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mdp
const int initY = 40;const int initX = 80;
const int maxY = 580;const int minX = 10;const int maxX = 144;
formula Gate_1 = (((42<x & x<50) | (74<x & x<82)) & 164<y & y<172);formula Gate_2 = (((72<x & x<80) | (104<x & x<112)) & 256<y & y<264);formula Gate_3 = (((80<x & x<88) | (112<x & x<120)) & 349<y & y<357);formula Gate_4 = (((54<x & x<62) | (88<x & x<96)) & 442<y & y<450);formula Gate_5 = (((80<x & x<88) | (112<x & x<120)) & 530<y & y<538);
formula Passed_Gate_1 = ((x>46 & x<78) & (y>160 & y<176)); //(y=168));formula Passed_Gate_2 = ((x>76 & x<108) & (y>253 & y<269)); //(y=261));formula Passed_Gate_3 = ((x>84 & x<116) & (y>345 & y<361)); //(y=353));formula Passed_Gate_4 = ((x>58 & x<92) & (y>438 & y<454)); //(y=446));formula Passed_Gate_5 = ((x>84 & x<116) & (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<=142) & (y>=190 & y<=200));formula Tree_2 = ((x>=32 & x<=49) & (y>=284 & y<=295));formula Tree_3 = ((x>=30 & x<=49) & (y>=317 & y<=327));formula Tree_4 = ((x>=12 & x<=30) & (y>=408 & y<=418));formula Tree_5 = ((x>=129 & x<=146) & (y>=468 & y<=480));formula Tree_6 = ((x>=140 & x<=152) & (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];
formula Fixed_Left = false;formula Fixed_Right = false;formula Fixed_Noop = false;formula Fixed = Fixed_Left | Fixed_Right | Fixed_Noop;
module skier ski_position : [1..8] ; done : bool ;
passed_gate : bool ;
[left] !Fixed & !passed_gate & move=0 & ski_position>1 -> (ski_position'=ski_position-1) & (move'=1) & (done'=(Hit_Tree|Hit_Gate))& (passed_gate'=(Passed_Gate)); [right] !Fixed & !passed_gate & move=0 & ski_position<8 -> (ski_position'=ski_position+1) & (move'=1) & (done'=(Hit_Tree|Hit_Gate))& (passed_gate'=(Passed_Gate)); [noop] !Fixed & !passed_gate & move=0 -> (move'=1) & (done'=(Hit_Tree|Hit_Gate))& (passed_gate'=(Passed_Gate));
[left] !Fixed & passed_gate & move=0 & ski_position>1 -> (ski_position'=ski_position-1) & (move'=1) & (done'=(Hit_Tree|Hit_Gate))& (passed_gate'=(Left_Gate)); [right] !Fixed & passed_gate & move=0 & ski_position<8 -> (ski_position'=ski_position+1) & (move'=1) & (done'=(Hit_Tree|Hit_Gate))& (passed_gate'=(Left_Gate)); [noop] !Fixed & passed_gate & move=0 -> (move'=1) & (done'=(Hit_Tree|Hit_Gate))& (passed_gate'=(Left_Gate));
[left] Fixed_Left & move=0 -> (ski_position'=ski_position-1) & (move'=1) & (done'=(Hit_Tree|Hit_Gate))& (passed_gate'=(Left_Gate)); [right] Fixed_Right & move=0 -> (ski_position'=ski_position+1) & (move'=1) & (done'=(Hit_Tree|Hit_Gate))& (passed_gate'=(Left_Gate)); [noop] Fixed_Noop & move=0 -> (move'=1) & (done'=(Hit_Tree|Hit_Gate))& (passed_gate'=(Left_Gate));
[done] done -> true;endmodule
module updateY y : [initY..maxY] ;
velocity: [0..16]; standstill : [0..8] ; [update_y] move=1 & standstill>=5 -> (y'=y) & (move'=2); [update_y] move=1 & standstill<5 -> (y'=min(maxY,y+velocity)) & (move'=2);
[update_y] move=2 & (ski_position=1 | ski_position = 8) & standstill>=5 -> (standstill'=min(8,standstill+1)) & (move'=3); [update_y] move=2 & (ski_position=1 | ski_position = 8) & standstill<5 -> (velocity'=max(0,velocity-4)) &(move'=3); [update_y] move=2 & (ski_position=2 | ski_position = 7) -> (velocity'=max(0 ,velocity-2)) & (standstill'=0) & (move'=3); [update_y] move=2 & (ski_position=3 | ski_position = 6) -> (velocity'=min(8,velocity+2)) & (standstill'=0) & (move'=3); [update_y] move=2 & (ski_position=4 | ski_position = 5) -> (velocity'=min(8,velocity+4)) & (standstill'=0) & (move'=3);endmodule
module updateX x : [minX..maxX] ;
[update_x] move=3 & standstill>=8 -> (move'=0); [update_x] move=3 & standstill<8 & (ski_position=4 | ski_position=5) -> (move'=0);
[update_x] move=3 & standstill<8 & (ski_position=3) -> 0.4: (x'=max(minX,x-0)) & (move'=0) + 0.6: (x'=max(minX,x-1)) & (move'=0); [update_x] move=3 & standstill<8 & (ski_position=6) -> 0.4: (x'=min(maxX,x+0)) & (move'=0) + 0.6: (x'=min(maxX,x+1)) & (move'=0);
[update_x] move=3 & standstill<8 & (ski_position=2) -> 0.3: (x'=max(minX,x-0)) & (move'=0) + 0.7: (x'=max(minX,x-1)) & (move'=0); [update_x] move=3 & standstill<8 & (ski_position=7) -> 0.3: (x'=min(maxX,x+0)) & (move'=0) + 0.7: (x'=min(maxX,x+1)) & (move'=0);
[update_x] move=3 & standstill<8 & (ski_position=1) -> 0.2: (x'=max(minX,x-0)) & (move'=0) + 0.8: (x'=max(minX,x-1)) & (move'=0); [update_x] move=3 & standstill<8 & (ski_position=8) -> 0.2: (x'=min(maxX,x+0)) & (move'=0) + 0.8: (x'=min(maxX,x+1)) & (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
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