The source code and dockerfile for the GSW2024 AI Lab.
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// sum of two dice as the asynchronous parallel composition of// two copies of Knuth's model of a fair die using only fair coins
mdp
module die1
// local state s1 : [0..7] init 0; // value of the dice d1 : [0..6] init 0;
[] s1=0 -> 0.5 : (s1'=1) + 0.5 : (s1'=2); [] s1=1 -> 0.5 : (s1'=3) + 0.5 : (s1'=4); [] s1=2 -> 0.5 : (s1'=5) + 0.5 : (s1'=6); [] s1=3 -> 0.5 : (s1'=1) + 0.5 : (s1'=7) & (d1'=1); [] s1=4 -> 0.5 : (s1'=7) & (d1'=2) + 0.5 : (s1'=7) & (d1'=3); [] s1=5 -> 0.5 : (s1'=7) & (d1'=4) + 0.5 : (s1'=7) & (d1'=5); [] s1=6 -> 0.5 : (s1'=2) + 0.5 : (s1'=7) & (d1'=6); [] s1=7 & s2=7 -> 1: (s1'=7);endmodule
module die2 = die1 [ s1=s2, s2=s1, d1=d2 ] endmodule
rewards "coinflips" [] s1<7 | s2<7 : 1;endrewards
label "done" = s1=7 & s2=7;label "two" = s1=7 & s2=7 & d1+d2=2;label "three" = s1=7 & s2=7 & d1+d2=3;label "four" = s1=7 & s2=7 & d1+d2=4;label "five" = s1=7 & s2=7 & d1+d2=5;label "six" = s1=7 & s2=7 & d1+d2=6;label "seven" = s1=7 & s2=7 & d1+d2=7;label "eight" = s1=7 & s2=7 & d1+d2=8;label "nine" = s1=7 & s2=7 & d1+d2=9;label "ten" = s1=7 & s2=7 & d1+d2=10;label "eleven" = s1=7 & s2=7 & d1+d2=11;label "twelve" = s1=7 & s2=7 & d1+d2=12;
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