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61 lines
2.1 KiB
61 lines
2.1 KiB
// PRISM Model of a simple robot game
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// - A player - friendlyRobot - moves around and tries not to "crash" with another player - adversary Robot.
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// - friendlyRobot can choose the direction of movement.
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// - adversaryRobot should move in a circle counterclockwise on the grid, but has a probabilty to fail and move into the wrong direction.
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// - The movement of adversaryRobot is defined as a pseudo random movement with probabilty = 1/4 into one of the 4 possible directions.
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smg
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player friendlyRobot
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[e1], [w1], [n1], [s1]
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endplayer
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player adversaryRobot
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[e2], [w2], [n2], [s2], [middle]
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endplayer
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// 3x3 grid
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const int width = 2;
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const int height = 2;
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const int xmin = 0;
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const int xmax = width;
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const int ymin = 0;
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const int ymax = height;
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// probabilty to fail
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const double failProb = 1/10;
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const double notFailProb = 1-failProb;
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// definition of randomProb, this has to be 0.25 since it is the prob of go into one direction from the middle for the adverseryRobot
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const double randomProb = 1/4;
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global move : [0..1] init 0;
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//F__
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//___
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//__R
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label "crash" = x1=x2 & y1=y2;
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module robot1
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x1 : [0..width] init 0;
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y1 : [0..height] init 0;
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[e1] move=0 & x1<xmax -> (x1'=x1+1) & (move'=1);
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[w1] move=0 & x1>0 -> (x1'=x1-1) & (move'=1);
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[n1] move=0 & y1>0 -> (y1'=y1-1) & (move'=1);
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[s1] move=0 & y1<ymax -> (y1'=y1+1) & (move'=1);
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endmodule
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module robot2
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x2 : [0..width] init width;
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y2 : [0..height] init height;
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[e2] move=1 & x2<xmax & y2=ymax -> notFailProb : (x2'=x2+1) & (move'=0) + failProb : (y2'=y2-1) & (move'=0);
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[w2] move=1 & x2>0 & y2=0 -> notFailProb : (x2'=x2-1) & (move'=0) + failProb : (y2'=y2+1) & (move'=0);
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[n2] move=1 & x2=xmax & y2>0 -> notFailProb : (y2'=y2-1) & (move'=0) + failProb : (x2'=x2-1) & (move'=0);
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[s2] move=1 & x2=0 & y2<ymax -> notFailProb : (y2'=y2+1) & (move'=0) + failProb : (x2'=x2+1) & (move'=0);
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[middle] move=1 & x2=1 & y2=1 -> randomProb : (x2'=x2+1) & (move'=0) + randomProb : (x2'=x2-1) & (move'=0) + randomProb : (y2'=y2-1) & (move'=0) + randomProb : (y2'=y2+1) & (move'=0);
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endmodule
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