From 62a4ebfe15d5cad75e462f4ded7542d375d3989e Mon Sep 17 00:00:00 2001 From: sp Date: Mon, 18 Sep 2023 16:24:47 +0200 Subject: [PATCH] updated prism model --- simplified.prism | 103 +++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 103 insertions(+) create mode 100644 simplified.prism diff --git a/simplified.prism b/simplified.prism new file mode 100644 index 0000000..06bccc6 --- /dev/null +++ b/simplified.prism @@ -0,0 +1,103 @@ +mdp + +const int initY = 40; +const int initX = 80; + +const int maxY = 600; +const int minX = 4; +const int maxX = 144; + + +formula Gate_1 = ((x=41 | x=73) & y=168); +formula Gate_2 = ((x=71 | x=104) & y=261); +formula Gate_3 = ((x=81 | x=113) & y=353); +formula Gate_4 = ((x=55 | x=88) & y=446); +formula Gate_5 = ((x=79 | x=110) & y=538); + +formula Passed_Gate_1 = ((x>41 & x<73) & (y>160 & y<176)); //(y=168)); +formula Passed_Gate_2 = ((x>71 & x<104) & (y>253 & y<269)); //(y=261)); +formula Passed_Gate_3 = ((x>81 & x<113) & (y>345 & y<361)); //(y=353)); +formula Passed_Gate_4 = ((x>55 & x<88) & (y>438 & y<454)); //(y=446)); +formula Passed_Gate_5 = ((x>79 & x<110) & (y>530 & y<546)); //(y=538)); +formula Left_Gate_1 = y>176; +formula Left_Gate_2 = y>269; +formula Left_Gate_3 = y>361; +formula Left_Gate_4 = y>454; +formula Left_Gate_5 = y>546; + +formula Tree_1 = ((x>=124 & x<=134) & (y>=190 & y<=200)); +formula Tree_2 = ((x>=32 & x<=42) & (y>=287 & y<=297)); +formula Tree_3 = ((x>=28 & x<=38) & (y>=317 & y<=327)); +formula Tree_4 = ((x>=12 & x<=22) & (y>=408 & y<=418)); +formula Tree_5 = ((x>=129 & x<=139) & (y>=468 & y<=480)); +formula Tree_6 = ((x>=140 & x<=144) & (y>=496 & y<=510)); + +formula Hit_Tree = Tree_1 | Tree_2 | Tree_3 | Tree_4 | Tree_5 | Tree_6; +formula Hit_Gate = Gate_1 | Gate_2 | Gate_3 | Gate_4 | Gate_5; +formula Passed_Gate = Passed_Gate_1 | Passed_Gate_2 | Passed_Gate_3 | Passed_Gate_4 | Passed_Gate_5; +formula Left_Gate = Left_Gate_1 | Left_Gate_2 | Left_Gate_3 | Left_Gate_4 | Left_Gate_5; + + +global move : [0..3] init 0; + +module skier + ski_position : [1..14] init 8; + done : bool init false; + + passed_gate : bool init false; + + [left] !passed_gate & move=0 & ski_position>1 -> (ski_position'=ski_position-1) & (move'=1) & (done'=(Hit_Tree|Hit_Gate))& (passed_gate'=(Passed_Gate)); + [right] !passed_gate & move=0 & ski_position<14 -> (ski_position'=ski_position+1) & (move'=1) & (done'=(Hit_Tree|Hit_Gate))& (passed_gate'=(Passed_Gate)); + [noop] !passed_gate & move=0 -> (move'=1) & (done'=(Hit_Tree|Hit_Gate))& (passed_gate'=(Passed_Gate)); + + [left] passed_gate & move=0 & ski_position>1 -> (ski_position'=ski_position-1) & (move'=1) & (done'=(Hit_Tree|Hit_Gate))& (passed_gate'=(Left_Gate)); + [right] passed_gate & move=0 & ski_position<14 -> (ski_position'=ski_position+1) & (move'=1) & (done'=(Hit_Tree|Hit_Gate))& (passed_gate'=(Left_Gate)); + [noop] passed_gate & move=0 -> (move'=1) & (done'=(Hit_Tree|Hit_Gate))& (passed_gate'=(Left_Gate)); + + //[left] done & move=0 & ski_position>1 -> (ski_position'=ski_position-1) & (move'=1); + //[right] done & move=0 & ski_position<14 -> (ski_position'=ski_position+1) & (move'=1); + //[noop] done & move=0 -> (move'=1); + [done] done -> true; +endmodule + +module updateY + y : [initY..maxY] init initY; + standstill : [0..8] init 0; + [update_y] move=1 & (ski_position=1 | ski_position = 14) & standstill>=5 -> (y'=y) & (standstill'=min(8,standstill+1)) & (move'=2); + [update_y] move=1 & (ski_position=1 | ski_position = 14) & standstill<5 -> (y'=min(maxY,y+4)) & (standstill'=min(8,standstill+1)) & (move'=2); + [update_y] move=1 & (ski_position=2 | ski_position = 3 | ski_position = 12 | ski_position = 13) -> (y'=min(maxY,y+8)) & (standstill'=0) & (move'=2); + [update_y] move=1 & (ski_position=4 | ski_position = 5 | ski_position = 10 | ski_position = 11) -> (y'=min(maxY,y+12)) & (standstill'=0) & (move'=2); + [update_y] move=1 & (ski_position=6 | ski_position = 7 | ski_position = 8 | ski_position = 9) -> (y'=min(maxY,y+16)) & (standstill'=0) & (move'=2); +endmodule + +module updateX + x : [minX..maxX] init initX; + + [update_x] move=2 & standstill>=8 -> (move'=0); + [update_x] move=2 & standstill<8 & (ski_position=7 | ski_position=8) -> (move'=0); + + [update_x] move=2 & standstill<8 & ski_position=6 -> 0.1: (x'=max(minX,x-2)) + 0.7: (x'=max(minX,x-4)) + 0.2: (x'=max(minX,x-6)) & (move'=0); + [update_x] move=2 & standstill<8 & ski_position=9 -> 0.1: (x'=min(maxX,x+2)) + 0.7: (x'=min(maxX,x+4)) + 0.2: (x'=min(maxX,x+6)) & (move'=0); + + [update_x] move=2 & standstill<8 & (ski_position=4 | ski_position=5) -> 0.1: (x'=max(minX,x-4)) + 0.7: (x'=max(minX,x-6)) + 0.2: (x'=max(minX,x-8)) & (move'=0); + [update_x] move=2 & standstill<8 & (ski_position=10 | ski_position=11) -> 0.1: (x'=min(maxX,x+4)) + 0.7: (x'=min(maxX,x+6)) + 0.2: (x'=min(maxX,x+8)) & (move'=0); + + [update_x] move=2 & standstill<8 & (ski_position=2 | ski_position=3) -> 0.1: (x'=max(minX,x-4)) + 0.7: (x'=max(minX,x-6)) + 0.2: (x'=max(minX,x-8)) & (move'=0); + [update_x] move=2 & standstill<8 & (ski_position=12 | ski_position=13) -> 0.1: (x'=min(maxX,x+4)) + 0.7: (x'=min(maxX,x+6)) + 0.2: (x'=min(maxX,x+8)) & (move'=0); + + [update_x] move=2 & standstill<8 & (ski_position=1) -> 0.1: (x'=max(minX,x-0)) + 0.7: (x'=max(minX,x-2)) + 0.2: (x'=max(minX,x-4)) & (move'=0); + [update_x] move=2 & standstill<8 & (ski_position=14) -> 0.1: (x'=min(maxX,x+0)) + 0.7: (x'=min(maxX,x+2)) + 0.2: (x'=min(maxX,x+4)) & (move'=0); +endmodule + +rewards + [left] !passed_gate & standstill<2 & Passed_Gate: 100; + [right] !passed_gate & standstill<2 & Passed_Gate: 100; + [noop] !passed_gate & standstill<2 & Passed_Gate: 100; + + [left] !done & (Hit_Tree) : -100; + [right] !done & (Hit_Tree) : -100; + [noop] !done & (Hit_Tree) : -100; + [left] !done & (Hit_Gate) : -100; + [right] !done & (Hit_Gate) : -100; + [noop] !done & (Hit_Gate) : -100; +endrewards