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Update some POMDP examples now that observables can be expressions. 

Also fix a bug in maze2.prism (location s=10).
accumulation-v4.7
Dave Parker 5 years ago
parent
35f392ec5e
commit
e5ea762d80
12 changed files with 282 additions and 427 deletions
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  1. 48
      prism-examples/pomdps/gridworld/3x3grid.prism
  2. 49
      prism-examples/pomdps/gridworld/3x3grid_bounded.prism
  3. 62
      prism-examples/pomdps/gridworld/4x4grid.prism
  4. 63
      prism-examples/pomdps/gridworld/4x4grid_bounded.prism
  5. 2
      prism-examples/pomdps/gridworld/grid.props
  6. 2
      prism-examples/pomdps/gridworld/grid_bounded.props
  7. 117
      prism-examples/pomdps/simple/maze.prism
  8. 121
      prism-examples/pomdps/simple/maze2.prism
  9. 117
      prism-tests/functionality/verify/pomdps/maze.prism
  10. 121
      prism-tests/functionality/verify/pomdps/maze2.prism
  11. 2
      prism-tests/functionality/verify/pomdps/maze2.prism.props
  12. 1
      prism-tests/functionality/verify/pomdps/maze2.prism.props.args

48
prism-examples/pomdps/gridworld/3x3grid.prism
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@ -5,41 +5,39 @@
pomdp
const int N = 3; // grid size
// only the target is observable which is in the south east corner
observables
o
endobservables
// (also if the initialisation step has been done)
formula target = x=N-1 & y=0;
observable "target" = target;
observable "started" = started;
module grid
x : [0..2]; // x coordinate
y : [0..2]; // y coordinate
o : [0..2]; // observables
// 0 - initial observation
// 1 - in the grid (not target)
// 2 - observe target
x : [0..N-1]; // x coordinate
y : [0..N-1]; // y coordinate
started : bool; // initialised?
// initially randomly placed within the grid (not at the target)
[] o=0 -> 1/8 : (o'=1) & (x'=0) & (y'=0)
+ 1/8 : (o'=1) & (x'=0) & (y'=1)
+ 1/8 : (o'=1) & (x'=0) & (y'=2)
+ 1/8 : (o'=1) & (x'=1) & (y'=0)
+ 1/8 : (o'=1) & (x'=1) & (y'=1)
+ 1/8 : (o'=1) & (x'=1) & (y'=2)
// + 1/8 : (o'=1) & (x'=2) & (y'=0) the target
+ 1/8 : (o'=1) & (x'=2) & (y'=1)
+ 1/8 : (o'=1) & (x'=2) & (y'=2);
[] !started -> 1/8 : (started'=true) & (x'=0) & (y'=0)
+ 1/8 : (started'=true) & (x'=0) & (y'=1)
+ 1/8 : (started'=true) & (x'=0) & (y'=2)
+ 1/8 : (started'=true) & (x'=1) & (y'=0)
+ 1/8 : (started'=true) & (x'=1) & (y'=1)
+ 1/8 : (started'=true) & (x'=1) & (y'=2)
// + 1/8 : (started'=true) & (x'=2) & (y'=0) the target
+ 1/8 : (started'=true) & (x'=2) & (y'=1)
+ 1/8 : (started'=true) & (x'=2) & (y'=2);
// move around the grid
[east] o=1 & !(x=1 & y=0) -> (x'=min(x+1,2)); // not reached target
[east] o=1 & x=1 & y=0 -> (x'=min(x+1,2)) & (o'=2);
[west] o=1 -> (x'=max(x-1,0)); // not reached target
[north] o=1 -> (x'=min(y+1,2)); // reached target
[south] o=1 & !(x=2 & y=1) -> (y'=max(y-1,0)); // not reached target
[south] o=1 & x=2 & y=1 -> (y'=max(y-1,0)) & (o'=2); // reached target
[east] started & !target -> (x'=min(x+1,N-1));
[west] started & !target -> (x'=max(x-1,0));
[north] started & !target -> (x'=min(y+1,N-1));
[south] started & !target -> (y'=max(y-1,0));
// reached target
[done] o=2 -> true;
[done] target -> true;
endmodule

49
prism-examples/pomdps/gridworld/3x3grid_bounded.prism
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@ -5,44 +5,41 @@
pomdp
const int N = 3; // grid size
const int K; // step bound in property
// only the target is observable which is in the south east corner
// (and the step bound)
observables
o, k
endobservables
// (also if the initialisation step has been done and the step count)
formula target = x=N-1 & y=0;
observable "target" = target;
observable "started" = started;
observable "k" = k;
module grid
x : [0..2]; // x coordinate
y : [0..2]; // y coordinate
o : [0..2]; // observables
// 0 - initial observation
// 1 - in the grid (not target)
// 2 - observe target
x : [0..N-1]; // x coordinate
y : [0..N-1]; // y coordinate
started : bool; // initialised?
// initially randomly placed within the grid (not at the target)
[] o=0 -> 1/8 : (o'=1) & (x'=0) & (y'=0)
+ 1/8 : (o'=1) & (x'=0) & (y'=1)
+ 1/8 : (o'=1) & (x'=0) & (y'=2)
+ 1/8 : (o'=1) & (x'=1) & (y'=0)
+ 1/8 : (o'=1) & (x'=1) & (y'=1)
+ 1/8 : (o'=1) & (x'=1) & (y'=2)
// + 1/8 : (o'=1) & (x'=2) & (y'=0) the target
+ 1/8 : (o'=1) & (x'=2) & (y'=1)
+ 1/8 : (o'=1) & (x'=2) & (y'=2);
[] !started -> 1/8 : (started'=true) & (x'=0) & (y'=0)
+ 1/8 : (started'=true) & (x'=0) & (y'=1)
+ 1/8 : (started'=true) & (x'=0) & (y'=2)
+ 1/8 : (started'=true) & (x'=1) & (y'=0)
+ 1/8 : (started'=true) & (x'=1) & (y'=1)
+ 1/8 : (started'=true) & (x'=1) & (y'=2)
// + 1/8 : (started'=true) & (x'=2) & (y'=0) the target
+ 1/8 : (started'=true) & (x'=2) & (y'=1)
+ 1/8 : (started'=true) & (x'=2) & (y'=2);
// move around the grid
[east] o=1 & !(x=1 & y=0) -> (x'=min(x+1,2)); // not reached target
[east] o=1 & x=1 & y=0 -> (x'=min(x+1,2)) & (o'=2); // reached target
[west] o=1 -> (x'=max(x-1,0)); // not reached target
[north] o=1 -> (x'=min(y+1,2)); // reached target
[south] o=1 & !(x=2 & y=1) -> (y'=max(y-1,0)); // not reached target
[south] o=1 & x=2 & y=1 -> (y'=max(y-1,0)) & (o'=2); // reached target
[east] started & !target -> (x'=min(x+1,N-1));
[west] started & !target -> (x'=max(x-1,0));
[north] started & !target -> (x'=min(y+1,N-1));
[south] started & !target -> (y'=max(y-1,0));
// reached target
[done] o=2 -> true;
[done] target -> true;
endmodule

62
prism-examples/pomdps/gridworld/4x4grid.prism
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@ -5,48 +5,46 @@
pomdp
const int N = 4; // grid size
// only the target is observable which is in the south east corner
observables
o
endobservables
// (also if the initialisation step has been done)
formula target = x=N-1 & y=0;
observable "target" = target;
observable "started" = started;
module grid
x : [0..2]; // x coordinate
y : [0..2]; // y coordinate
o : [0..2]; // observables
// 0 - initial observation
// 1 - in the grid (not target)
// 2 - observe target
x : [0..N-1]; // x coordinate
y : [0..N-1]; // y coordinate
started : bool; // initialised?
// initially randomly placed within the grid (not at the target)
[] o=0 -> 1/15 : (o'=1) & (x'=0) & (y'=0)
+ 1/15 : (o'=1) & (x'=0) & (y'=1)
+ 1/15 : (o'=1) & (x'=0) & (y'=2)
+ 1/15 : (o'=1) & (x'=0) & (y'=3)
+ 1/15 : (o'=1) & (x'=1) & (y'=0)
+ 1/15 : (o'=1) & (x'=1) & (y'=1)
+ 1/15 : (o'=1) & (x'=1) & (y'=2)
+ 1/15 : (o'=1) & (x'=1) & (y'=3)
+ 1/15 : (o'=1) & (x'=2) & (y'=0)
+ 1/15 : (o'=1) & (x'=2) & (y'=1)
+ 1/15 : (o'=1) & (x'=2) & (y'=2)
+ 1/15 : (o'=1) & (x'=2) & (y'=3)
// + 1/15 : (o'=1) & (x'=3) & (y'=0) this is the traget
+ 1/15 : (o'=1) & (x'=3) & (y'=1)
+ 1/15 : (o'=1) & (x'=3) & (y'=2)
+ 1/15 : (o'=1) & (x'=3) & (y'=3);
[] !started -> 1/15 : (started'=true) & (x'=0) & (y'=0)
+ 1/15 : (started'=true) & (x'=0) & (y'=1)
+ 1/15 : (started'=true) & (x'=0) & (y'=2)
+ 1/15 : (started'=true) & (x'=0) & (y'=3)
+ 1/15 : (started'=true) & (x'=1) & (y'=0)
+ 1/15 : (started'=true) & (x'=1) & (y'=1)
+ 1/15 : (started'=true) & (x'=1) & (y'=2)
+ 1/15 : (started'=true) & (x'=1) & (y'=3)
+ 1/15 : (started'=true) & (x'=2) & (y'=0)
+ 1/15 : (started'=true) & (x'=2) & (y'=1)
+ 1/15 : (started'=true) & (x'=2) & (y'=2)
+ 1/15 : (started'=true) & (x'=2) & (y'=3)
// + 1/15 : (started'=true) & (x'=3) & (y'=0) the target
+ 1/15 : (started'=true) & (x'=3) & (y'=1)
+ 1/15 : (started'=true) & (x'=3) & (y'=2)
+ 1/15 : (started'=true) & (x'=3) & (y'=3);
// move around the grid
[east] o=1 & !(x=2 & y=0) -> (x'=min(x+1,3)); // not reached target
[east] o=1 & x=2 & y=0 -> (x'=min(x+1,3)) & (o'=2); // reached target
[west] o=1 -> (x'=max(x-1,0)); // not reached target
[north] o=1 -> (x'=min(y+1,3)); // reached target
[south] o=1 & !(x=3 & y=1) -> (y'=max(y-1,0)); // not reached target
[south] o=1 & x=3 & y=1 -> (y'=max(y-1,0)) & (o'=2); // reached target
[east] started & !target -> (x'=min(x+1,N-1));
[west] started & !target -> (x'=max(x-1,0));
[north] started & !target -> (x'=min(y+1,N-1));
[south] started & !target -> (y'=max(y-1,0));
// reached target
[done] o=2 -> true;
[done] target -> true;
endmodule

63
prism-examples/pomdps/gridworld/4x4grid_bounded.prism
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@ -6,51 +6,48 @@
pomdp
const int N = 4; // grid size
const int K; // step bound in property
// only the target is observable which is in the south east corner
// (and the step bound)
observables
o, k
endobservables
// (also if the initialisation step has been done and the step count)
formula target = x=N-1 & y=0;
observable "target" = target;
observable "started" = started;
observable "k" = k;
module grid
x : [0..2]; // x coordinate
y : [0..2]; // y coordinate
o : [0..2]; // observables
// 0 - initial observation
// 1 - in the grid (not target)
// 2 - observe target
x : [0..N-1]; // x coordinate
y : [0..N-1]; // y coordinate
started : bool; // initialised?
// initially randomly placed within the grid (not at the target)
[] o=0 -> 1/15 : (o'=1) & (x'=0) & (y'=0)
+ 1/15 : (o'=1) & (x'=0) & (y'=1)
+ 1/15 : (o'=1) & (x'=0) & (y'=2)
+ 1/15 : (o'=1) & (x'=0) & (y'=3)
+ 1/15 : (o'=1) & (x'=1) & (y'=0)
+ 1/15 : (o'=1) & (x'=1) & (y'=1)
+ 1/15 : (o'=1) & (x'=1) & (y'=2)
+ 1/15 : (o'=1) & (x'=1) & (y'=3)
+ 1/15 : (o'=1) & (x'=2) & (y'=0)
+ 1/15 : (o'=1) & (x'=2) & (y'=1)
+ 1/15 : (o'=1) & (x'=2) & (y'=2)
+ 1/15 : (o'=1) & (x'=2) & (y'=3)
// + 1/15 : (o'=1) & (x'=3) & (y'=0) this is the traget
+ 1/15 : (o'=1) & (x'=3) & (y'=1)
+ 1/15 : (o'=1) & (x'=3) & (y'=2)
+ 1/15 : (o'=1) & (x'=3) & (y'=3);
[] !started -> 1/15 : (started'=true) & (x'=0) & (y'=0)
+ 1/15 : (started'=true) & (x'=0) & (y'=1)
+ 1/15 : (started'=true) & (x'=0) & (y'=2)
+ 1/15 : (started'=true) & (x'=0) & (y'=3)
+ 1/15 : (started'=true) & (x'=1) & (y'=0)
+ 1/15 : (started'=true) & (x'=1) & (y'=1)
+ 1/15 : (started'=true) & (x'=1) & (y'=2)
+ 1/15 : (started'=true) & (x'=1) & (y'=3)
+ 1/15 : (started'=true) & (x'=2) & (y'=0)
+ 1/15 : (started'=true) & (x'=2) & (y'=1)
+ 1/15 : (started'=true) & (x'=2) & (y'=2)
+ 1/15 : (started'=true) & (x'=2) & (y'=3)
// + 1/15 : (started'=true) & (x'=3) & (y'=0) the target
+ 1/15 : (started'=true) & (x'=3) & (y'=1)
+ 1/15 : (started'=true) & (x'=3) & (y'=2)
+ 1/15 : (started'=true) & (x'=3) & (y'=3);
// move around the grid
[east] o=1 & !(x=2 & y=0) -> (x'=min(x+1,3)); // not reached target
[east] o=1 & x=2 & y=0 -> (x'=min(x+1,3)) & (o'=2); // reached target
[west] o=1 -> (x'=max(x-1,0)); // not reached target
[north] o=1 -> (x'=min(y+1,3)); // reached target
[south] o=1 & !(x=3 & y=1) -> (y'=max(y-1,0)); // not reached target
[south] o=1 & x=3 & y=1 -> (y'=max(y-1,0)) & (o'=2); // reached target
[east] started & !target -> (x'=min(x+1,N-1));
[west] started & !target -> (x'=max(x-1,0));
[north] started & !target -> (x'=min(y+1,N-1));
[south] started & !target -> (y'=max(y-1,0));
// reached target
[done] o=2 -> true;
[done] target -> true;
endmodule

2
prism-examples/pomdps/gridworld/grid.props
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@ -1,2 +1,2 @@
// Minimum steps to reach goal
Rmin=? [ F o=2 ]
Rmin=? [ F "target" ]

2
prism-examples/pomdps/gridworld/grid_bounded.props
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@ -1,2 +1,2 @@
// Maximum probability to reach goal (for use with step bound property)
Pmax=? [ F o=2 ]
Pmax=? [ F "target" ]

117
prism-examples/pomdps/simple/maze.prism
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@ -15,86 +15,58 @@
pomdp
// can observe the walls and target
observables
o
endobservables
// o=0 - observation in initial state
// o=1 - west and north walls (s0)
// o=2 - north and south ways (s1 and s3)
// o=3 - north wall (s2)
// o=4 - east and north way (s4)
// o=5 - east and west walls (s5, s6 and s7)
// o=6 - east, west and south walls (s8 and s9)
// o=7 - the target (s10)
observable "west" = s=0|s=5|s=6|s=7|s=8|s=9|s=10; // wall to the west
observable "east" = s=4|s=5|s=6|s=7|s=8|s=9|s=10; // wall to the east
observable "north" = s=0|s=1|s=2|s=3|s=4; // wall to the north
observable "south" = s=1|s=3|s=8|s=9|s=10; // wall to the south
observable "target" = s=10; //target
module maze
s : [-1..10];
o : [0..7];
// initialisation
[] s=-1 -> 0.1 : (s'=0) & (o'=1)
+ 0.1 : (s'=1) & (o'=2)
+ 0.1 : (s'=2) & (o'=3)
+ 0.1 : (s'=3) & (o'=2)
+ 0.1 : (s'=4) & (o'=4)
+ 0.1 : (s'=5) & (o'=5)
+ 0.1 : (s'=6) & (o'=5)
+ 0.1 : (s'=7) & (o'=5)
+ 0.1 : (s'=8) & (o'=6)
+ 0.1 : (s'=9) & (o'=6);
[] s=-1 -> 0.1 : (s'=0)
+ 0.1 : (s'=1)
+ 0.1 : (s'=2)
+ 0.1 : (s'=3)
+ 0.1 : (s'=4)
+ 0.1 : (s'=5)
+ 0.1 : (s'=6)
+ 0.1 : (s'=7)
+ 0.1 : (s'=8)
+ 0.1 : (s'=9);
// moving around the maze
[east] s=0 -> (s'=1) & (o'=2);
[west] s=0 -> (s'=0);
[north] s=0 -> (s'=0);
[south] s=0 -> (s'=5) & (o'=5);
[east] s=1 -> (s'=2) & (o'=3);
[west] s=1 -> (s'=0) & (o'=1);
[north] s=1 -> (s'=1);
[south] s=1 -> (s'=1);
[east] s=2 -> (s'=3) & (o'=2);
[west] s=2 -> (s'=1) & (o'=2);
[north] s=2 -> (s'=2);
[south] s=2 -> (s'=6) & (o'=5);
[east] s=3 -> (s'=4) & (o'=4);
[west] s=3 -> (s'=2) & (o'=2);
[north] s=3 -> (s'=3);
[south] s=3 -> (s'=3);
[east] s=4 -> (s'=4);
[west] s=4 -> (s'=3) & (o'=2);
[north] s=4 -> (s'=4);
[south] s=4 -> (s'=7) & (o'=5);
[east] s=5 -> (s'=5);
[west] s=5 -> (s'=5);
[north] s=5 -> (s'=0) & (o'=1);
[south] s=5 -> (s'=8) & (o'=6);
[east] s=6 -> (s'=6);
[west] s=6 -> (s'=6);
[north] s=6 -> (s'=2) & (o'=3);
[south] s=6 -> (s'=10) & (o'=7);
[east] s=7 -> (s'=7);
[west] s=7 -> (s'=7);
[north] s=7 -> (s'=4) & (o'=4);
[south] s=7 -> (s'=9) & (o'=6);
[east] s=8 -> (s'=8);
[west] s=8 -> (s'=8);
[north] s=8 -> (s'=5) & (o'=5);
[south] s=8 -> (s'=8);
[east] s=9 -> (s'=9);
[west] s=9 -> (s'=9);
[north] s=9 -> (s'=7) & (o'=5);
[south] s=9 -> (s'=9);
[east] s=0 -> (s'=1);
[south] s=0 -> (s'=5);
[east] s=1 -> (s'=2);
[west] s=1 -> (s'=0);
[east] s=2 -> (s'=3);
[west] s=2 -> (s'=1);
[south] s=2 -> (s'=6);
[east] s=3 -> (s'=4);
[west] s=3 -> (s'=2);
[west] s=4 -> (s'=3);
[south] s=4 -> (s'=7);
[north] s=5 -> (s'=0);
[south] s=5 -> (s'=8);
[north] s=6 -> (s'=2);
[south] s=6 -> (s'=10);
[north] s=7 -> (s'=4);
[south] s=7 -> (s'=9);
[north] s=8 -> (s'=5);
[north] s=9 -> (s'=7);
// loop when we reach the target
[done] s=10 -> true;
@ -110,6 +82,3 @@ rewards
[south] true : 1;
endrewards
// target observation
label "target" = o=7;

121
prism-examples/pomdps/simple/maze2.prism
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@ -17,104 +17,70 @@
pomdp
// can observe the walls and target
observables
o
endobservables
// o=0 - observation in initial state
// o=1 - west and north walls (s0)
// o=2 - north and south ways (s1 and s3)
// o=3 - north wall (s2)
// o=4 - east and north way (s4)
// o=5 - east and west walls (s5, s6, s7, s8, s9 and s10)
// o=6 - east, west and south walls (s11 and s12)
// o=7 - the target (s13)
observable "west" = s=0|s=5|s=6|s=7|s=8|s=9|s=10|s=11|s=12|s=13; // wall to the west
observable "east" = s=4|s=5|s=6|s=7|s=8|s=9|s=10|s=10|s=11|s=12|s=13; // wall to the east
observable "north" = s=0|s=1|s=2|s=3|s=4; // wall to the north
observable "south" = s=1|s=3|s=11|s=12|s=13; // wall to the south
observable "target" = s=13; //target
module maze
s : [-1..13];
o : [0..7];
// initialisation
[] s=-1 -> 1/13 : (s'=0) & (o'=1)
+ 1/13 : (s'=1) & (o'=2)
+ 1/13 : (s'=2) & (o'=3)
+ 1/13 : (s'=3) & (o'=2)
+ 1/13 : (s'=4) & (o'=4)
+ 1/13 : (s'=5) & (o'=5)
+ 1/13 : (s'=6) & (o'=5)
+ 1/13 : (s'=7) & (o'=5)
+ 1/13 : (s'=8) & (o'=5)
+ 1/13 : (s'=9) & (o'=5)
+ 1/13 : (s'=10) & (o'=5)
+ 1/13 : (s'=11) & (o'=6)
+ 1/13 : (s'=12) & (o'=6);
[] s=-1 -> 1/13 : (s'=0)
+ 1/13 : (s'=1)
+ 1/13 : (s'=2)
+ 1/13 : (s'=3)
+ 1/13 : (s'=4)
+ 1/13 : (s'=5)
+ 1/13 : (s'=6)
+ 1/13 : (s'=7)
+ 1/13 : (s'=8)
+ 1/13 : (s'=9)
+ 1/13 : (s'=10)
+ 1/13 : (s'=11)
+ 1/13 : (s'=12);
// moving around the maze
[east] s=0 -> (s'=1) & (o'=2);
[west] s=0 -> (s'=0);
[north] s=0 -> (s'=0);
[south] s=0 -> (s'=5) & (o'=5);
[east] s=1 -> (s'=2) & (o'=3);
[west] s=1 -> (s'=0) & (o'=1);
[north] s=1 -> (s'=1);
[south] s=1 -> (s'=1);
[east] s=2 -> (s'=3) & (o'=2);
[west] s=2 -> (s'=1) & (o'=2);
[north] s=2 -> (s'=2);
[south] s=2 -> (s'=6) & (o'=5);
[east] s=3 -> (s'=4) & (o'=4);
[west] s=3 -> (s'=2) & (o'=2);
[north] s=3 -> (s'=3);
[south] s=3 -> (s'=3);
[east] s=4 -> (s'=4);
[west] s=4 -> (s'=3) & (o'=2);
[north] s=4 -> (s'=4);
[south] s=4 -> (s'=7) & (o'=5);
[east] s=5 -> (s'=5);
[west] s=5 -> (s'=5);
[north] s=5 -> (s'=0) & (o'=1);
[east] s=0 -> (s'=1);
[south] s=0 -> (s'=5);
[east] s=1 -> (s'=2);
[west] s=1 -> (s'=0);
[east] s=2 -> (s'=3);
[west] s=2 -> (s'=1);
[south] s=2 -> (s'=6);
[east] s=3 -> (s'=4);
[west] s=3 -> (s'=2);
[west] s=4 -> (s'=3);
[south] s=4 -> (s'=7);
[north] s=5 -> (s'=0);
[south] s=5 -> (s'=8);
[east] s=6 -> (s'=6);
[west] s=6 -> (s'=6);
[north] s=6 -> (s'=2) & (o'=3);
[north] s=6 -> (s'=2);
[south] s=6 -> (s'=9);
[east] s=7 -> (s'=7);
[west] s=7 -> (s'=7);
[north] s=7 -> (s'=4) & (o'=4);
[north] s=7 -> (s'=4);
[south] s=7 -> (s'=10);
[east] s=8 -> (s'=8);
[west] s=8 -> (s'=8);
[north] s=8 -> (s'=5);
[south] s=8 -> (s'=11) & (o'=6);
[south] s=8 -> (s'=11);
[east] s=9 -> (s'=9);
[west] s=9 -> (s'=9);
[north] s=9 -> (s'=6);
[south] s=9 -> (s'=13) & (o'=7);
[south] s=9 -> (s'=13);
[east] s=10 -> (s'=9);
[west] s=10 -> (s'=9);
[north] s=10 -> (s'=7);
[south] s=10 -> (s'=12) & (o'=6);
[south] s=10 -> (s'=12);
[east] s=11 -> (s'=11);
[west] s=11 -> (s'=11);
[north] s=11 -> (s'=8) & (o'=5);
[south] s=11 -> (s'=11);
[north] s=11 -> (s'=8);
[east] s=12 -> (s'=12);
[west] s=12 -> (s'=12);
[north] s=12 -> (s'=10) & (o'=5);
[south] s=12 -> (s'=12);
[north] s=12 -> (s'=10);
// loop when we reach the target
[done] s=13 -> true;
@ -130,6 +96,3 @@ rewards
[south] true : 1;
endrewards
// target observation
label "target" = o=7;

117
prism-tests/functionality/verify/pomdps/maze.prism
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@ -15,86 +15,58 @@
pomdp
// can observe the walls and target
observables
o
endobservables
// o=0 - observation in initial state
// o=1 - west and north walls (s0)
// o=2 - north and south ways (s1 and s3)
// o=3 - north wall (s2)
// o=4 - east and north way (s4)
// o=5 - east and west walls (s5, s6 and s7)
// o=6 - east, west and south walls (s8 and s9)
// o=7 - the target (s10)
observable "west" = s=0|s=5|s=6|s=7|s=8|s=9|s=10; // wall to the west
observable "east" = s=4|s=5|s=6|s=7|s=8|s=9|s=10; // wall to the east
observable "north" = s=0|s=1|s=2|s=3|s=4; // wall to the north
observable "south" = s=1|s=3|s=8|s=9|s=10; // wall to the south
observable "target" = s=10; //target
module maze
s : [-1..10];
o : [0..7];
// initialisation
[] s=-1 -> 0.1 : (s'=0) & (o'=1)
+ 0.1 : (s'=1) & (o'=2)
+ 0.1 : (s'=2) & (o'=3)
+ 0.1 : (s'=3) & (o'=2)
+ 0.1 : (s'=4) & (o'=4)
+ 0.1 : (s'=5) & (o'=5)
+ 0.1 : (s'=6) & (o'=5)
+ 0.1 : (s'=7) & (o'=5)
+ 0.1 : (s'=8) & (o'=6)
+ 0.1 : (s'=9) & (o'=6);
[] s=-1 -> 0.1 : (s'=0)
+ 0.1 : (s'=1)
+ 0.1 : (s'=2)
+ 0.1 : (s'=3)
+ 0.1 : (s'=4)
+ 0.1 : (s'=5)
+ 0.1 : (s'=6)
+ 0.1 : (s'=7)
+ 0.1 : (s'=8)
+ 0.1 : (s'=9);
// moving around the maze
[east] s=0 -> (s'=1) & (o'=2);
[west] s=0 -> (s'=0);
[north] s=0 -> (s'=0);
[south] s=0 -> (s'=5) & (o'=5);
[east] s=1 -> (s'=2) & (o'=3);
[west] s=1 -> (s'=0) & (o'=1);
[north] s=1 -> (s'=1);
[south] s=1 -> (s'=1);
[east] s=2 -> (s'=3) & (o'=2);
[west] s=2 -> (s'=1) & (o'=2);
[north] s=2 -> (s'=2);
[south] s=2 -> (s'=6) & (o'=5);
[east] s=3 -> (s'=4) & (o'=4);
[west] s=3 -> (s'=2) & (o'=2);
[north] s=3 -> (s'=3);
[south] s=3 -> (s'=3);
[east] s=4 -> (s'=4);
[west] s=4 -> (s'=3) & (o'=2);
[north] s=4 -> (s'=4);
[south] s=4 -> (s'=7) & (o'=5);
[east] s=5 -> (s'=5);
[west] s=5 -> (s'=5);
[north] s=5 -> (s'=0) & (o'=1);
[south] s=5 -> (s'=8) & (o'=6);
[east] s=6 -> (s'=6);
[west] s=6 -> (s'=6);
[north] s=6 -> (s'=2) & (o'=3);
[south] s=6 -> (s'=10) & (o'=7);
[east] s=7 -> (s'=7);
[west] s=7 -> (s'=7);
[north] s=7 -> (s'=4) & (o'=4);
[south] s=7 -> (s'=9) & (o'=6);
[east] s=8 -> (s'=8);
[west] s=8 -> (s'=8);
[north] s=8 -> (s'=5) & (o'=5);
[south] s=8 -> (s'=8);
[east] s=9 -> (s'=9);
[west] s=9 -> (s'=9);
[north] s=9 -> (s'=7) & (o'=5);
[south] s=9 -> (s'=9);
[east] s=0 -> (s'=1);
[south] s=0 -> (s'=5);
[east] s=1 -> (s'=2);
[west] s=1 -> (s'=0);
[east] s=2 -> (s'=3);
[west] s=2 -> (s'=1);
[south] s=2 -> (s'=6);
[east] s=3 -> (s'=4);
[west] s=3 -> (s'=2);
[west] s=4 -> (s'=3);
[south] s=4 -> (s'=7);
[north] s=5 -> (s'=0);
[south] s=5 -> (s'=8);
[north] s=6 -> (s'=2);
[south] s=6 -> (s'=10);
[north] s=7 -> (s'=4);
[south] s=7 -> (s'=9);
[north] s=8 -> (s'=5);
[north] s=9 -> (s'=7);
// loop when we reach the target
[done] s=10 -> true;
@ -110,6 +82,3 @@ rewards
[south] true : 1;
endrewards
// target observation
label "target" = o=7;

121
prism-tests/functionality/verify/pomdps/maze2.prism
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@ -17,104 +17,70 @@
pomdp
// can observe the walls and target
observables
o
endobservables
// o=0 - observation in initial state
// o=1 - west and north walls (s0)
// o=2 - north and south ways (s1 and s3)
// o=3 - north wall (s2)
// o=4 - east and north way (s4)
// o=5 - east and west walls (s5, s6, s7, s8, s9 and s10)
// o=6 - east, west and south walls (s11 and s12)
// o=7 - the target (s13)
observable "west" = s=0|s=5|s=6|s=7|s=8|s=9|s=10|s=11|s=12|s=13; // wall to the west
observable "east" = s=4|s=5|s=6|s=7|s=8|s=9|s=10|s=10|s=11|s=12|s=13; // wall to the east
observable "north" = s=0|s=1|s=2|s=3|s=4; // wall to the north
observable "south" = s=1|s=3|s=11|s=12|s=13; // wall to the south
observable "target" = s=13; //target
module maze
s : [-1..13];
o : [0..7];
// initialisation
[] s=-1 -> 1/13 : (s'=0) & (o'=1)
+ 1/13 : (s'=1) & (o'=2)
+ 1/13 : (s'=2) & (o'=3)
+ 1/13 : (s'=3) & (o'=2)
+ 1/13 : (s'=4) & (o'=4)
+ 1/13 : (s'=5) & (o'=5)
+ 1/13 : (s'=6) & (o'=5)
+ 1/13 : (s'=7) & (o'=5)
+ 1/13 : (s'=8) & (o'=5)
+ 1/13 : (s'=9) & (o'=5)
+ 1/13 : (s'=10) & (o'=5)
+ 1/13 : (s'=11) & (o'=6)
+ 1/13 : (s'=12) & (o'=6);
[] s=-1 -> 1/13 : (s'=0)
+ 1/13 : (s'=1)
+ 1/13 : (s'=2)
+ 1/13 : (s'=3)
+ 1/13 : (s'=4)
+ 1/13 : (s'=5)
+ 1/13 : (s'=6)
+ 1/13 : (s'=7)
+ 1/13 : (s'=8)
+ 1/13 : (s'=9)
+ 1/13 : (s'=10)
+ 1/13 : (s'=11)
+ 1/13 : (s'=12);
// moving around the maze
[east] s=0 -> (s'=1) & (o'=2);
[west] s=0 -> (s'=0);
[north] s=0 -> (s'=0);
[south] s=0 -> (s'=5) & (o'=5);
[east] s=1 -> (s'=2) & (o'=3);
[west] s=1 -> (s'=0) & (o'=1);
[north] s=1 -> (s'=1);
[south] s=1 -> (s'=1);
[east] s=2 -> (s'=3) & (o'=2);
[west] s=2 -> (s'=1) & (o'=2);
[north] s=2 -> (s'=2);
[south] s=2 -> (s'=6) & (o'=5);
[east] s=3 -> (s'=4) & (o'=4);
[west] s=3 -> (s'=2) & (o'=2);
[north] s=3 -> (s'=3);
[south] s=3 -> (s'=3);
[east] s=4 -> (s'=4);
[west] s=4 -> (s'=3) & (o'=2);
[north] s=4 -> (s'=4);
[south] s=4 -> (s'=7) & (o'=5);
[east] s=5 -> (s'=5);
[west] s=5 -> (s'=5);
[north] s=5 -> (s'=0) & (o'=1);
[east] s=0 -> (s'=1);
[south] s=0 -> (s'=5);
[east] s=1 -> (s'=2);
[west] s=1 -> (s'=0);
[east] s=2 -> (s'=3);
[west] s=2 -> (s'=1);
[south] s=2 -> (s'=6);
[east] s=3 -> (s'=4);
[west] s=3 -> (s'=2);
[west] s=4 -> (s'=3);
[south] s=4 -> (s'=7);
[north] s=5 -> (s'=0);
[south] s=5 -> (s'=8);
[east] s=6 -> (s'=6);
[west] s=6 -> (s'=6);
[north] s=6 -> (s'=2) & (o'=3);
[north] s=6 -> (s'=2);
[south] s=6 -> (s'=9);
[east] s=7 -> (s'=7);
[west] s=7 -> (s'=7);
[north] s=7 -> (s'=4) & (o'=4);
[north] s=7 -> (s'=4);
[south] s=7 -> (s'=10);
[east] s=8 -> (s'=8);
[west] s=8 -> (s'=8);
[north] s=8 -> (s'=5);
[south] s=8 -> (s'=11) & (o'=6);
[south] s=8 -> (s'=11);
[east] s=9 -> (s'=9);
[west] s=9 -> (s'=9);
[north] s=9 -> (s'=6);
[south] s=9 -> (s'=13) & (o'=7);
[south] s=9 -> (s'=13);
[east] s=10 -> (s'=9);
[west] s=10 -> (s'=9);
[north] s=10 -> (s'=7);
[south] s=10 -> (s'=12) & (o'=6);
[south] s=10 -> (s'=12);
[east] s=11 -> (s'=11);
[west] s=11 -> (s'=11);
[north] s=11 -> (s'=8) & (o'=5);
[south] s=11 -> (s'=11);
[north] s=11 -> (s'=8);
[east] s=12 -> (s'=12);
[west] s=12 -> (s'=12);
[north] s=12 -> (s'=10) & (o'=5);
[south] s=12 -> (s'=12);
[north] s=12 -> (s'=10);
// loop when we reach the target
[done] s=13 -> true;
@ -130,6 +96,3 @@ rewards
[south] true : 1;
endrewards
// target observation
label "target" = o=7;

2
prism-tests/functionality/verify/pomdps/maze2.prism.props
View File

@ -1,3 +1,3 @@
// Minimum expected number of steps to reach the target
// RESULT: [5.199999938461538,5.230769230769232] (grid resolution 20)
// RESULT: [5.69230763076923,5.692307692307692] (grid resolution 20)
Rmin=? [ F "target" ]

1
prism-tests/functionality/verify/pomdps/maze2.prism.props.args
View File

@ -0,0 +1 @@
-gridresolution 20
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