;
+	[sendH] true: 24;
+endrewards
+
+label "Target" = T;
+label "Crash" = unreported=B;

examples/pmdp/reporter2/reporter2.prctl

@@ -0,0 +1 @@
+P>0.3[F "Crash" ]

examples/pmdp/reporter2/reporter2_25_25_5_5.pm

@@ -0,0 +1,73 @@
+// GRID WORLD MODEL OF A SEMIAUTONOMOUS EXPLORING ROBOT
+// Sebastian Junges, RWTH Aachen University
+// As described in 
+// Junges, Jansen, Dehnert, Topcu, Katoen: 
+// Safety Constrained Reinforcement Learning
+// Proc. of TACAS’16
+
+mdp
+
+//PARAMETERS
+//The difference of the reliability of the channels between the worst and at the best position
+const double pLDiff=0.1;
+const double pHDiff=0.1;
+//Scaling factor for the minimum reliability of the channels
+const double pL;//=8/9;
+const double pH;//=1;
+
+//CONSTANTS
+//The minimum reliablities
+const double pLMin=pL*(1-pLDiff);
+const double pHMin=pH*(1-pHDiff);
+
+// Grid size
+const int Xsize = 25;
+const int Ysize = 25;
+// Number of tries before an error
+const int MAXTRIES = 5;
+// Ball within the robot has to move.
+const int B=5;
+
+
+formula T = (xLoc = Xsize & yLoc = Ysize);
+
+
+module robot
+  xLoc : [1..Ysize] init 1;
+  yLoc : [1..Xsize] init 1;
+  unreported : [0..B] init 0;
+  hasSendNow : bool init false;
+  tries : [0..MAXTRIES] init 0;
+
+  [up] xLoc < Xsize & !T  & hasSendNow  -> 1:(xLoc'=xLoc+1) & (unreported' = 0) & (hasSendNow'=false);
+  [up] xLoc < Xsize & !T  & !hasSendNow -> 1:(xLoc'=xLoc+1) & (unreported'=min(unreported+1, B));
+  [right] yLoc < Ysize & !T  & hasSendNow  -> 1:(yLoc'=yLoc+1) & (unreported' = 0)& (hasSendNow'=false);
+  [right] yLoc < Ysize & !T  & !hasSendNow -> 1:(yLoc'=yLoc+1) & (unreported'=min(unreported+1,B));
+  [sendL] !hasSendNow & !T & tries < MAXTRIES -> (pLMin + pLDiff * xLoc/Xsize):(hasSendNow'=true) & (tries'=0) + (1 - pLMin - pLDiff * xLoc/Xsize): (tries'=tries+1);
+  [sendH] !hasSendNow & !T & tries < MAXTRIES -> (pHMin + pHDiff * yLoc/Ysize):(hasSendNow'=true) & (tries'=0) + (1 - pHMin - pHDiff * yLoc/Ysize): (tries'=tries+1);
+  [done] T -> 1:true;
+endmodule
+
+rewards "sendbased"
+  [up] true: 0.03;
+  [right] true: 0.03;
+	[sendL] true: max(10, min(11 + xLoc - yLoc, 20));
+	[sendH] true: min(13 + xLoc + yLoc, 24);
+endrewards
+
+rewards "sendbased_lower"
+  [up] true: 0.03;
+  [right] true: 0.03;
+	[sendL] true: 10;
+	[sendH] true: 12;
+endrewards
+
+rewards "sendbased_upper"
+  [up] true: 0.03;
+  [right] true: 0.03;
+	[sendL] true: 20;
+	[sendH] true: 24;
+endrewards
+
+label "Target" = T;
+label "Crash" = unreported=B;

examples/pmdp/reporter2/reporter2_6_6_2_2.pm

@@ -0,0 +1,73 @@
+// GRID WORLD MODEL OF A SEMIAUTONOMOUS EXPLORING ROBOT
+// Sebastian Junges, RWTH Aachen University
+// As described in 
+// Junges, Jansen, Dehnert, Topcu, Katoen: 
+// Safety Constrained Reinforcement Learning
+// Proc. of TACAS’16
+
+mdp
+
+//PARAMETERS
+//The difference of the reliability of the channels between the worst and at the best position
+const double pLDiff=0.1;
+const double pHDiff=0.1;
+//Scaling factor for the minimum reliability of the channels
+const double pL;//=8/9;
+const double pH;//=1;
+
+//CONSTANTS
+//The minimum reliablities
+const double pLMin=pL*(1-pLDiff);
+const double pHMin=pH*(1-pHDiff);
+
+// Grid size
+const int Xsize = 6;
+const int Ysize = 6;
+// Number of tries before an error
+const int MAXTRIES = 2;
+// Ball within the robot has to move.
+const int B=2;
+
+
+formula T = (xLoc = Xsize & yLoc = Ysize);
+
+
+module robot
+  xLoc : [1..Ysize] init 1;
+  yLoc : [1..Xsize] init 1;
+  unreported : [0..B] init 0;
+  hasSendNow : bool init false;
+  tries : [0..MAXTRIES] init 0;
+
+  [up] xLoc < Xsize & !T  & hasSendNow  -> 1:(xLoc'=xLoc+1) & (unreported' = 0) & (hasSendNow'=false);
+  [up] xLoc < Xsize & !T  & !hasSendNow -> 1:(xLoc'=xLoc+1) & (unreported'=min(unreported+1, B));
+  [right] yLoc < Ysize & !T  & hasSendNow  -> 1:(yLoc'=yLoc+1) & (unreported' = 0)& (hasSendNow'=false);
+  [right] yLoc < Ysize & !T  & !hasSendNow -> 1:(yLoc'=yLoc+1) & (unreported'=min(unreported+1,B));
+  [sendL] !hasSendNow & !T & tries < MAXTRIES -> (pLMin + pLDiff * xLoc/Xsize):(hasSendNow'=true) & (tries'=0) + (1 - pLMin - pLDiff * xLoc/Xsize): (tries'=tries+1);
+  [sendH] !hasSendNow & !T & tries < MAXTRIES -> (pHMin + pHDiff * yLoc/Ysize):(hasSendNow'=true) & (tries'=0) + (1 - pHMin - pHDiff * yLoc/Ysize): (tries'=tries+1);
+  [done] T -> 1:true;
+endmodule
+
+rewards "sendbased"
+  [up] true: 0.03;
+  [right] true: 0.03;
+	[sendL] true: max(10, min(11 + xLoc - yLoc, 20));
+	[sendH] true: min(13 + xLoc + yLoc, 24);
+endrewards
+
+rewards "sendbased_lower"
+  [up] true: 0.03;
+  [right] true: 0.03;
+	[sendL] true: 10;
+	[sendH] true: 12;
+endrewards
+
+rewards "sendbased_upper"
+  [up] true: 0.03;
+  [right] true: 0.03;
+	[sendL] true: 20;
+	[sendH] true: 24;
+endrewards
+
+label "Target" = T;
+label "Crash" = unreported=B;

examples/pmdp/reporter2/reporter2_regions.txt

@@ -0,0 +1,625 @@
+0.000010<=pL<=0.040000, 0.000010<=pH<=0.040000;
+0.000010<=pL<=0.040000, 0.040000<=pH<=0.080000;
+0.000010<=pL<=0.040000, 0.080000<=pH<=0.120000;
+0.000010<=pL<=0.040000, 0.120000<=pH<=0.160000;
+0.000010<=pL<=0.040000, 0.160000<=pH<=0.200000;
+0.000010<=pL<=0.040000, 0.200000<=pH<=0.240000;
+0.000010<=pL<=0.040000, 0.240000<=pH<=0.280000;
+0.000010<=pL<=0.040000, 0.280000<=pH<=0.320000;
+0.000010<=pL<=0.040000, 0.320000<=pH<=0.360000;
+0.000010<=pL<=0.040000, 0.360000<=pH<=0.400000;
+0.000010<=pL<=0.040000, 0.400000<=pH<=0.440000;
+0.000010<=pL<=0.040000, 0.440000<=pH<=0.480000;
+0.000010<=pL<=0.040000, 0.480000<=pH<=0.520000;
+0.000010<=pL<=0.040000, 0.520000<=pH<=0.560000;
+0.000010<=pL<=0.040000, 0.560000<=pH<=0.600000;
+0.000010<=pL<=0.040000, 0.600000<=pH<=0.640000;
+0.000010<=pL<=0.040000, 0.640000<=pH<=0.680000;
+0.000010<=pL<=0.040000, 0.680000<=pH<=0.720000;
+0.000010<=pL<=0.040000, 0.720000<=pH<=0.760000;
+0.000010<=pL<=0.040000, 0.760000<=pH<=0.800000;
+0.000010<=pL<=0.040000, 0.800000<=pH<=0.840000;
+0.000010<=pL<=0.040000, 0.840000<=pH<=0.880000;
+0.000010<=pL<=0.040000, 0.880000<=pH<=0.920000;
+0.000010<=pL<=0.040000, 0.920000<=pH<=0.960000;
+0.000010<=pL<=0.040000, 0.960000<=pH<=0.999990;
+0.040000<=pL<=0.080000, 0.000010<=pH<=0.040000;
+0.040000<=pL<=0.080000, 0.040000<=pH<=0.080000;
+0.040000<=pL<=0.080000, 0.080000<=pH<=0.120000;
+0.040000<=pL<=0.080000, 0.120000<=pH<=0.160000;
+0.040000<=pL<=0.080000, 0.160000<=pH<=0.200000;
+0.040000<=pL<=0.080000, 0.200000<=pH<=0.240000;
+0.040000<=pL<=0.080000, 0.240000<=pH<=0.280000;
+0.040000<=pL<=0.080000, 0.280000<=pH<=0.320000;
+0.040000<=pL<=0.080000, 0.320000<=pH<=0.360000;
+0.040000<=pL<=0.080000, 0.360000<=pH<=0.400000;
+0.040000<=pL<=0.080000, 0.400000<=pH<=0.440000;
+0.040000<=pL<=0.080000, 0.440000<=pH<=0.480000;
+0.040000<=pL<=0.080000, 0.480000<=pH<=0.520000;
+0.040000<=pL<=0.080000, 0.520000<=pH<=0.560000;
+0.040000<=pL<=0.080000, 0.560000<=pH<=0.600000;
+0.040000<=pL<=0.080000, 0.600000<=pH<=0.640000;
+0.040000<=pL<=0.080000, 0.640000<=pH<=0.680000;
+0.040000<=pL<=0.080000, 0.680000<=pH<=0.720000;
+0.040000<=pL<=0.080000, 0.720000<=pH<=0.760000;
+0.040000<=pL<=0.080000, 0.760000<=pH<=0.800000;
+0.040000<=pL<=0.080000, 0.800000<=pH<=0.840000;
+0.040000<=pL<=0.080000, 0.840000<=pH<=0.880000;
+0.040000<=pL<=0.080000, 0.880000<=pH<=0.920000;
+0.040000<=pL<=0.080000, 0.920000<=pH<=0.960000;
+0.040000<=pL<=0.080000, 0.960000<=pH<=0.999990;
+0.080000<=pL<=0.120000, 0.000010<=pH<=0.040000;
+0.080000<=pL<=0.120000, 0.040000<=pH<=0.080000;
+0.080000<=pL<=0.120000, 0.080000<=pH<=0.120000;
+0.080000<=pL<=0.120000, 0.120000<=pH<=0.160000;
+0.080000<=pL<=0.120000, 0.160000<=pH<=0.200000;
+0.080000<=pL<=0.120000, 0.200000<=pH<=0.240000;
+0.080000<=pL<=0.120000, 0.240000<=pH<=0.280000;
+0.080000<=pL<=0.120000, 0.280000<=pH<=0.320000;
+0.080000<=pL<=0.120000, 0.320000<=pH<=0.360000;
+0.080000<=pL<=0.120000, 0.360000<=pH<=0.400000;
+0.080000<=pL<=0.120000, 0.400000<=pH<=0.440000;
+0.080000<=pL<=0.120000, 0.440000<=pH<=0.480000;
+0.080000<=pL<=0.120000, 0.480000<=pH<=0.520000;
+0.080000<=pL<=0.120000, 0.520000<=pH<=0.560000;
+0.080000<=pL<=0.120000, 0.560000<=pH<=0.600000;
+0.080000<=pL<=0.120000, 0.600000<=pH<=0.640000;
+0.080000<=pL<=0.120000, 0.640000<=pH<=0.680000;
+0.080000<=pL<=0.120000, 0.680000<=pH<=0.720000;
+0.080000<=pL<=0.120000, 0.720000<=pH<=0.760000;
+0.080000<=pL<=0.120000, 0.760000<=pH<=0.800000;
+0.080000<=pL<=0.120000, 0.800000<=pH<=0.840000;
+0.080000<=pL<=0.120000, 0.840000<=pH<=0.880000;
+0.080000<=pL<=0.120000, 0.880000<=pH<=0.920000;
+0.080000<=pL<=0.120000, 0.920000<=pH<=0.960000;
+0.080000<=pL<=0.120000, 0.960000<=pH<=0.999990;
+0.120000<=pL<=0.160000, 0.000010<=pH<=0.040000;
+0.120000<=pL<=0.160000, 0.040000<=pH<=0.080000;
+0.120000<=pL<=0.160000, 0.080000<=pH<=0.120000;
+0.120000<=pL<=0.160000, 0.120000<=pH<=0.160000;
+0.120000<=pL<=0.160000, 0.160000<=pH<=0.200000;
+0.120000<=pL<=0.160000, 0.200000<=pH<=0.240000;
+0.120000<=pL<=0.160000, 0.240000<=pH<=0.280000;
+0.120000<=pL<=0.160000, 0.280000<=pH<=0.320000;
+0.120000<=pL<=0.160000, 0.320000<=pH<=0.360000;
+0.120000<=pL<=0.160000, 0.360000<=pH<=0.400000;
+0.120000<=pL<=0.160000, 0.400000<=pH<=0.440000;
+0.120000<=pL<=0.160000, 0.440000<=pH<=0.480000;
+0.120000<=pL<=0.160000, 0.480000<=pH<=0.520000;
+0.120000<=pL<=0.160000, 0.520000<=pH<=0.560000;
+0.120000<=pL<=0.160000, 0.560000<=pH<=0.600000;
+0.120000<=pL<=0.160000, 0.600000<=pH<=0.640000;
+0.120000<=pL<=0.160000, 0.640000<=pH<=0.680000;
+0.120000<=pL<=0.160000, 0.680000<=pH<=0.720000;
+0.120000<=pL<=0.160000, 0.720000<=pH<=0.760000;
+0.120000<=pL<=0.160000, 0.760000<=pH<=0.800000;
+0.120000<=pL<=0.160000, 0.800000<=pH<=0.840000;
+0.120000<=pL<=0.160000, 0.840000<=pH<=0.880000;
+0.120000<=pL<=0.160000, 0.880000<=pH<=0.920000;
+0.120000<=pL<=0.160000, 0.920000<=pH<=0.960000;
+0.120000<=pL<=0.160000, 0.960000<=pH<=0.999990;
+0.160000<=pL<=0.200000, 0.000010<=pH<=0.040000;
+0.160000<=pL<=0.200000, 0.040000<=pH<=0.080000;
+0.160000<=pL<=0.200000, 0.080000<=pH<=0.120000;
+0.160000<=pL<=0.200000, 0.120000<=pH<=0.160000;
+0.160000<=pL<=0.200000, 0.160000<=pH<=0.200000;
+0.160000<=pL<=0.200000, 0.200000<=pH<=0.240000;
+0.160000<=pL<=0.200000, 0.240000<=pH<=0.280000;
+0.160000<=pL<=0.200000, 0.280000<=pH<=0.320000;
+0.160000<=pL<=0.200000, 0.320000<=pH<=0.360000;
+0.160000<=pL<=0.200000, 0.360000<=pH<=0.400000;
+0.160000<=pL<=0.200000, 0.400000<=pH<=0.440000;
+0.160000<=pL<=0.200000, 0.440000<=pH<=0.480000;
+0.160000<=pL<=0.200000, 0.480000<=pH<=0.520000;
+0.160000<=pL<=0.200000, 0.520000<=pH<=0.560000;
+0.160000<=pL<=0.200000, 0.560000<=pH<=0.600000;
+0.160000<=pL<=0.200000, 0.600000<=pH<=0.640000;
+0.160000<=pL<=0.200000, 0.640000<=pH<=0.680000;
+0.160000<=pL<=0.200000, 0.680000<=pH<=0.720000;
+0.160000<=pL<=0.200000, 0.720000<=pH<=0.760000;
+0.160000<=pL<=0.200000, 0.760000<=pH<=0.800000;
+0.160000<=pL<=0.200000, 0.800000<=pH<=0.840000;
+0.160000<=pL<=0.200000, 0.840000<=pH<=0.880000;
+0.160000<=pL<=0.200000, 0.880000<=pH<=0.920000;
+0.160000<=pL<=0.200000, 0.920000<=pH<=0.960000;
+0.160000<=pL<=0.200000, 0.960000<=pH<=0.999990;
+0.200000<=pL<=0.240000, 0.000010<=pH<=0.040000;
+0.200000<=pL<=0.240000, 0.040000<=pH<=0.080000;
+0.200000<=pL<=0.240000, 0.080000<=pH<=0.120000;
+0.200000<=pL<=0.240000, 0.120000<=pH<=0.160000;
+0.200000<=pL<=0.240000, 0.160000<=pH<=0.200000;
+0.200000<=pL<=0.240000, 0.200000<=pH<=0.240000;
+0.200000<=pL<=0.240000, 0.240000<=pH<=0.280000;
+0.200000<=pL<=0.240000, 0.280000<=pH<=0.320000;
+0.200000<=pL<=0.240000, 0.320000<=pH<=0.360000;
+0.200000<=pL<=0.240000, 0.360000<=pH<=0.400000;
+0.200000<=pL<=0.240000, 0.400000<=pH<=0.440000;
+0.200000<=pL<=0.240000, 0.440000<=pH<=0.480000;
+0.200000<=pL<=0.240000, 0.480000<=pH<=0.520000;
+0.200000<=pL<=0.240000, 0.520000<=pH<=0.560000;
+0.200000<=pL<=0.240000, 0.560000<=pH<=0.600000;
+0.200000<=pL<=0.240000, 0.600000<=pH<=0.640000;
+0.200000<=pL<=0.240000, 0.640000<=pH<=0.680000;
+0.200000<=pL<=0.240000, 0.680000<=pH<=0.720000;
+0.200000<=pL<=0.240000, 0.720000<=pH<=0.760000;
+0.200000<=pL<=0.240000, 0.760000<=pH<=0.800000;
+0.200000<=pL<=0.240000, 0.800000<=pH<=0.840000;
+0.200000<=pL<=0.240000, 0.840000<=pH<=0.880000;
+0.200000<=pL<=0.240000, 0.880000<=pH<=0.920000;
+0.200000<=pL<=0.240000, 0.920000<=pH<=0.960000;
+0.200000<=pL<=0.240000, 0.960000<=pH<=0.999990;
+0.240000<=pL<=0.280000, 0.000010<=pH<=0.040000;
+0.240000<=pL<=0.280000, 0.040000<=pH<=0.080000;
+0.240000<=pL<=0.280000, 0.080000<=pH<=0.120000;
+0.240000<=pL<=0.280000, 0.120000<=pH<=0.160000;
+0.240000<=pL<=0.280000, 0.160000<=pH<=0.200000;
+0.240000<=pL<=0.280000, 0.200000<=pH<=0.240000;
+0.240000<=pL<=0.280000, 0.240000<=pH<=0.280000;
+0.240000<=pL<=0.280000, 0.280000<=pH<=0.320000;
+0.240000<=pL<=0.280000, 0.320000<=pH<=0.360000;
+0.240000<=pL<=0.280000, 0.360000<=pH<=0.400000;
+0.240000<=pL<=0.280000, 0.400000<=pH<=0.440000;
+0.240000<=pL<=0.280000, 0.440000<=pH<=0.480000;
+0.240000<=pL<=0.280000, 0.480000<=pH<=0.520000;
+0.240000<=pL<=0.280000, 0.520000<=pH<=0.560000;
+0.240000<=pL<=0.280000, 0.560000<=pH<=0.600000;
+0.240000<=pL<=0.280000, 0.600000<=pH<=0.640000;
+0.240000<=pL<=0.280000, 0.640000<=pH<=0.680000;
+0.240000<=pL<=0.280000, 0.680000<=pH<=0.720000;
+0.240000<=pL<=0.280000, 0.720000<=pH<=0.760000;
+0.240000<=pL<=0.280000, 0.760000<=pH<=0.800000;
+0.240000<=pL<=0.280000, 0.800000<=pH<=0.840000;
+0.240000<=pL<=0.280000, 0.840000<=pH<=0.880000;
+0.240000<=pL<=0.280000, 0.880000<=pH<=0.920000;
+0.240000<=pL<=0.280000, 0.920000<=pH<=0.960000;
+0.240000<=pL<=0.280000, 0.960000<=pH<=0.999990;
+0.280000<=pL<=0.320000, 0.000010<=pH<=0.040000;
+0.280000<=pL<=0.320000, 0.040000<=pH<=0.080000;
+0.280000<=pL<=0.320000, 0.080000<=pH<=0.120000;
+0.280000<=pL<=0.320000, 0.120000<=pH<=0.160000;
+0.280000<=pL<=0.320000, 0.160000<=pH<=0.200000;
+0.280000<=pL<=0.320000, 0.200000<=pH<=0.240000;
+0.280000<=pL<=0.320000, 0.240000<=pH<=0.280000;
+0.280000<=pL<=0.320000, 0.280000<=pH<=0.320000;
+0.280000<=pL<=0.320000, 0.320000<=pH<=0.360000;
+0.280000<=pL<=0.320000, 0.360000<=pH<=0.400000;
+0.280000<=pL<=0.320000, 0.400000<=pH<=0.440000;
+0.280000<=pL<=0.320000, 0.440000<=pH<=0.480000;
+0.280000<=pL<=0.320000, 0.480000<=pH<=0.520000;
+0.280000<=pL<=0.320000, 0.520000<=pH<=0.560000;
+0.280000<=pL<=0.320000, 0.560000<=pH<=0.600000;
+0.280000<=pL<=0.320000, 0.600000<=pH<=0.640000;
+0.280000<=pL<=0.320000, 0.640000<=pH<=0.680000;
+0.280000<=pL<=0.320000, 0.680000<=pH<=0.720000;
+0.280000<=pL<=0.320000, 0.720000<=pH<=0.760000;
+0.280000<=pL<=0.320000, 0.760000<=pH<=0.800000;
+0.280000<=pL<=0.320000, 0.800000<=pH<=0.840000;
+0.280000<=pL<=0.320000, 0.840000<=pH<=0.880000;
+0.280000<=pL<=0.320000, 0.880000<=pH<=0.920000;
+0.280000<=pL<=0.320000, 0.920000<=pH<=0.960000;
+0.280000<=pL<=0.320000, 0.960000<=pH<=0.999990;
+0.320000<=pL<=0.360000, 0.000010<=pH<=0.040000;
+0.320000<=pL<=0.360000, 0.040000<=pH<=0.080000;
+0.320000<=pL<=0.360000, 0.080000<=pH<=0.120000;
+0.320000<=pL<=0.360000, 0.120000<=pH<=0.160000;
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+0.760000<=pL<=0.800000, 0.840000<=pH<=0.880000;
+0.760000<=pL<=0.800000, 0.880000<=pH<=0.920000;
+0.760000<=pL<=0.800000, 0.920000<=pH<=0.960000;
+0.760000<=pL<=0.800000, 0.960000<=pH<=0.999990;
+0.800000<=pL<=0.840000, 0.000010<=pH<=0.040000;
+0.800000<=pL<=0.840000, 0.040000<=pH<=0.080000;
+0.800000<=pL<=0.840000, 0.080000<=pH<=0.120000;
+0.800000<=pL<=0.840000, 0.120000<=pH<=0.160000;
+0.800000<=pL<=0.840000, 0.160000<=pH<=0.200000;
+0.800000<=pL<=0.840000, 0.200000<=pH<=0.240000;
+0.800000<=pL<=0.840000, 0.240000<=pH<=0.280000;
+0.800000<=pL<=0.840000, 0.280000<=pH<=0.320000;
+0.800000<=pL<=0.840000, 0.320000<=pH<=0.360000;
+0.800000<=pL<=0.840000, 0.360000<=pH<=0.400000;
+0.800000<=pL<=0.840000, 0.400000<=pH<=0.440000;
+0.800000<=pL<=0.840000, 0.440000<=pH<=0.480000;
+0.800000<=pL<=0.840000, 0.480000<=pH<=0.520000;
+0.800000<=pL<=0.840000, 0.520000<=pH<=0.560000;
+0.800000<=pL<=0.840000, 0.560000<=pH<=0.600000;
+0.800000<=pL<=0.840000, 0.600000<=pH<=0.640000;
+0.800000<=pL<=0.840000, 0.640000<=pH<=0.680000;
+0.800000<=pL<=0.840000, 0.680000<=pH<=0.720000;
+0.800000<=pL<=0.840000, 0.720000<=pH<=0.760000;
+0.800000<=pL<=0.840000, 0.760000<=pH<=0.800000;
+0.800000<=pL<=0.840000, 0.800000<=pH<=0.840000;
+0.800000<=pL<=0.840000, 0.840000<=pH<=0.880000;
+0.800000<=pL<=0.840000, 0.880000<=pH<=0.920000;
+0.800000<=pL<=0.840000, 0.920000<=pH<=0.960000;
+0.800000<=pL<=0.840000, 0.960000<=pH<=0.999990;
+0.840000<=pL<=0.880000, 0.000010<=pH<=0.040000;
+0.840000<=pL<=0.880000, 0.040000<=pH<=0.080000;
+0.840000<=pL<=0.880000, 0.080000<=pH<=0.120000;
+0.840000<=pL<=0.880000, 0.120000<=pH<=0.160000;
+0.840000<=pL<=0.880000, 0.160000<=pH<=0.200000;
+0.840000<=pL<=0.880000, 0.200000<=pH<=0.240000;
+0.840000<=pL<=0.880000, 0.240000<=pH<=0.280000;
+0.840000<=pL<=0.880000, 0.280000<=pH<=0.320000;
+0.840000<=pL<=0.880000, 0.320000<=pH<=0.360000;
+0.840000<=pL<=0.880000, 0.360000<=pH<=0.400000;
+0.840000<=pL<=0.880000, 0.400000<=pH<=0.440000;
+0.840000<=pL<=0.880000, 0.440000<=pH<=0.480000;
+0.840000<=pL<=0.880000, 0.480000<=pH<=0.520000;
+0.840000<=pL<=0.880000, 0.520000<=pH<=0.560000;
+0.840000<=pL<=0.880000, 0.560000<=pH<=0.600000;
+0.840000<=pL<=0.880000, 0.600000<=pH<=0.640000;
+0.840000<=pL<=0.880000, 0.640000<=pH<=0.680000;
+0.840000<=pL<=0.880000, 0.680000<=pH<=0.720000;
+0.840000<=pL<=0.880000, 0.720000<=pH<=0.760000;
+0.840000<=pL<=0.880000, 0.760000<=pH<=0.800000;
+0.840000<=pL<=0.880000, 0.800000<=pH<=0.840000;
+0.840000<=pL<=0.880000, 0.840000<=pH<=0.880000;
+0.840000<=pL<=0.880000, 0.880000<=pH<=0.920000;
+0.840000<=pL<=0.880000, 0.920000<=pH<=0.960000;
+0.840000<=pL<=0.880000, 0.960000<=pH<=0.999990;
+0.880000<=pL<=0.920000, 0.000010<=pH<=0.040000;
+0.880000<=pL<=0.920000, 0.040000<=pH<=0.080000;
+0.880000<=pL<=0.920000, 0.080000<=pH<=0.120000;
+0.880000<=pL<=0.920000, 0.120000<=pH<=0.160000;
+0.880000<=pL<=0.920000, 0.160000<=pH<=0.200000;
+0.880000<=pL<=0.920000, 0.200000<=pH<=0.240000;
+0.880000<=pL<=0.920000, 0.240000<=pH<=0.280000;
+0.880000<=pL<=0.920000, 0.280000<=pH<=0.320000;
+0.880000<=pL<=0.920000, 0.320000<=pH<=0.360000;
+0.880000<=pL<=0.920000, 0.360000<=pH<=0.400000;
+0.880000<=pL<=0.920000, 0.400000<=pH<=0.440000;
+0.880000<=pL<=0.920000, 0.440000<=pH<=0.480000;
+0.880000<=pL<=0.920000, 0.480000<=pH<=0.520000;
+0.880000<=pL<=0.920000, 0.520000<=pH<=0.560000;
+0.880000<=pL<=0.920000, 0.560000<=pH<=0.600000;
+0.880000<=pL<=0.920000, 0.600000<=pH<=0.640000;
+0.880000<=pL<=0.920000, 0.640000<=pH<=0.680000;
+0.880000<=pL<=0.920000, 0.680000<=pH<=0.720000;
+0.880000<=pL<=0.920000, 0.720000<=pH<=0.760000;
+0.880000<=pL<=0.920000, 0.760000<=pH<=0.800000;
+0.880000<=pL<=0.920000, 0.800000<=pH<=0.840000;
+0.880000<=pL<=0.920000, 0.840000<=pH<=0.880000;
+0.880000<=pL<=0.920000, 0.880000<=pH<=0.920000;
+0.880000<=pL<=0.920000, 0.920000<=pH<=0.960000;
+0.880000<=pL<=0.920000, 0.960000<=pH<=0.999990;
+0.920000<=pL<=0.960000, 0.000010<=pH<=0.040000;
+0.920000<=pL<=0.960000, 0.040000<=pH<=0.080000;
+0.920000<=pL<=0.960000, 0.080000<=pH<=0.120000;
+0.920000<=pL<=0.960000, 0.120000<=pH<=0.160000;
+0.920000<=pL<=0.960000, 0.160000<=pH<=0.200000;
+0.920000<=pL<=0.960000, 0.200000<=pH<=0.240000;
+0.920000<=pL<=0.960000, 0.240000<=pH<=0.280000;
+0.920000<=pL<=0.960000, 0.280000<=pH<=0.320000;
+0.920000<=pL<=0.960000, 0.320000<=pH<=0.360000;
+0.920000<=pL<=0.960000, 0.360000<=pH<=0.400000;
+0.920000<=pL<=0.960000, 0.400000<=pH<=0.440000;
+0.920000<=pL<=0.960000, 0.440000<=pH<=0.480000;
+0.920000<=pL<=0.960000, 0.480000<=pH<=0.520000;
+0.920000<=pL<=0.960000, 0.520000<=pH<=0.560000;
+0.920000<=pL<=0.960000, 0.560000<=pH<=0.600000;
+0.920000<=pL<=0.960000, 0.600000<=pH<=0.640000;
+0.920000<=pL<=0.960000, 0.640000<=pH<=0.680000;
+0.920000<=pL<=0.960000, 0.680000<=pH<=0.720000;
+0.920000<=pL<=0.960000, 0.720000<=pH<=0.760000;
+0.920000<=pL<=0.960000, 0.760000<=pH<=0.800000;
+0.920000<=pL<=0.960000, 0.800000<=pH<=0.840000;
+0.920000<=pL<=0.960000, 0.840000<=pH<=0.880000;
+0.920000<=pL<=0.960000, 0.880000<=pH<=0.920000;
+0.920000<=pL<=0.960000, 0.920000<=pH<=0.960000;
+0.920000<=pL<=0.960000, 0.960000<=pH<=0.999990;
+0.960000<=pL<=0.999990, 0.000010<=pH<=0.040000;
+0.960000<=pL<=0.999990, 0.040000<=pH<=0.080000;
+0.960000<=pL<=0.999990, 0.080000<=pH<=0.120000;
+0.960000<=pL<=0.999990, 0.120000<=pH<=0.160000;
+0.960000<=pL<=0.999990, 0.160000<=pH<=0.200000;
+0.960000<=pL<=0.999990, 0.200000<=pH<=0.240000;
+0.960000<=pL<=0.999990, 0.240000<=pH<=0.280000;
+0.960000<=pL<=0.999990, 0.280000<=pH<=0.320000;
+0.960000<=pL<=0.999990, 0.320000<=pH<=0.360000;
+0.960000<=pL<=0.999990, 0.360000<=pH<=0.400000;
+0.960000<=pL<=0.999990, 0.400000<=pH<=0.440000;
+0.960000<=pL<=0.999990, 0.440000<=pH<=0.480000;
+0.960000<=pL<=0.999990, 0.480000<=pH<=0.520000;
+0.960000<=pL<=0.999990, 0.520000<=pH<=0.560000;
+0.960000<=pL<=0.999990, 0.560000<=pH<=0.600000;
+0.960000<=pL<=0.999990, 0.600000<=pH<=0.640000;
+0.960000<=pL<=0.999990, 0.640000<=pH<=0.680000;
+0.960000<=pL<=0.999990, 0.680000<=pH<=0.720000;
+0.960000<=pL<=0.999990, 0.720000<=pH<=0.760000;
+0.960000<=pL<=0.999990, 0.760000<=pH<=0.800000;
+0.960000<=pL<=0.999990, 0.800000<=pH<=0.840000;
+0.960000<=pL<=0.999990, 0.840000<=pH<=0.880000;
+0.960000<=pL<=0.999990, 0.880000<=pH<=0.920000;
+0.960000<=pL<=0.999990, 0.920000<=pH<=0.960000;
+0.960000<=pL<=0.999990, 0.960000<=pH<=0.999990;

examples/pmdp/reporter4/models

@@ -0,0 +1,3 @@
+reporter4.pm -const Xsize=6,Ysize=6,MAXTRIES=2,B=2 
+reporter4.pm -const Xsize=25,Ysize=25,MAXTRIES=5,B=5
+reporter4.pm -const Xsize=50,Ysize=50,MAXTRIES=8,B=8

examples/pmdp/reporter4/reporter25_25_5_5.pm

@@ -0,0 +1,73 @@
+// GRID WORLD MODEL OF A SEMIAUTONOMOUS EXPLORING ROBOT
+// Sebastian Junges, RWTH Aachen University
+// As described in 
+// Junges, Jansen, Dehnert, Topcu, Katoen: 
+// Safety Constrained Reinforcement Learning
+// Proc. of TACAS’16
+
+mdp
+
+//PARAMETERS
+//The difference of the reliability of the channels between the worst and at the best position
+const double pLDiff;//=0.1;
+const double pHDiff;//=0.1;
+//Scaling factor for the minimum reliability of the channels
+const double pL;//=8/9;
+const double pH;//=1;
+
+//CONSTANTS
+//The minimum reliablities
+const double pLMin=pL*(1-pLDiff);
+const double pHMin=pH*(1-pHDiff);
+
+// Grid size
+const int Xsize = 25;
+const int Ysize = 25;
+// Number of tries before an error
+const int MAXTRIES = 5;
+// Ball within the robot has to move.
+const int B=5;
+
+
+formula T = (xLoc = Xsize & yLoc = Ysize);
+
+
+module robot
+  xLoc : [1..Ysize] init 1;
+  yLoc : [1..Xsize] init 1;
+  unreported : [0..B] init 0;
+  hasSendNow : bool init false;
+  tries : [0..MAXTRIES] init 0;
+
+  [up] xLoc < Xsize & !T  & hasSendNow  -> 1:(xLoc'=xLoc+1) & (unreported' = 0) & (hasSendNow'=false);
+  [up] xLoc < Xsize & !T  & !hasSendNow -> 1:(xLoc'=xLoc+1) & (unreported'=min(unreported+1, B));
+  [right] yLoc < Ysize & !T  & hasSendNow  -> 1:(yLoc'=yLoc+1) & (unreported' = 0)& (hasSendNow'=false);
+  [right] yLoc < Ysize & !T  & !hasSendNow -> 1:(yLoc'=yLoc+1) & (unreported'=min(unreported+1,B));
+  [sendL] !hasSendNow & !T & tries < MAXTRIES -> (pLMin + pLDiff * xLoc/Xsize):(hasSendNow'=true) & (tries'=0) + (1 - pLMin - pLDiff * xLoc/Xsize): (tries'=tries+1);
+  [sendH] !hasSendNow & !T & tries < MAXTRIES -> (pHMin + pHDiff * yLoc/Ysize):(hasSendNow'=true) & (tries'=0) + (1 - pHMin - pHDiff * yLoc/Ysize): (tries'=tries+1);
+  [done] T -> 1:true;
+endmodule
+
+rewards "sendbased"
+  [up] true: 0.03;
+  [right] true: 0.03;
+	[sendL] true: max(10, min(11 + xLoc - yLoc, 20));
+	[sendH] true: min(13 + xLoc + yLoc, 24);
+endrewards
+
+rewards "sendbased_lower"
+  [up] true: 0.03;
+  [right] true: 0.03;
+	[sendL] true: 10;
+	[sendH] true: 12;
+endrewards
+
+rewards "sendbased_upper"
+  [up] true: 0.03;
+  [right] true: 0.03;
+	[sendL] true: 20;
+	[sendH] true: 24;
+endrewards
+
+label "Target" = T;
+label "Crash" = unreported=B;

examples/pmdp/reporter4/reporter4.pm

@@ -0,0 +1,73 @@
+// GRID WORLD MODEL OF A SEMIAUTONOMOUS EXPLORING ROBOT
+// Sebastian Junges, RWTH Aachen University
+// As described in 
+// Junges, Jansen, Dehnert, Topcu, Katoen: 
+// Safety Constrained Reinforcement Learning
+// Proc. of TACAS’16
+
+mdp
+
+//PARAMETERS
+//The difference of the reliability of the channels between the worst and at the best position
+const double pLDiff;//=0.1;
+const double pHDiff;//=0.1;
+//Scaling factor for the minimum reliability of the channels
+const double pL;//=8/9;
+const double pH;//=1;
+
+//CONSTANTS
+//The minimum reliablities
+const double pLMin=pL*(1-pLDiff);
+const double pHMin=pH*(1-pHDiff);
+
+// Grid size
+const int Xsize;
+const int Ysize;
+// Number of tries before an error
+const int MAXTRIES;
+// Ball within the robot has to move.
+const int B;
+
+
+formula T = (xLoc = Xsize & yLoc = Ysize);
+
+
+module robot
+  xLoc : [1..Ysize] init 1;
+  yLoc : [1..Xsize] init 1;
+  unreported : [0..B] init 0;
+  hasSendNow : bool init false;
+  tries : [0..MAXTRIES] init 0;
+
+  [up] xLoc < Xsize & !T  & hasSendNow  -> 1:(xLoc'=xLoc+1) & (unreported' = 0) & (hasSendNow'=false);
+  [up] xLoc < Xsize & !T  & !hasSendNow -> 1:(xLoc'=xLoc+1) & (unreported'=min(unreported+1, B));
+  [right] yLoc < Ysize & !T  & hasSendNow  -> 1:(yLoc'=yLoc+1) & (unreported' = 0)& (hasSendNow'=false);
+  [right] yLoc < Ysize & !T  & !hasSendNow -> 1:(yLoc'=yLoc+1) & (unreported'=min(unreported+1,B));
+  [sendL] !hasSendNow & !T & tries < MAXTRIES -> (pLMin + pLDiff * xLoc/Xsize):(hasSendNow'=true) & (tries'=0) + (1 - pLMin - pLDiff * xLoc/Xsize): (tries'=tries+1);
+  [sendH] !hasSendNow & !T & tries < MAXTRIES -> (pHMin + pHDiff * yLoc/Ysize):(hasSendNow'=true) & (tries'=0) + (1 - pHMin - pHDiff * yLoc/Ysize): (tries'=tries+1);
+  [done] T -> 1:true;
+endmodule
+
+rewards "sendbased"
+  [up] true: 0.03;
+  [right] true: 0.03;
+	[sendL] true: max(10, min(11 + xLoc - yLoc, 20));
+	[sendH] true: min(13 + xLoc + yLoc, 24);
+endrewards
+
+rewards "sendbased_lower"
+  [up] true: 0.03;
+  [right] true: 0.03;
+	[sendL] true: 10;
+	[sendH] true: 12;
+endrewards
+
+rewards "sendbased_upper"
+  [up] true: 0.03;
+  [right] true: 0.03;
+	[sendL] true: 20;
+	[sendH] true: 24;
+endrewards
+
+label "Target" = T;
+label "Crash" = unreported=B;

examples/pmdp/reporter4/reporter4.prctl

@@ -0,0 +1 @@
+P>0.3[F "Crash" ]

examples/pmdp/reporter4/reporter4_regions.txt

@@ -0,0 +1,625 @@
+0.000010<=pL<=0.200000, 0.000010<=pH<=0.200000, 0.000010<=pLDiff<=0.200000, 0.000010<=pHDiff<=0.200000;
+0.000010<=pL<=0.200000, 0.000010<=pH<=0.200000, 0.000010<=pLDiff<=0.200000, 0.200000<=pHDiff<=0.400000;
+0.000010<=pL<=0.200000, 0.000010<=pH<=0.200000, 0.000010<=pLDiff<=0.200000, 0.400000<=pHDiff<=0.600000;
+0.000010<=pL<=0.200000, 0.000010<=pH<=0.200000, 0.000010<=pLDiff<=0.200000, 0.600000<=pHDiff<=0.800000;
+0.000010<=pL<=0.200000, 0.000010<=pH<=0.200000, 0.000010<=pLDiff<=0.200000, 0.800000<=pHDiff<=0.999990;
+0.000010<=pL<=0.200000, 0.000010<=pH<=0.200000, 0.200000<=pLDiff<=0.400000, 0.000010<=pHDiff<=0.200000;
+0.000010<=pL<=0.200000, 0.000010<=pH<=0.200000, 0.200000<=pLDiff<=0.400000, 0.200000<=pHDiff<=0.400000;
+0.000010<=pL<=0.200000, 0.000010<=pH<=0.200000, 0.200000<=pLDiff<=0.400000, 0.400000<=pHDiff<=0.600000;
+0.000010<=pL<=0.200000, 0.000010<=pH<=0.200000, 0.200000<=pLDiff<=0.400000, 0.600000<=pHDiff<=0.800000;
+0.000010<=pL<=0.200000, 0.000010<=pH<=0.200000, 0.200000<=pLDiff<=0.400000, 0.800000<=pHDiff<=0.999990;
+0.000010<=pL<=0.200000, 0.000010<=pH<=0.200000, 0.400000<=pLDiff<=0.600000, 0.000010<=pHDiff<=0.200000;
+0.000010<=pL<=0.200000, 0.000010<=pH<=0.200000, 0.400000<=pLDiff<=0.600000, 0.200000<=pHDiff<=0.400000;
+0.000010<=pL<=0.200000, 0.000010<=pH<=0.200000, 0.400000<=pLDiff<=0.600000, 0.400000<=pHDiff<=0.600000;
+0.000010<=pL<=0.200000, 0.000010<=pH<=0.200000, 0.400000<=pLDiff<=0.600000, 0.600000<=pHDiff<=0.800000;
+0.000010<=pL<=0.200000, 0.000010<=pH<=0.200000, 0.400000<=pLDiff<=0.600000, 0.800000<=pHDiff<=0.999990;
+0.000010<=pL<=0.200000, 0.000010<=pH<=0.200000, 0.600000<=pLDiff<=0.800000, 0.000010<=pHDiff<=0.200000;
+0.000010<=pL<=0.200000, 0.000010<=pH<=0.200000, 0.600000<=pLDiff<=0.800000, 0.200000<=pHDiff<=0.400000;
+0.000010<=pL<=0.200000, 0.000010<=pH<=0.200000, 0.600000<=pLDiff<=0.800000, 0.400000<=pHDiff<=0.600000;
+0.000010<=pL<=0.200000, 0.000010<=pH<=0.200000, 0.600000<=pLDiff<=0.800000, 0.600000<=pHDiff<=0.800000;
+0.000010<=pL<=0.200000, 0.000010<=pH<=0.200000, 0.600000<=pLDiff<=0.800000, 0.800000<=pHDiff<=0.999990;
+0.000010<=pL<=0.200000, 0.000010<=pH<=0.200000, 0.800000<=pLDiff<=0.999990, 0.000010<=pHDiff<=0.200000;
+0.000010<=pL<=0.200000, 0.000010<=pH<=0.200000, 0.800000<=pLDiff<=0.999990, 0.200000<=pHDiff<=0.400000;
+0.000010<=pL<=0.200000, 0.000010<=pH<=0.200000, 0.800000<=pLDiff<=0.999990, 0.400000<=pHDiff<=0.600000;
+0.000010<=pL<=0.200000, 0.000010<=pH<=0.200000, 0.800000<=pLDiff<=0.999990, 0.600000<=pHDiff<=0.800000;
+0.000010<=pL<=0.200000, 0.000010<=pH<=0.200000, 0.800000<=pLDiff<=0.999990, 0.800000<=pHDiff<=0.999990;
+0.000010<=pL<=0.200000, 0.200000<=pH<=0.400000, 0.000010<=pLDiff<=0.200000, 0.000010<=pHDiff<=0.200000;
+0.000010<=pL<=0.200000, 0.200000<=pH<=0.400000, 0.000010<=pLDiff<=0.200000, 0.200000<=pHDiff<=0.400000;
+0.000010<=pL<=0.200000, 0.200000<=pH<=0.400000, 0.000010<=pLDiff<=0.200000, 0.400000<=pHDiff<=0.600000;
+0.000010<=pL<=0.200000, 0.200000<=pH<=0.400000, 0.000010<=pLDiff<=0.200000, 0.600000<=pHDiff<=0.800000;
+0.000010<=pL<=0.200000, 0.200000<=pH<=0.400000, 0.000010<=pLDiff<=0.200000, 0.800000<=pHDiff<=0.999990;
+0.000010<=pL<=0.200000, 0.200000<=pH<=0.400000, 0.200000<=pLDiff<=0.400000, 0.000010<=pHDiff<=0.200000;
+0.000010<=pL<=0.200000, 0.200000<=pH<=0.400000, 0.200000<=pLDiff<=0.400000, 0.200000<=pHDiff<=0.400000;
+0.000010<=pL<=0.200000, 0.200000<=pH<=0.400000, 0.200000<=pLDiff<=0.400000, 0.400000<=pHDiff<=0.600000;
+0.000010<=pL<=0.200000, 0.200000<=pH<=0.400000, 0.200000<=pLDiff<=0.400000, 0.600000<=pHDiff<=0.800000;
+0.000010<=pL<=0.200000, 0.200000<=pH<=0.400000, 0.200000<=pLDiff<=0.400000, 0.800000<=pHDiff<=0.999990;
+0.000010<=pL<=0.200000, 0.200000<=pH<=0.400000, 0.400000<=pLDiff<=0.600000, 0.000010<=pHDiff<=0.200000;
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+0.800000<=pL<=0.999990, 0.800000<=pH<=0.999990, 0.400000<=pLDiff<=0.600000, 0.400000<=pHDiff<=0.600000;
+0.800000<=pL<=0.999990, 0.800000<=pH<=0.999990, 0.400000<=pLDiff<=0.600000, 0.600000<=pHDiff<=0.800000;
+0.800000<=pL<=0.999990, 0.800000<=pH<=0.999990, 0.400000<=pLDiff<=0.600000, 0.800000<=pHDiff<=0.999990;
+0.800000<=pL<=0.999990, 0.800000<=pH<=0.999990, 0.600000<=pLDiff<=0.800000, 0.000010<=pHDiff<=0.200000;
+0.800000<=pL<=0.999990, 0.800000<=pH<=0.999990, 0.600000<=pLDiff<=0.800000, 0.200000<=pHDiff<=0.400000;
+0.800000<=pL<=0.999990, 0.800000<=pH<=0.999990, 0.600000<=pLDiff<=0.800000, 0.400000<=pHDiff<=0.600000;
+0.800000<=pL<=0.999990, 0.800000<=pH<=0.999990, 0.600000<=pLDiff<=0.800000, 0.600000<=pHDiff<=0.800000;
+0.800000<=pL<=0.999990, 0.800000<=pH<=0.999990, 0.600000<=pLDiff<=0.800000, 0.800000<=pHDiff<=0.999990;
+0.800000<=pL<=0.999990, 0.800000<=pH<=0.999990, 0.800000<=pLDiff<=0.999990, 0.000010<=pHDiff<=0.200000;
+0.800000<=pL<=0.999990, 0.800000<=pH<=0.999990, 0.800000<=pLDiff<=0.999990, 0.200000<=pHDiff<=0.400000;
+0.800000<=pL<=0.999990, 0.800000<=pH<=0.999990, 0.800000<=pLDiff<=0.999990, 0.400000<=pHDiff<=0.600000;
+0.800000<=pL<=0.999990, 0.800000<=pH<=0.999990, 0.800000<=pLDiff<=0.999990, 0.600000<=pHDiff<=0.800000;
+0.800000<=pL<=0.999990, 0.800000<=pH<=0.999990, 0.800000<=pLDiff<=0.999990, 0.800000<=pHDiff<=0.999990;

examples/pmdp/reporter4/reporter6_6_2_2.pm

@@ -0,0 +1,73 @@
+// GRID WORLD MODEL OF A SEMIAUTONOMOUS EXPLORING ROBOT
+// Sebastian Junges, RWTH Aachen University
+// As described in 
+// Junges, Jansen, Dehnert, Topcu, Katoen: 
+// Safety Constrained Reinforcement Learning
+// Proc. of TACAS’16
+
+mdp
+
+//PARAMETERS
+//The difference of the reliability of the channels between the worst and at the best position
+const double pLDiff;//=0.1;
+const double pHDiff;//=0.1;
+//Scaling factor for the minimum reliability of the channels
+const double pL;//=8/9;
+const double pH;//=1;
+
+//CONSTANTS
+//The minimum reliablities
+const double pLMin=pL*(1-pLDiff);
+const double pHMin=pH*(1-pHDiff);
+
+// Grid size
+const int Xsize = 6;
+const int Ysize = 6;
+// Number of tries before an error
+const int MAXTRIES = 2;
+// Ball within the robot has to move.
+const int B=2;
+
+
+formula T = (xLoc = Xsize & yLoc = Ysize);
+
+
+module robot
+  xLoc : [1..Ysize] init 1;
+  yLoc : [1..Xsize] init 1;
+  unreported : [0..B] init 0;
+  hasSendNow : bool init false;
+  tries : [0..MAXTRIES] init 0;
+
+  [up] xLoc < Xsize & !T  & hasSendNow  -> 1:(xLoc'=xLoc+1) & (unreported' = 0) & (hasSendNow'=false);
+  [up] xLoc < Xsize & !T  & !hasSendNow -> 1:(xLoc'=xLoc+1) & (unreported'=min(unreported+1, B));
+  [right] yLoc < Ysize & !T  & hasSendNow  -> 1:(yLoc'=yLoc+1) & (unreported' = 0)& (hasSendNow'=false);
+  [right] yLoc < Ysize & !T  & !hasSendNow -> 1:(yLoc'=yLoc+1) & (unreported'=min(unreported+1,B));
+  [sendL] !hasSendNow & !T & tries < MAXTRIES -> (pLMin + pLDiff * xLoc/Xsize):(hasSendNow'=true) & (tries'=0) + (1 - pLMin - pLDiff * xLoc/Xsize): (tries'=tries+1);
+  [sendH] !hasSendNow & !T & tries < MAXTRIES -> (pHMin + pHDiff * yLoc/Ysize):(hasSendNow'=true) & (tries'=0) + (1 - pHMin - pHDiff * yLoc/Ysize): (tries'=tries+1);
+  [done] T -> 1:true;
+endmodule
+
+rewards "sendbased"
+  [up] true: 0.03;
+  [right] true: 0.03;
+	[sendL] true: max(10, min(11 + xLoc - yLoc, 20));
+	[sendH] true: min(13 + xLoc + yLoc, 24);
+endrewards
+
+rewards "sendbased_lower"
+  [up] true: 0.03;
+  [right] true: 0.03;
+	[sendL] true: 10;
+	[sendH] true: 12;
+endrewards
+
+rewards "sendbased_upper"
+  [up] true: 0.03;
+  [right] true: 0.03;
+	[sendL] true: 20;
+	[sendH] true: 24;
+endrewards
+
+label "Target" = T;
+label "Crash" = unreported=B;

examples/pmdp/zeroconf/models

@@ -0,0 +1,4 @@
+zeroconf.pm -const K=2
+zeroconf.pm -const K=4
+zeroconf.pm -const K=6
+zeroconf.pm -const K=7

examples/pmdp/zeroconf/zeroconf.pm

@@ -0,0 +1,258 @@
+// IPv4: PTA model with digitial clocks
+// one concrete host attempting to choose an ip address 
+// when a number of (abstract) hosts have already got ip addresses
+// gxn/dxp/jzs 02/05/03
+
+// model is an mdp
+mdp
+
+// reset or noreset model
+const bool reset=false;
+
+//-------------------------------------------------------------
+
+// we suppose that
+// - the abstract hosts have already picked their addresses 
+//   and always defend their addresses
+// - the concrete host never picks the same ip address twice 
+//   (this can happen only with a verys small probability)
+
+// under these assumptions we do not need message types because:
+// 1) since messages to the concrete host will never be a probe, 
+//    this host will react to all messages in the same way
+// 2) since the abstract hosts always defend their addresses, 
+//    all messages from the host will get an arp reply if the ip matches
+
+// following from the above assumptions we require only three abstract IP addresses
+// (0,1 and 2) which correspond to the following sets of IP addresses:
+
+// 0 - the IP addresses of the abstract hosts which the concrete host 
+//     previously tried to configure
+// 1 - an IP address of an abstract host which the concrete host is 
+//     currently trying to configure
+// 2 - a fresh IP address which the concrete host is currently trying to configure
+
+// if the host picks an address that is being used it may end up picking another ip address
+// in which case there may still be messages corresponding to the old ip address
+// to be sent both from and to the host which the host should now disregard
+// (since it will never pick the same ip address)
+
+// to deal with this situation: when a host picks a new ip address we reconfigure the 
+// messages that are still be be sent or are being sent by changing the ip address to 0 
+// (an old ip address of the host)
+
+// all the messages from the abstract hosts for the 'old' address (in fact the
+// set of old addresses since it may have started again more than once)  
+// can arrive in any order since they are equivalent to the host - it ignores then all
+
+// also the messages for the old and new address will come from different hosts
+// (the ones with that ip address) which we model by allowing them to arrive in any order
+// i.e. not neccessarily in the order they where sent
+
+//-------------------------------------------------------------
+
+
+//-------------------------------------------------------------
+// VARIABLES
+//const int N; // number of abstract hosts
+const int K; // number of probes to send
+const double loss; // probability of message loss
+
+// PROBABILITIES
+const double old; //=N/65024; // probability pick an ip address being used
+const double new = (1-old); // probability pick a new ip address
+
+// TIMING CONSTANTS
+const int CONSEC = 2;  // time interval between sending consecutive probles 
+const int TRANSTIME = 1; // upper bound on transmission time delay
+const int LONGWAIT = 60; // minimum time delay after a high number of address collisions
+const int DEFEND = 10;
+
+const int TIME_MAX_X = 60; // max value of clock x
+const int TIME_MAX_Y = 10; // max value of clock y
+const int TIME_MAX_Z = 1;  // max value of clock z
+
+// OTHER CONSTANTS
+const int MAXCOLL = 10;  // maximum number of collisions before long wait
+// size of buffers for other hosts
+const int B0 = 20;  // buffer size for one abstract host
+const int B1 = 8;  // buffer sizes for all abstract hosts
+
+//-------------------------------------------------------------
+// ENVIRONMENT - models: medium, output buffer of concrete host and all other hosts
+module environment
+	
+	// buffer of concrete host
+	b_ip7 : [0..2]; // ip address of message in buffer position 8
+	b_ip6 : [0..2]; // ip address of message in buffer position 7
+	b_ip5 : [0..2]; // ip address of message in buffer position 6
+	b_ip4 : [0..2]; // ip address of message in buffer position 5
+	b_ip3 : [0..2]; // ip address of message in buffer position 4
+	b_ip2 : [0..2]; // ip address of message in buffer position 3
+	b_ip1 : [0..2]; // ip address of message in buffer position 2
+	b_ip0 : [0..2]; // ip address of message in buffer position 1
+	n : [0..8]; // number of places in the buffer used (from host)
+	
+	// messages to be sent from abstract hosts to concrete host
+	n0  : [0..B0]; // number of messages which do not have the host's current ip address
+	n1  : [0..B1]; // number of messages which have the host's current ip address
+	
+	b : [0..2]; // local state
+	// 0 - idle
+	// 1 - sending message from concrete host 
+	// 2 - sending message from abstract host
+	
+	z : [0..1]; // clock of environment (needed for the time to send a message)
+	
+	ip_mess : [0..2]; // ip in the current message being sent
+	// 0 - different from concrete host
+	// 1 - same as the concrete host and in use
+	// 2 - same as the concrete host and not in use
+	
+	// RESET/RECONFIG: when host is about to choose new ip address
+	// suppose that the host cannot choose the same ip address
+	// (since happens with very small probability). 
+	// Therefore all messages will have a different ip address, 
+	// i.e. all n1 messages become n0 ones.
+	// Note this include any message currently being sent (ip is set to zero 0)
+	[reset] true -> (n1'=0) & (n0'=min(B0,n0+n1)) // abstract buffers 
+	               & (ip_mess'=0) // message being set
+	               & (n'=(reset)?0:n) // concrete buffer (remove this update to get NO_RESET model)
+	               & (b_ip7'=0) 
+	               & (b_ip6'=0) 
+	               & (b_ip5'=0) 
+	               & (b_ip4'=0) 
+	               & (b_ip3'=0) 
+	               & (b_ip2'=0) 
+	               & (b_ip1'=0) 
+	               & (b_ip0'=0);
+	// note: prevent anything else from happening when reconfiguration needs to take place
+	
+	// time passage (only if no messages to send or sending a message)
+	[time] l>0 & b=0 & n=0 & n0=0 & n1=0 -> (b'=b); // cannot send a message
+	[time] l>0 & b>0 & z<1 -> (z'=min(z+1,TIME_MAX_Z)); // sending a message
+	
+	// get messages to be sent (so message has same ip address as host)
+	[send] l>0 & n=0 -> (b_ip0'=ip) & (n'=n+1);
+	[send] l>0 & n=1 -> (b_ip1'=ip) & (n'=n+1);
+	[send] l>0 & n=2 -> (b_ip2'=ip) & (n'=n+1);
+	[send] l>0 & n=3 -> (b_ip3'=ip) & (n'=n+1);
+	[send] l>0 & n=4 -> (b_ip4'=ip) & (n'=n+1);
+	[send] l>0 & n=5 -> (b_ip5'=ip) & (n'=n+1);
+	[send] l>0 & n=6 -> (b_ip6'=ip) & (n'=n+1);
+	[send] l>0 & n=7 -> (b_ip7'=ip) & (n'=n+1);
+	[send] l>0 & n=8 -> (n'=n); // buffer full so lose message
+	
+	// start sending message from host
+	[] l>0 & b=0 & n>0 -> (1-loss) : (b'=1) & (ip_mess'=b_ip0) 
+	                                & (n'=n-1)
+	                                & (b_ip7'=0) 
+	                                & (b_ip6'=b_ip7) 
+	                                & (b_ip5'=b_ip6) 
+	                                & (b_ip4'=b_ip5) 
+	                                & (b_ip3'=b_ip4) 
+	                                & (b_ip2'=b_ip3) 
+	                                & (b_ip1'=b_ip2) 
+	                                & (b_ip0'=b_ip1) // send message
+	                         + loss : (n'=n-1)
+	                                & (b_ip7'=0) 
+	                                & (b_ip6'=b_ip7) 
+	                                & (b_ip5'=b_ip6) 
+	                                & (b_ip4'=b_ip5) 
+	                                & (b_ip3'=b_ip4) 
+	                                & (b_ip2'=b_ip3) 
+	                                & (b_ip1'=b_ip2) 
+	                                & (b_ip0'=b_ip1); // lose message
+	
+	// start sending message to host
+	[] l>0 & b=0 & n0>0 -> (1-loss) : (b'=2) & (ip_mess'=0) & (n0'=n0-1) + loss : (n0'=n0-1); // different ip
+	[] l>0 & b=0 & n1>0 -> (1-loss) : (b'=2) & (ip_mess'=1) & (n1'=n1-1) + loss : (n1'=n1-1); // same ip
+	
+	// finish sending message from host
+	[] l>0 & b=1 & ip_mess=0 -> (b'=0) & (z'=0) & (n0'=min(n0+1,B0)) & (ip_mess'=0);
+	[] l>0 & b=1 & ip_mess=1 -> (b'=0) & (z'=0) & (n1'=min(n1+1,B1)) & (ip_mess'=0);
+	[] l>0 & b=1 & ip_mess=2 -> (b'=0) & (z'=0) & (ip_mess'=0);
+	
+	// finish sending message to host
+	[rec] l>0 & b=2 -> (b'=0) & (z'=0) & (ip_mess'=0);
+	
+endmodule
+
+//-------------------------------------------------------------
+// CONCRETE HOST
+module host0
+	
+	x : [0..TIME_MAX_X]; // first clock of the host
+	y : [0..TIME_MAX_Y]; // second clock of the host
+	
+	coll : [0..MAXCOLL]; // number of address collisions
+	probes : [0..K]; // counter (number of probes sent)
+	mess : [0..1]; // need to send a message or not
+	defend : [0..1]; // defend (if =1, try to defend IP address)
+	
+	ip : [1..2]; // ip address (1 - in use & 2 - fresh)
+	
+	l : [0..4] init 1; // location
+	// 0 : RECONFIGURE 
+	// 1 : RANDOM
+	// 2 : WAITSP
+	// 3 : WAITSG 
+	// 4 : USE
+	
+	// RECONFIGURE
+	[reset] l=0 -> (l'=1);
+	
+	// RANDOM (choose IP address)
+	[rec] (l=1) -> 1: true; // get message (ignore since have no ip address)
+	// small number of collisions (choose straight away)
+	[] l=1 & coll<MAXCOLL -> 1/3*old : (l'=2) & (ip'=1) & (x'=0) 
+		                     + 1/3*old : (l'=2) & (ip'=1) & (x'=1) 
+		                     + 1/3*old : (l'=2) & (ip'=1) & (x'=2) 
+		                     + 1/3*new : (l'=2) & (ip'=2) & (x'=0) 
+		                     + 1/3*new : (l'=2) & (ip'=2) & (x'=1) 
+		                     + 1/3*new : (l'=2) & (ip'=2) & (x'=2); 
+	// large number of collisions: (wait for LONGWAIT)
+	[time] l=1 & coll=MAXCOLL & x<LONGWAIT -> (x'=min(x+1,TIME_MAX_X));
+	[]     l=1 & coll=MAXCOLL & x=LONGWAIT -> 1/3*old : (l'=2) & (ip'=1) & (x'=0) 
+			                                   + 1/3*old : (l'=2) & (ip'=1) & (x'=1) 
+			                                   + 1/3*old : (l'=2) & (ip'=1) & (x'=2) 
+			                                   + 1/3*new : (l'=2) & (ip'=2) & (x'=0) 
+			                                   + 1/3*new : (l'=2) & (ip'=2) & (x'=1) 
+			                                   + 1/3*new : (l'=2) & (ip'=2) & (x'=2);
+	
+	// WAITSP 
+	// let time pass
+	[time]  l=2 & x<2 -> (x'=min(x+1,2));
+	// send probe
+	[send] l=2 & x=2  & probes<K -> (x'=0) & (probes'=probes+1);
+	// sent K probes and waited 2 seconds
+	[] l=2 & x=2 & probes=K -> (l'=3) & (probes'=0) & (coll'=0) & (x'=0);
+	// get message and ip does not match: ignore
+	[rec] l=2 & ip_mess!=ip -> (l'=l);
+	// get a message with matching ip: reconfigure
+	[rec] l=2 & ip_mess=ip -> (l'=0) & (coll'=min(coll+1,MAXCOLL)) & (x'=0) & (probes'=0);
+	
+	// WAITSG (sends two gratuitious arp probes)
+	// time passage
+	[time] l=3 & mess=0 & defend=0 & x<CONSEC -> (x'=min(x+1,TIME_MAX_X)); 
+	[time] l=3 & mess=0 & defend=1 & x<CONSEC -> (x'=min(x+1,TIME_MAX_X)) & (y'=min(y+1,DEFEND));
+	
+	// receive message and same ip: defend
+	[rec] l=3 & mess=0 & ip_mess=ip & (defend=0 | y>=DEFEND) -> (defend'=1) & (mess'=1) & (y'=0);
+	// receive message and same ip: defer
+	[rec] l=3 & mess=0 & ip_mess=ip & (defend=0 | y<DEFEND) -> (l'=0) & (probes'=0) & (defend'=0) & (x'=0) & (y'=0);
+	// receive message and different ip
+	[rec] l=3 & mess=0 & ip_mess!=ip -> (l'=l);
+	
+		
+	// send probe reply or message for defence
+	[send] l=3 & mess=1 -> (mess'=0);
+	// send first gratuitous arp message
+	[send] l=3 & mess=0 & x=CONSEC & probes<1 -> (x'=0) & (probes'=probes+1);
+	// send second gratuitous arp message (move to use)
+	[send] l=3 & mess=0 & x=CONSEC & probes=1 -> (l'=4) & (x'=0) & (y'=0) & (probes'=0);
+	
+	// USE (only interested in reaching this state so do not need to add anything here)
+	[] l=4 -> 1 : true;
+	
+endmodule

examples/pmdp/zeroconf/zeroconf3.pm

@@ -0,0 +1,258 @@
+// IPv4: PTA model with digitial clocks
+// one concrete host attempting to choose an ip address 
+// when a number of (abstract) hosts have already got ip addresses
+// gxn/dxp/jzs 02/05/03
+
+// model is an mdp
+mdp
+
+// reset or noreset model
+const bool reset=false;
+
+//-------------------------------------------------------------
+
+// we suppose that
+// - the abstract hosts have already picked their addresses 
+//   and always defend their addresses
+// - the concrete host never picks the same ip address twice 
+//   (this can happen only with a verys small probability)
+
+// under these assumptions we do not need message types because:
+// 1) since messages to the concrete host will never be a probe, 
+//    this host will react to all messages in the same way
+// 2) since the abstract hosts always defend their addresses, 
+//    all messages from the host will get an arp reply if the ip matches
+
+// following from the above assumptions we require only three abstract IP addresses
+// (0,1 and 2) which correspond to the following sets of IP addresses:
+
+// 0 - the IP addresses of the abstract hosts which the concrete host 
+//     previously tried to configure
+// 1 - an IP address of an abstract host which the concrete host is 
+//     currently trying to configure
+// 2 - a fresh IP address which the concrete host is currently trying to configure
+
+// if the host picks an address that is being used it may end up picking another ip address
+// in which case there may still be messages corresponding to the old ip address
+// to be sent both from and to the host which the host should now disregard
+// (since it will never pick the same ip address)
+
+// to deal with this situation: when a host picks a new ip address we reconfigure the 
+// messages that are still be be sent or are being sent by changing the ip address to 0 
+// (an old ip address of the host)
+
+// all the messages from the abstract hosts for the 'old' address (in fact the
+// set of old addresses since it may have started again more than once)  
+// can arrive in any order since they are equivalent to the host - it ignores then all
+
+// also the messages for the old and new address will come from different hosts
+// (the ones with that ip address) which we model by allowing them to arrive in any order
+// i.e. not neccessarily in the order they where sent
+
+//-------------------------------------------------------------
+
+
+//-------------------------------------------------------------
+// VARIABLES
+//const int N; // number of abstract hosts
+const int K=3; // number of probes to send
+const double loss; // probability of message loss
+
+// PROBABILITIES
+const double old; //=N/65024; // probability pick an ip address being used
+const double new = (1-old); // probability pick a new ip address
+
+// TIMING CONSTANTS
+const int CONSEC = 2;  // time interval between sending consecutive probles 
+const int TRANSTIME = 1; // upper bound on transmission time delay
+const int LONGWAIT = 60; // minimum time delay after a high number of address collisions
+const int DEFEND = 10;
+
+const int TIME_MAX_X = 60; // max value of clock x
+const int TIME_MAX_Y = 10; // max value of clock y
+const int TIME_MAX_Z = 1;  // max value of clock z
+
+// OTHER CONSTANTS
+const int MAXCOLL = 10;  // maximum number of collisions before long wait
+// size of buffers for other hosts
+const int B0 = 20;  // buffer size for one abstract host
+const int B1 = 8;  // buffer sizes for all abstract hosts
+
+//-------------------------------------------------------------
+// ENVIRONMENT - models: medium, output buffer of concrete host and all other hosts
+module environment
+	
+	// buffer of concrete host
+	b_ip7 : [0..2]; // ip address of message in buffer position 8
+	b_ip6 : [0..2]; // ip address of message in buffer position 7
+	b_ip5 : [0..2]; // ip address of message in buffer position 6
+	b_ip4 : [0..2]; // ip address of message in buffer position 5
+	b_ip3 : [0..2]; // ip address of message in buffer position 4
+	b_ip2 : [0..2]; // ip address of message in buffer position 3
+	b_ip1 : [0..2]; // ip address of message in buffer position 2
+	b_ip0 : [0..2]; // ip address of message in buffer position 1
+	n : [0..8]; // number of places in the buffer used (from host)
+	
+	// messages to be sent from abstract hosts to concrete host
+	n0  : [0..B0]; // number of messages which do not have the host's current ip address
+	n1  : [0..B1]; // number of messages which have the host's current ip address
+	
+	b : [0..2]; // local state
+	// 0 - idle
+	// 1 - sending message from concrete host 
+	// 2 - sending message from abstract host
+	
+	z : [0..1]; // clock of environment (needed for the time to send a message)
+	
+	ip_mess : [0..2]; // ip in the current message being sent
+	// 0 - different from concrete host
+	// 1 - same as the concrete host and in use
+	// 2 - same as the concrete host and not in use
+	
+	// RESET/RECONFIG: when host is about to choose new ip address
+	// suppose that the host cannot choose the same ip address
+	// (since happens with very small probability). 
+	// Therefore all messages will have a different ip address, 
+	// i.e. all n1 messages become n0 ones.
+	// Note this include any message currently being sent (ip is set to zero 0)
+	[reset] true -> (n1'=0) & (n0'=min(B0,n0+n1)) // abstract buffers 
+	               & (ip_mess'=0) // message being set
+	               & (n'=(reset)?0:n) // concrete buffer (remove this update to get NO_RESET model)
+	               & (b_ip7'=0) 
+	               & (b_ip6'=0) 
+	               & (b_ip5'=0) 
+	               & (b_ip4'=0) 
+	               & (b_ip3'=0) 
+	               & (b_ip2'=0) 
+	               & (b_ip1'=0) 
+	               & (b_ip0'=0);
+	// note: prevent anything else from happening when reconfiguration needs to take place
+	
+	// time passage (only if no messages to send or sending a message)
+	[time] l>0 & b=0 & n=0 & n0=0 & n1=0 -> (b'=b); // cannot send a message
+	[time] l>0 & b>0 & z<1 -> (z'=min(z+1,TIME_MAX_Z)); // sending a message
+	
+	// get messages to be sent (so message has same ip address as host)
+	[send] l>0 & n=0 -> (b_ip0'=ip) & (n'=n+1);
+	[send] l>0 & n=1 -> (b_ip1'=ip) & (n'=n+1);
+	[send] l>0 & n=2 -> (b_ip2'=ip) & (n'=n+1);
+	[send] l>0 & n=3 -> (b_ip3'=ip) & (n'=n+1);
+	[send] l>0 & n=4 -> (b_ip4'=ip) & (n'=n+1);
+	[send] l>0 & n=5 -> (b_ip5'=ip) & (n'=n+1);
+	[send] l>0 & n=6 -> (b_ip6'=ip) & (n'=n+1);
+	[send] l>0 & n=7 -> (b_ip7'=ip) & (n'=n+1);
+	[send] l>0 & n=8 -> (n'=n); // buffer full so lose message
+	
+	// start sending message from host
+	[] l>0 & b=0 & n>0 -> (1-loss) : (b'=1) & (ip_mess'=b_ip0) 
+	                                & (n'=n-1)
+	                                & (b_ip7'=0) 
+	                                & (b_ip6'=b_ip7) 
+	                                & (b_ip5'=b_ip6) 
+	                                & (b_ip4'=b_ip5) 
+	                                & (b_ip3'=b_ip4) 
+	                                & (b_ip2'=b_ip3) 
+	                                & (b_ip1'=b_ip2) 
+	                                & (b_ip0'=b_ip1) // send message
+	                         + loss : (n'=n-1)
+	                                & (b_ip7'=0) 
+	                                & (b_ip6'=b_ip7) 
+	                                & (b_ip5'=b_ip6) 
+	                                & (b_ip4'=b_ip5) 
+	                                & (b_ip3'=b_ip4) 
+	                                & (b_ip2'=b_ip3) 
+	                                & (b_ip1'=b_ip2) 
+	                                & (b_ip0'=b_ip1); // lose message
+	
+	// start sending message to host
+	[] l>0 & b=0 & n0>0 -> (1-loss) : (b'=2) & (ip_mess'=0) & (n0'=n0-1) + loss : (n0'=n0-1); // different ip
+	[] l>0 & b=0 & n1>0 -> (1-loss) : (b'=2) & (ip_mess'=1) & (n1'=n1-1) + loss : (n1'=n1-1); // same ip
+	
+	// finish sending message from host
+	[] l>0 & b=1 & ip_mess=0 -> (b'=0) & (z'=0) & (n0'=min(n0+1,B0)) & (ip_mess'=0);
+	[] l>0 & b=1 & ip_mess=1 -> (b'=0) & (z'=0) & (n1'=min(n1+1,B1)) & (ip_mess'=0);
+	[] l>0 & b=1 & ip_mess=2 -> (b'=0) & (z'=0) & (ip_mess'=0);
+	
+	// finish sending message to host
+	[rec] l>0 & b=2 -> (b'=0) & (z'=0) & (ip_mess'=0);
+	
+endmodule
+
+//-------------------------------------------------------------
+// CONCRETE HOST
+module host0
+	
+	x : [0..TIME_MAX_X]; // first clock of the host
+	y : [0..TIME_MAX_Y]; // second clock of the host
+	
+	coll : [0..MAXCOLL]; // number of address collisions
+	probes : [0..K]; // counter (number of probes sent)
+	mess : [0..1]; // need to send a message or not
+	defend : [0..1]; // defend (if =1, try to defend IP address)
+	
+	ip : [1..2]; // ip address (1 - in use & 2 - fresh)
+	
+	l : [0..4] init 1; // location
+	// 0 : RECONFIGURE 
+	// 1 : RANDOM
+	// 2 : WAITSP
+	// 3 : WAITSG 
+	// 4 : USE
+	
+	// RECONFIGURE
+	[reset] l=0 -> (l'=1);
+	
+	// RANDOM (choose IP address)
+	[rec] (l=1) -> 1: true; // get message (ignore since have no ip address)
+	// small number of collisions (choose straight away)
+	[] l=1 & coll<MAXCOLL -> 1/3*old : (l'=2) & (ip'=1) & (x'=0) 
+		                     + 1/3*old : (l'=2) & (ip'=1) & (x'=1) 
+		                     + 1/3*old : (l'=2) & (ip'=1) & (x'=2) 
+		                     + 1/3*new : (l'=2) & (ip'=2) & (x'=0) 
+		                     + 1/3*new : (l'=2) & (ip'=2) & (x'=1) 
+		                     + 1/3*new : (l'=2) & (ip'=2) & (x'=2); 
+	// large number of collisions: (wait for LONGWAIT)
+	[time] l=1 & coll=MAXCOLL & x<LONGWAIT -> (x'=min(x+1,TIME_MAX_X));
+	[]     l=1 & coll=MAXCOLL & x=LONGWAIT -> 1/3*old : (l'=2) & (ip'=1) & (x'=0) 
+			                                   + 1/3*old : (l'=2) & (ip'=1) & (x'=1) 
+			                                   + 1/3*old : (l'=2) & (ip'=1) & (x'=2) 
+			                                   + 1/3*new : (l'=2) & (ip'=2) & (x'=0) 
+			                                   + 1/3*new : (l'=2) & (ip'=2) & (x'=1) 
+			                                   + 1/3*new : (l'=2) & (ip'=2) & (x'=2);
+	
+	// WAITSP 
+	// let time pass
+	[time]  l=2 & x<2 -> (x'=min(x+1,2));
+	// send probe
+	[send] l=2 & x=2  & probes<K -> (x'=0) & (probes'=probes+1);
+	// sent K probes and waited 2 seconds
+	[] l=2 & x=2 & probes=K -> (l'=3) & (probes'=0) & (coll'=0) & (x'=0);
+	// get message and ip does not match: ignore
+	[rec] l=2 & ip_mess!=ip -> (l'=l);
+	// get a message with matching ip: reconfigure
+	[rec] l=2 & ip_mess=ip -> (l'=0) & (coll'=min(coll+1,MAXCOLL)) & (x'=0) & (probes'=0);
+	
+	// WAITSG (sends two gratuitious arp probes)
+	// time passage
+	[time] l=3 & mess=0 & defend=0 & x<CONSEC -> (x'=min(x+1,TIME_MAX_X)); 
+	[time] l=3 & mess=0 & defend=1 & x<CONSEC -> (x'=min(x+1,TIME_MAX_X)) & (y'=min(y+1,DEFEND));
+	
+	// receive message and same ip: defend
+	[rec] l=3 & mess=0 & ip_mess=ip & (defend=0 | y>=DEFEND) -> (defend'=1) & (mess'=1) & (y'=0);
+	// receive message and same ip: defer
+	[rec] l=3 & mess=0 & ip_mess=ip & (defend=0 | y<DEFEND) -> (l'=0) & (probes'=0) & (defend'=0) & (x'=0) & (y'=0);
+	// receive message and different ip
+	[rec] l=3 & mess=0 & ip_mess!=ip -> (l'=l);
+	
+		
+	// send probe reply or message for defence
+	[send] l=3 & mess=1 -> (mess'=0);
+	// send first gratuitous arp message
+	[send] l=3 & mess=0 & x=CONSEC & probes<1 -> (x'=0) & (probes'=probes+1);
+	// send second gratuitous arp message (move to use)
+	[send] l=3 & mess=0 & x=CONSEC & probes=1 -> (l'=4) & (x'=0) & (y'=0) & (probes'=0);
+	
+	// USE (only interested in reaching this state so do not need to add anything here)
+	[] l=4 -> 1 : true;
+	
+endmodule

examples/pmdp/zeroconf/zeroconf5.pm

@@ -0,0 +1,258 @@
+// IPv4: PTA model with digitial clocks
+// one concrete host attempting to choose an ip address 
+// when a number of (abstract) hosts have already got ip addresses
+// gxn/dxp/jzs 02/05/03
+
+// model is an mdp
+mdp
+
+// reset or noreset model
+const bool reset=false;
+
+//-------------------------------------------------------------
+
+// we suppose that
+// - the abstract hosts have already picked their addresses 
+//   and always defend their addresses
+// - the concrete host never picks the same ip address twice 
+//   (this can happen only with a verys small probability)
+
+// under these assumptions we do not need message types because:
+// 1) since messages to the concrete host will never be a probe, 
+//    this host will react to all messages in the same way
+// 2) since the abstract hosts always defend their addresses, 
+//    all messages from the host will get an arp reply if the ip matches
+
+// following from the above assumptions we require only three abstract IP addresses
+// (0,1 and 2) which correspond to the following sets of IP addresses:
+
+// 0 - the IP addresses of the abstract hosts which the concrete host 
+//     previously tried to configure
+// 1 - an IP address of an abstract host which the concrete host is 
+//     currently trying to configure
+// 2 - a fresh IP address which the concrete host is currently trying to configure
+
+// if the host picks an address that is being used it may end up picking another ip address
+// in which case there may still be messages corresponding to the old ip address
+// to be sent both from and to the host which the host should now disregard
+// (since it will never pick the same ip address)
+
+// to deal with this situation: when a host picks a new ip address we reconfigure the 
+// messages that are still be be sent or are being sent by changing the ip address to 0 
+// (an old ip address of the host)
+
+// all the messages from the abstract hosts for the 'old' address (in fact the
+// set of old addresses since it may have started again more than once)  
+// can arrive in any order since they are equivalent to the host - it ignores then all
+
+// also the messages for the old and new address will come from different hosts
+// (the ones with that ip address) which we model by allowing them to arrive in any order
+// i.e. not neccessarily in the order they where sent
+
+//-------------------------------------------------------------
+
+
+//-------------------------------------------------------------
+// VARIABLES
+//const int N; // number of abstract hosts
+const int K=5; // number of probes to send
+const double loss; // probability of message loss
+
+// PROBABILITIES
+const double old; //=N/65024; // probability pick an ip address being used
+const double new = (1-old); // probability pick a new ip address
+
+// TIMING CONSTANTS
+const int CONSEC = 2;  // time interval between sending consecutive probles 
+const int TRANSTIME = 1; // upper bound on transmission time delay
+const int LONGWAIT = 60; // minimum time delay after a high number of address collisions
+const int DEFEND = 10;
+
+const int TIME_MAX_X = 60; // max value of clock x
+const int TIME_MAX_Y = 10; // max value of clock y
+const int TIME_MAX_Z = 1;  // max value of clock z
+
+// OTHER CONSTANTS
+const int MAXCOLL = 10;  // maximum number of collisions before long wait
+// size of buffers for other hosts
+const int B0 = 20;  // buffer size for one abstract host
+const int B1 = 8;  // buffer sizes for all abstract hosts
+
+//-------------------------------------------------------------
+// ENVIRONMENT - models: medium, output buffer of concrete host and all other hosts
+module environment
+	
+	// buffer of concrete host
+	b_ip7 : [0..2]; // ip address of message in buffer position 8
+	b_ip6 : [0..2]; // ip address of message in buffer position 7
+	b_ip5 : [0..2]; // ip address of message in buffer position 6
+	b_ip4 : [0..2]; // ip address of message in buffer position 5
+	b_ip3 : [0..2]; // ip address of message in buffer position 4
+	b_ip2 : [0..2]; // ip address of message in buffer position 3
+	b_ip1 : [0..2]; // ip address of message in buffer position 2
+	b_ip0 : [0..2]; // ip address of message in buffer position 1
+	n : [0..8]; // number of places in the buffer used (from host)
+	
+	// messages to be sent from abstract hosts to concrete host
+	n0  : [0..B0]; // number of messages which do not have the host's current ip address
+	n1  : [0..B1]; // number of messages which have the host's current ip address
+	
+	b : [0..2]; // local state
+	// 0 - idle
+	// 1 - sending message from concrete host 
+	// 2 - sending message from abstract host
+	
+	z : [0..1]; // clock of environment (needed for the time to send a message)
+	
+	ip_mess : [0..2]; // ip in the current message being sent
+	// 0 - different from concrete host
+	// 1 - same as the concrete host and in use
+	// 2 - same as the concrete host and not in use
+	
+	// RESET/RECONFIG: when host is about to choose new ip address
+	// suppose that the host cannot choose the same ip address
+	// (since happens with very small probability). 
+	// Therefore all messages will have a different ip address, 
+	// i.e. all n1 messages become n0 ones.
+	// Note this include any message currently being sent (ip is set to zero 0)
+	[reset] true -> (n1'=0) & (n0'=min(B0,n0+n1)) // abstract buffers 
+	               & (ip_mess'=0) // message being set
+	               & (n'=(reset)?0:n) // concrete buffer (remove this update to get NO_RESET model)
+	               & (b_ip7'=0) 
+	               & (b_ip6'=0) 
+	               & (b_ip5'=0) 
+	               & (b_ip4'=0) 
+	               & (b_ip3'=0) 
+	               & (b_ip2'=0) 
+	               & (b_ip1'=0) 
+	               & (b_ip0'=0);
+	// note: prevent anything else from happening when reconfiguration needs to take place
+	
+	// time passage (only if no messages to send or sending a message)
+	[time] l>0 & b=0 & n=0 & n0=0 & n1=0 -> (b'=b); // cannot send a message
+	[time] l>0 & b>0 & z<1 -> (z'=min(z+1,TIME_MAX_Z)); // sending a message
+	
+	// get messages to be sent (so message has same ip address as host)
+	[send] l>0 & n=0 -> (b_ip0'=ip) & (n'=n+1);
+	[send] l>0 & n=1 -> (b_ip1'=ip) & (n'=n+1);
+	[send] l>0 & n=2 -> (b_ip2'=ip) & (n'=n+1);
+	[send] l>0 & n=3 -> (b_ip3'=ip) & (n'=n+1);
+	[send] l>0 & n=4 -> (b_ip4'=ip) & (n'=n+1);
+	[send] l>0 & n=5 -> (b_ip5'=ip) & (n'=n+1);
+	[send] l>0 & n=6 -> (b_ip6'=ip) & (n'=n+1);
+	[send] l>0 & n=7 -> (b_ip7'=ip) & (n'=n+1);
+	[send] l>0 & n=8 -> (n'=n); // buffer full so lose message
+	
+	// start sending message from host
+	[] l>0 & b=0 & n>0 -> (1-loss) : (b'=1) & (ip_mess'=b_ip0) 
+	                                & (n'=n-1)
+	                                & (b_ip7'=0) 
+	                                & (b_ip6'=b_ip7) 
+	                                & (b_ip5'=b_ip6) 
+	                                & (b_ip4'=b_ip5) 
+	                                & (b_ip3'=b_ip4) 
+	                                & (b_ip2'=b_ip3) 
+	                                & (b_ip1'=b_ip2) 
+	                                & (b_ip0'=b_ip1) // send message
+	                         + loss : (n'=n-1)
+	                                & (b_ip7'=0) 
+	                                & (b_ip6'=b_ip7) 
+	                                & (b_ip5'=b_ip6) 
+	                                & (b_ip4'=b_ip5) 
+	                                & (b_ip3'=b_ip4) 
+	                                & (b_ip2'=b_ip3) 
+	                                & (b_ip1'=b_ip2) 
+	                                & (b_ip0'=b_ip1); // lose message
+	
+	// start sending message to host
+	[] l>0 & b=0 & n0>0 -> (1-loss) : (b'=2) & (ip_mess'=0) & (n0'=n0-1) + loss : (n0'=n0-1); // different ip
+	[] l>0 & b=0 & n1>0 -> (1-loss) : (b'=2) & (ip_mess'=1) & (n1'=n1-1) + loss : (n1'=n1-1); // same ip
+	
+	// finish sending message from host
+	[] l>0 & b=1 & ip_mess=0 -> (b'=0) & (z'=0) & (n0'=min(n0+1,B0)) & (ip_mess'=0);
+	[] l>0 & b=1 & ip_mess=1 -> (b'=0) & (z'=0) & (n1'=min(n1+1,B1)) & (ip_mess'=0);
+	[] l>0 & b=1 & ip_mess=2 -> (b'=0) & (z'=0) & (ip_mess'=0);
+	
+	// finish sending message to host
+	[rec] l>0 & b=2 -> (b'=0) & (z'=0) & (ip_mess'=0);
+	
+endmodule
+
+//-------------------------------------------------------------
+// CONCRETE HOST
+module host0
+	
+	x : [0..TIME_MAX_X]; // first clock of the host
+	y : [0..TIME_MAX_Y]; // second clock of the host
+	
+	coll : [0..MAXCOLL]; // number of address collisions
+	probes : [0..K]; // counter (number of probes sent)
+	mess : [0..1]; // need to send a message or not
+	defend : [0..1]; // defend (if =1, try to defend IP address)
+	
+	ip : [1..2]; // ip address (1 - in use & 2 - fresh)
+	
+	l : [0..4] init 1; // location
+	// 0 : RECONFIGURE 
+	// 1 : RANDOM
+	// 2 : WAITSP
+	// 3 : WAITSG 
+	// 4 : USE
+	
+	// RECONFIGURE
+	[reset] l=0 -> (l'=1);
+	
+	// RANDOM (choose IP address)
+	[rec] (l=1) -> 1: true; // get message (ignore since have no ip address)
+	// small number of collisions (choose straight away)
+	[] l=1 & coll<MAXCOLL -> 1/3*old : (l'=2) & (ip'=1) & (x'=0) 
+		                     + 1/3*old : (l'=2) & (ip'=1) & (x'=1) 
+		                     + 1/3*old : (l'=2) & (ip'=1) & (x'=2) 
+		                     + 1/3*new : (l'=2) & (ip'=2) & (x'=0) 
+		                     + 1/3*new : (l'=2) & (ip'=2) & (x'=1) 
+		                     + 1/3*new : (l'=2) & (ip'=2) & (x'=2); 
+	// large number of collisions: (wait for LONGWAIT)
+	[time] l=1 & coll=MAXCOLL & x<LONGWAIT -> (x'=min(x+1,TIME_MAX_X));
+	[]     l=1 & coll=MAXCOLL & x=LONGWAIT -> 1/3*old : (l'=2) & (ip'=1) & (x'=0) 
+			                                   + 1/3*old : (l'=2) & (ip'=1) & (x'=1) 
+			                                   + 1/3*old : (l'=2) & (ip'=1) & (x'=2) 
+			                                   + 1/3*new : (l'=2) & (ip'=2) & (x'=0) 
+			                                   + 1/3*new : (l'=2) & (ip'=2) & (x'=1) 
+			                                   + 1/3*new : (l'=2) & (ip'=2) & (x'=2);
+	
+	// WAITSP 
+	// let time pass
+	[time]  l=2 & x<2 -> (x'=min(x+1,2));
+	// send probe
+	[send] l=2 & x=2  & probes<K -> (x'=0) & (probes'=probes+1);
+	// sent K probes and waited 2 seconds
+	[] l=2 & x=2 & probes=K -> (l'=3) & (probes'=0) & (coll'=0) & (x'=0);
+	// get message and ip does not match: ignore
+	[rec] l=2 & ip_mess!=ip -> (l'=l);
+	// get a message with matching ip: reconfigure
+	[rec] l=2 & ip_mess=ip -> (l'=0) & (coll'=min(coll+1,MAXCOLL)) & (x'=0) & (probes'=0);
+	
+	// WAITSG (sends two gratuitious arp probes)
+	// time passage
+	[time] l=3 & mess=0 & defend=0 & x<CONSEC -> (x'=min(x+1,TIME_MAX_X)); 
+	[time] l=3 & mess=0 & defend=1 & x<CONSEC -> (x'=min(x+1,TIME_MAX_X)) & (y'=min(y+1,DEFEND));
+	
+	// receive message and same ip: defend
+	[rec] l=3 & mess=0 & ip_mess=ip & (defend=0 | y>=DEFEND) -> (defend'=1) & (mess'=1) & (y'=0);
+	// receive message and same ip: defer
+	[rec] l=3 & mess=0 & ip_mess=ip & (defend=0 | y<DEFEND) -> (l'=0) & (probes'=0) & (defend'=0) & (x'=0) & (y'=0);
+	// receive message and different ip
+	[rec] l=3 & mess=0 & ip_mess!=ip -> (l'=l);
+	
+		
+	// send probe reply or message for defence
+	[send] l=3 & mess=1 -> (mess'=0);
+	// send first gratuitous arp message
+	[send] l=3 & mess=0 & x=CONSEC & probes<1 -> (x'=0) & (probes'=probes+1);
+	// send second gratuitous arp message (move to use)
+	[send] l=3 & mess=0 & x=CONSEC & probes=1 -> (l'=4) & (x'=0) & (y'=0) & (probes'=0);
+	
+	// USE (only interested in reaching this state so do not need to add anything here)
+	[] l=4 -> 1 : true;
+	
+endmodule

examples/pmdp/zeroconf/zeroconf7.pm

@@ -0,0 +1,258 @@
+// IPv4: PTA model with digitial clocks
+// one concrete host attempting to choose an ip address 
+// when a number of (abstract) hosts have already got ip addresses
+// gxn/dxp/jzs 02/05/03
+
+// model is an mdp
+mdp
+
+// reset or noreset model
+const bool reset=false;
+
+//-------------------------------------------------------------
+
+// we suppose that
+// - the abstract hosts have already picked their addresses 
+//   and always defend their addresses
+// - the concrete host never picks the same ip address twice 
+//   (this can happen only with a verys small probability)
+
+// under these assumptions we do not need message types because:
+// 1) since messages to the concrete host will never be a probe, 
+//    this host will react to all messages in the same way
+// 2) since the abstract hosts always defend their addresses, 
+//    all messages from the host will get an arp reply if the ip matches
+
+// following from the above assumptions we require only three abstract IP addresses
+// (0,1 and 2) which correspond to the following sets of IP addresses:
+
+// 0 - the IP addresses of the abstract hosts which the concrete host 
+//     previously tried to configure
+// 1 - an IP address of an abstract host which the concrete host is 
+//     currently trying to configure
+// 2 - a fresh IP address which the concrete host is currently trying to configure
+
+// if the host picks an address that is being used it may end up picking another ip address
+// in which case there may still be messages corresponding to the old ip address
+// to be sent both from and to the host which the host should now disregard
+// (since it will never pick the same ip address)
+
+// to deal with this situation: when a host picks a new ip address we reconfigure the 
+// messages that are still be be sent or are being sent by changing the ip address to 0 
+// (an old ip address of the host)
+
+// all the messages from the abstract hosts for the 'old' address (in fact the
+// set of old addresses since it may have started again more than once)  
+// can arrive in any order since they are equivalent to the host - it ignores then all
+
+// also the messages for the old and new address will come from different hosts
+// (the ones with that ip address) which we model by allowing them to arrive in any order
+// i.e. not neccessarily in the order they where sent
+
+//-------------------------------------------------------------
+
+
+//-------------------------------------------------------------
+// VARIABLES
+//const int N; // number of abstract hosts
+const int K=7; // number of probes to send
+const double loss; // probability of message loss
+
+// PROBABILITIES
+const double old; //=N/65024; // probability pick an ip address being used
+const double new = (1-old); // probability pick a new ip address
+
+// TIMING CONSTANTS
+const int CONSEC = 2;  // time interval between sending consecutive probles 
+const int TRANSTIME = 1; // upper bound on transmission time delay
+const int LONGWAIT = 60; // minimum time delay after a high number of address collisions
+const int DEFEND = 10;
+
+const int TIME_MAX_X = 60; // max value of clock x
+const int TIME_MAX_Y = 10; // max value of clock y
+const int TIME_MAX_Z = 1;  // max value of clock z
+
+// OTHER CONSTANTS
+const int MAXCOLL = 10;  // maximum number of collisions before long wait
+// size of buffers for other hosts
+const int B0 = 20;  // buffer size for one abstract host
+const int B1 = 8;  // buffer sizes for all abstract hosts
+
+//-------------------------------------------------------------
+// ENVIRONMENT - models: medium, output buffer of concrete host and all other hosts
+module environment
+	
+	// buffer of concrete host
+	b_ip7 : [0..2]; // ip address of message in buffer position 8
+	b_ip6 : [0..2]; // ip address of message in buffer position 7
+	b_ip5 : [0..2]; // ip address of message in buffer position 6
+	b_ip4 : [0..2]; // ip address of message in buffer position 5
+	b_ip3 : [0..2]; // ip address of message in buffer position 4
+	b_ip2 : [0..2]; // ip address of message in buffer position 3
+	b_ip1 : [0..2]; // ip address of message in buffer position 2
+	b_ip0 : [0..2]; // ip address of message in buffer position 1
+	n : [0..8]; // number of places in the buffer used (from host)
+	
+	// messages to be sent from abstract hosts to concrete host
+	n0  : [0..B0]; // number of messages which do not have the host's current ip address
+	n1  : [0..B1]; // number of messages which have the host's current ip address
+	
+	b : [0..2]; // local state
+	// 0 - idle
+	// 1 - sending message from concrete host 
+	// 2 - sending message from abstract host
+	
+	z : [0..1]; // clock of environment (needed for the time to send a message)
+	
+	ip_mess : [0..2]; // ip in the current message being sent
+	// 0 - different from concrete host
+	// 1 - same as the concrete host and in use
+	// 2 - same as the concrete host and not in use
+	
+	// RESET/RECONFIG: when host is about to choose new ip address
+	// suppose that the host cannot choose the same ip address
+	// (since happens with very small probability). 
+	// Therefore all messages will have a different ip address, 
+	// i.e. all n1 messages become n0 ones.
+	// Note this include any message currently being sent (ip is set to zero 0)
+	[reset] true -> (n1'=0) & (n0'=min(B0,n0+n1)) // abstract buffers 
+	               & (ip_mess'=0) // message being set
+	               & (n'=(reset)?0:n) // concrete buffer (remove this update to get NO_RESET model)
+	               & (b_ip7'=0) 
+	               & (b_ip6'=0) 
+	               & (b_ip5'=0) 
+	               & (b_ip4'=0) 
+	               & (b_ip3'=0) 
+	               & (b_ip2'=0) 
+	               & (b_ip1'=0) 
+	               & (b_ip0'=0);
+	// note: prevent anything else from happening when reconfiguration needs to take place
+	
+	// time passage (only if no messages to send or sending a message)
+	[time] l>0 & b=0 & n=0 & n0=0 & n1=0 -> (b'=b); // cannot send a message
+	[time] l>0 & b>0 & z<1 -> (z'=min(z+1,TIME_MAX_Z)); // sending a message
+	
+	// get messages to be sent (so message has same ip address as host)
+	[send] l>0 & n=0 -> (b_ip0'=ip) & (n'=n+1);
+	[send] l>0 & n=1 -> (b_ip1'=ip) & (n'=n+1);
+	[send] l>0 & n=2 -> (b_ip2'=ip) & (n'=n+1);
+	[send] l>0 & n=3 -> (b_ip3'=ip) & (n'=n+1);
+	[send] l>0 & n=4 -> (b_ip4'=ip) & (n'=n+1);
+	[send] l>0 & n=5 -> (b_ip5'=ip) & (n'=n+1);
+	[send] l>0 & n=6 -> (b_ip6'=ip) & (n'=n+1);
+	[send] l>0 & n=7 -> (b_ip7'=ip) & (n'=n+1);
+	[send] l>0 & n=8 -> (n'=n); // buffer full so lose message
+	
+	// start sending message from host
+	[] l>0 & b=0 & n>0 -> (1-loss) : (b'=1) & (ip_mess'=b_ip0) 
+	                                & (n'=n-1)
+	                                & (b_ip7'=0) 
+	                                & (b_ip6'=b_ip7) 
+	                                & (b_ip5'=b_ip6) 
+	                                & (b_ip4'=b_ip5) 
+	                                & (b_ip3'=b_ip4) 
+	                                & (b_ip2'=b_ip3) 
+	                                & (b_ip1'=b_ip2) 
+	                                & (b_ip0'=b_ip1) // send message
+	                         + loss : (n'=n-1)
+	                                & (b_ip7'=0) 
+	                                & (b_ip6'=b_ip7) 
+	                                & (b_ip5'=b_ip6) 
+	                                & (b_ip4'=b_ip5) 
+	                                & (b_ip3'=b_ip4) 
+	                                & (b_ip2'=b_ip3) 
+	                                & (b_ip1'=b_ip2) 
+	                                & (b_ip0'=b_ip1); // lose message
+	
+	// start sending message to host
+	[] l>0 & b=0 & n0>0 -> (1-loss) : (b'=2) & (ip_mess'=0) & (n0'=n0-1) + loss : (n0'=n0-1); // different ip
+	[] l>0 & b=0 & n1>0 -> (1-loss) : (b'=2) & (ip_mess'=1) & (n1'=n1-1) + loss : (n1'=n1-1); // same ip
+	
+	// finish sending message from host
+	[] l>0 & b=1 & ip_mess=0 -> (b'=0) & (z'=0) & (n0'=min(n0+1,B0)) & (ip_mess'=0);
+	[] l>0 & b=1 & ip_mess=1 -> (b'=0) & (z'=0) & (n1'=min(n1+1,B1)) & (ip_mess'=0);
+	[] l>0 & b=1 & ip_mess=2 -> (b'=0) & (z'=0) & (ip_mess'=0);
+	
+	// finish sending message to host
+	[rec] l>0 & b=2 -> (b'=0) & (z'=0) & (ip_mess'=0);
+	
+endmodule
+
+//-------------------------------------------------------------
+// CONCRETE HOST
+module host0
+	
+	x : [0..TIME_MAX_X]; // first clock of the host
+	y : [0..TIME_MAX_Y]; // second clock of the host
+	
+	coll : [0..MAXCOLL]; // number of address collisions
+	probes : [0..K]; // counter (number of probes sent)
+	mess : [0..1]; // need to send a message or not
+	defend : [0..1]; // defend (if =1, try to defend IP address)
+	
+	ip : [1..2]; // ip address (1 - in use & 2 - fresh)
+	
+	l : [0..4] init 1; // location
+	// 0 : RECONFIGURE 
+	// 1 : RANDOM
+	// 2 : WAITSP
+	// 3 : WAITSG 
+	// 4 : USE
+	
+	// RECONFIGURE
+	[reset] l=0 -> (l'=1);
+	
+	// RANDOM (choose IP address)
+	[rec] (l=1) -> 1: true; // get message (ignore since have no ip address)
+	// small number of collisions (choose straight away)
+	[] l=1 & coll<MAXCOLL -> 1/3*old : (l'=2) & (ip'=1) & (x'=0) 
+		                     + 1/3*old : (l'=2) & (ip'=1) & (x'=1) 
+		                     + 1/3*old : (l'=2) & (ip'=1) & (x'=2) 
+		                     + 1/3*new : (l'=2) & (ip'=2) & (x'=0) 
+		                     + 1/3*new : (l'=2) & (ip'=2) & (x'=1) 
+		                     + 1/3*new : (l'=2) & (ip'=2) & (x'=2); 
+	// large number of collisions: (wait for LONGWAIT)
+	[time] l=1 & coll=MAXCOLL & x<LONGWAIT -> (x'=min(x+1,TIME_MAX_X));
+	[]     l=1 & coll=MAXCOLL & x=LONGWAIT -> 1/3*old : (l'=2) & (ip'=1) & (x'=0) 
+			                                   + 1/3*old : (l'=2) & (ip'=1) & (x'=1) 
+			                                   + 1/3*old : (l'=2) & (ip'=1) & (x'=2) 
+			                                   + 1/3*new : (l'=2) & (ip'=2) & (x'=0) 
+			                                   + 1/3*new : (l'=2) & (ip'=2) & (x'=1) 
+			                                   + 1/3*new : (l'=2) & (ip'=2) & (x'=2);
+	
+	// WAITSP 
+	// let time pass
+	[time]  l=2 & x<2 -> (x'=min(x+1,2));
+	// send probe
+	[send] l=2 & x=2  & probes<K -> (x'=0) & (probes'=probes+1);
+	// sent K probes and waited 2 seconds
+	[] l=2 & x=2 & probes=K -> (l'=3) & (probes'=0) & (coll'=0) & (x'=0);
+	// get message and ip does not match: ignore
+	[rec] l=2 & ip_mess!=ip -> (l'=l);
+	// get a message with matching ip: reconfigure
+	[rec] l=2 & ip_mess=ip -> (l'=0) & (coll'=min(coll+1,MAXCOLL)) & (x'=0) & (probes'=0);
+	
+	// WAITSG (sends two gratuitious arp probes)
+	// time passage
+	[time] l=3 & mess=0 & defend=0 & x<CONSEC -> (x'=min(x+1,TIME_MAX_X)); 
+	[time] l=3 & mess=0 & defend=1 & x<CONSEC -> (x'=min(x+1,TIME_MAX_X)) & (y'=min(y+1,DEFEND));
+	
+	// receive message and same ip: defend
+	[rec] l=3 & mess=0 & ip_mess=ip & (defend=0 | y>=DEFEND) -> (defend'=1) & (mess'=1) & (y'=0);
+	// receive message and same ip: defer
+	[rec] l=3 & mess=0 & ip_mess=ip & (defend=0 | y<DEFEND) -> (l'=0) & (probes'=0) & (defend'=0) & (x'=0) & (y'=0);
+	// receive message and different ip
+	[rec] l=3 & mess=0 & ip_mess!=ip -> (l'=l);
+	
+		
+	// send probe reply or message for defence
+	[send] l=3 & mess=1 -> (mess'=0);
+	// send first gratuitous arp message
+	[send] l=3 & mess=0 & x=CONSEC & probes<1 -> (x'=0) & (probes'=probes+1);
+	// send second gratuitous arp message (move to use)
+	[send] l=3 & mess=0 & x=CONSEC & probes=1 -> (l'=4) & (x'=0) & (y'=0) & (probes'=0);
+	
+	// USE (only interested in reaching this state so do not need to add anything here)
+	[] l=4 -> 1 : true;
+	
+endmodule

examples/pmdp/zeroconf/zeroconf_regions.txt

@@ -0,0 +1,625 @@
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src/modelchecker/region/AbstractSparseRegionModelChecker.cpp

@@ -482,6 +482,7 @@ namespace storm {
                 outstream << "    " << timeSmtInMilliseconds.count() << "ms Smt solving" << std::endl;
                 outstream << "-----------------------------------------------" << std::endl;
 
+                outstream << "CSV format;" << timeOverallInMilliseconds.count() << ";" << this->numOfRegionsAllSat << ";" << this->numOfRegionsAllViolated << ";" << this->numOfRegionsExistsBoth << ";" << (this->numOfCheckedRegions-numOfSolvedRegions) << std::endl;
             }
         
         

test/functional/modelchecker/SparseDtmcRegionModelCheckerTest.cpp

@@ -78,7 +78,7 @@ TEST(SparseDtmcRegionModelCheckerTest, Brp_Prob) {
 }
 
 TEST(SparseDtmcRegionModelCheckerTest, Brp_Rew) {
-    std::string const& programFile = STORM_CPP_BASE_PATH "/examples/pdtmc/brp_rewards/brp_rewards16_2.pm";
+    std::string const& programFile = STORM_CPP_BASE_PATH "/examples/pdtmc/brp_rewards4/brp_rewards16_2.pm";
     std::string const& formulaAsString = "R>2.5 [F ((s=5) | (s=0&srep=3)) ]";
     std::string const& constantsAsString = "pL=0.9,TOAck=0.5";
     
@@ -163,7 +163,7 @@ TEST(SparseDtmcRegionModelCheckerTest, Brp_Rew) {
 
 TEST(SparseDtmcRegionModelCheckerTest, Brp_Rew_Infty) {
     
-    std::string const& programFile = STORM_CPP_BASE_PATH "/examples/pdtmc/brp_rewards/brp_rewards16_2.pm";
+    std::string const& programFile = STORM_CPP_BASE_PATH "/examples/pdtmc/brp_rewards4/brp_rewards16_2.pm";
     std::string const& formulaAsString = "R>2.5 [F (s=0&srep=3) ]";
     std::string const& constantsAsString = "";
     
@@ -200,7 +200,7 @@ TEST(SparseDtmcRegionModelCheckerTest, Brp_Rew_Infty) {
 
 TEST(SparseDtmcRegionModelCheckerTest, Brp_Rew_4Par) {
     
-    std::string const& programFile = STORM_CPP_BASE_PATH "/examples/pdtmc/brp_rewards/brp_rewards16_2.pm";
+    std::string const& programFile = STORM_CPP_BASE_PATH "/examples/pdtmc/brp_rewards4/brp_rewards16_2.pm";
     std::string const& formulaAsString = "R>2.5 [F ((s=5) | (s=0&srep=3)) ]";
     std::string const& constantsAsString = ""; //!! this model will have 4 parameters
     

test/functional/modelchecker/SparseMdpRegionModelCheckerTest.cpp

@@ -74,7 +74,7 @@ TEST(SparseMdpRegionModelCheckerTest, two_dice_Prob) {
 
 TEST(SparseMdpRegionModelCheckerTest, coin_Prob) {
     
-    std::string const& programFile = STORM_CPP_BASE_PATH "/examples/pmdp/coin/coin2_2.pm";
+    std::string const& programFile = STORM_CPP_BASE_PATH "/examples/pmdp/coin2/coin2_2.pm";
     std::string const& formulaAsString = "P>0.25 [F \"finished\"&\"all_coins_equal_1\" ]";
     std::string const& constantsAsString = ""; //e.g. pL=0.9,TOACK=0.5