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mdp
const int WIDTH = 5; const int HEIGHT = 5; const int XINIT = 3; const int YINIT = 1;
const double pAttack = 1/10;
formula left_of_gold = x=2 & y=5; formula right_of_gold = x=4 & y=5; formula below_of_gold = (x=3 & y=4); formula above_of_gold = false; formula left_of_gem = (x=4 & y=4); formula right_of_gem = false; formula below_of_gem = (x=5 & y=3); formula above_of_gem = (x=5 & y=5); formula left_of_home = x=2 & y=1; formula right_of_home = x=4 & y=1; formula above_of_home = x=3 & y=2; formula below_of_home = false; formula left_of_enemy = (x=3 & y=5) | (x=2 & y=4); formula right_of_enemy = (x=5 & y=5) | (x=4 & y=4); formula above_of_enemy = x=3 & y=5; formula below_of_enemy = (x=3 & y=3) | (x=4 & y=4);
module robot
gold : bool init false; gem : bool init false; attacked : bool init false;
x : [1..WIDTH] init XINIT; y : [1..HEIGHT] init YINIT;
[right] !left_of_enemy & x<WIDTH -> (attacked'=false) & (x'=x+1) & (gold' = (gold & !left_of_home) | left_of_gold) & (gem' = (gem & !left_of_home) | left_of_gem); [left] !right_of_enemy & x>1 -> (attacked'=false) & (x'=x-1) & (gold' = (gold & !right_of_home) | right_of_gold) & (gem' = (gem & !right_of_home) | right_of_gem); [top] !below_of_enemy & y<HEIGHT -> (attacked'=false) & (y'=y+1) & (gold' = (gold & !below_of_home) | below_of_gold) & (gem' = (gem & !below_of_home) | below_of_gem); [down] !above_of_enemy & y>1 -> (attacked'=false) & (y'=y-1) & (gold' = (gold & !above_of_home) | above_of_gold) & (gem' = (gem & !above_of_home) | above_of_gem);
[right] left_of_enemy & x<WIDTH -> pAttack : (attacked'=true) & (x'=XINIT) & (y'=YINIT) & (gold'=false) & (gem'=false) + (1-pAttack) : (attacked'=false) & (x'=x+1) & (gold' = (gold & !left_of_home) | left_of_gold) & (gem' = (gem & !left_of_home) | left_of_gem); [left] right_of_enemy & x>1 -> pAttack : (attacked'=true) & (x'=XINIT) & (y'=YINIT) & (gold'=false) & (gem'=false) + (1-pAttack) : (attacked'=false) & (x'=x-1) & (gold' = (gold & !right_of_home) | right_of_gold) & (gem' = (gem & !right_of_home) | right_of_gem); [top] below_of_enemy & y<HEIGHT -> pAttack : (attacked'=true) & (x'=XINIT) & (y'=YINIT) & (gold'=false) & (gem'=false) + (1-pAttack) : (attacked'=false) & (y'=y+1) & (gold' = (gold & !below_of_home) | below_of_gold) & (gem' = (gem & !below_of_home) | below_of_gem); [down] above_of_enemy & y>1 -> pAttack : (attacked'=true) & (x'=XINIT) & (y'=YINIT) & (gold'=false) & (gem'=false) + (1-pAttack) : (attacked'=false) & (y'=y-1) & (gold' = (gold & !above_of_home) | above_of_gold) & (gem' = (gem & !above_of_home) | above_of_gem); endmodule
rewards "attacks" attacked : 1; endrewards
rewards "steps" [left] true : 1; [right] true : 1; [top] true : 1; [down] true : 1; endrewards
rewards "gold" [right] left_of_home & gold : 1; [left] right_of_home & gold : 1; [top] below_of_home & gold : 1; [down] above_of_home & gold : 1; endrewards
rewards "gem" [right] left_of_home & gem : 1; [left] right_of_home & gem : 1; [top] below_of_home & gem : 1; [down] above_of_home & gem: 1; endrewards
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