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models/pomdp/sketches/avoid-smaller-family-trivial/sketch.props
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R{"penalty"}min=? [ F goal ]; |
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models/pomdp/sketches/avoid-smaller-family-trivial/sketch.templ
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pomdp | ||
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// grid dimensions | ||
const int N=5; | ||
const int xMIN = 0; | ||
const int yMIN = 0; | ||
const int xMAX = N-1; | ||
const int yMAX = N-1; | ||
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formula goal = (x=xMAX) & (y=yMAX); | ||
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observable "clk" = clk; | ||
observable "goal" = goal; | ||
observable "see" = see; | ||
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// synchronization | ||
formula clk_next = mod(clk+1,4); | ||
module clk | ||
clk : [-1..3] init -1; | ||
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[place] !goal & clk=-1 -> (clk'=clk_next); | ||
[left] !goal & clk=0 -> (clk'=clk_next); | ||
[right] !goal & clk=0 -> (clk'=clk_next); | ||
[down] !goal & clk=0 -> (clk'=clk_next); | ||
[up] !goal & clk=0 -> (clk'=clk_next); | ||
[wait] !goal & clk=0 -> (clk'=clk_next); | ||
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[o] !goal & clk=1 -> (clk'=clk_next); | ||
[detect1] !goal & clk=2 -> (clk'=clk_next); | ||
[detect2] !goal & clk=3 -> (clk'=clk_next); | ||
endmodule | ||
// agent moving towards the exit | ||
const double slip = 0.0; | ||
module agent | ||
x : [xMIN..xMAX] init xMIN; | ||
y : [yMIN..yMAX] init yMAX; | ||
[left] true -> (1-slip): (x'=max(x-1,xMIN)) + slip: true; | ||
[right] true -> (1-slip): (x'=min(x+1,xMAX)) + slip: true; | ||
[down] true -> (1-slip): (y'=max(y-1,yMIN)) + slip: true; | ||
[up] true -> (1-slip): (y'=min(y+1,yMAX)) + slip: true; | ||
[wait] true -> true; | ||
endmodule | ||
// obstacles oscillating on the x-axis | ||
hole int o1x_init in {1,2}; | ||
hole int o2x_init in {1,2}; | ||
hole int goright1_init in {0,1}; | ||
hole int goright2_init in {0,1}; | ||
hole int o1y in {2,3}; | ||
hole int o2y in {2,3}; | ||
module obstacle1 | ||
o1x : [xMIN..xMAX] init xMIN; | ||
goright1 : bool init true; | ||
[place] true -> (o1x'=o1x_init) & (goright1'=goright1_init=1); | ||
[o] goright1 & o1x < xMAX -> 1/2: (o1x'=min(xMAX,o1x+1)) + 1/2: true; | ||
[o] goright1 & o1x = xMAX -> (goright1'=false); | ||
[o] !goright1 & o1x > xMIN -> 1/2: (o1x'=max(xMIN,o1x-1)) + 1/2: true; | ||
[o] !goright1 & o1x = xMIN -> (goright1'=true); | ||
endmodule | ||
module obstacle2=obstacle1[o1x=o2x,goright1=goright2,o1x_init=o2x_init,goright1_init=goright2_init] endmodule | ||
// obstacle detection | ||
const int RADIUS = 1; | ||
formula see1 = (x-o1x<=RADIUS & o1x-x<=RADIUS) & (y-o1y<=RADIUS & o1y-y<=RADIUS); | ||
formula see2 = (x-o2x<=RADIUS & o2x-x<=RADIUS) & (y-o2y<=RADIUS & o2y-y<=RADIUS); | ||
module scanner | ||
see: bool init false; | ||
[detect1] true -> (see'=see1); | ||
[detect2] true -> (see'=see2); | ||
endmodule | ||
// crash detection | ||
formula at1 = x=o1x & y=o1y; | ||
formula at2 = x=o2x & y=o2y; | ||
module crash1 | ||
crash1 : bool init false; | ||
[detect1] true -> (crash1'=at1); | ||
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[up] true -> (crash1'=false); | ||
[down] true -> (crash1'=false); | ||
[left] true -> (crash1'=false); | ||
[right] true -> (crash1'=false); | ||
[wait] true -> (crash1'=false); | ||
endmodule | ||
module crash2=crash1[crash1=crash2,detect1=detect2,at1=at2] endmodule | ||
formula step_penalty = 1; | ||
formula crash_penalty = 100; | ||
formula num_crashes = (crash1?1:0)+(crash2?1:0); | ||
formula penalty = step_penalty + num_crashes*crash_penalty; | ||
rewards "penalty" | ||
[up] true : penalty; | ||
[down] true : penalty; | ||
[left] true : penalty; | ||
[right] true : penalty; | ||
[wait] true : penalty; | ||
endrewards |
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R{"penalty"}min=? [ F goal ]; |
114 changes: 114 additions & 0 deletions
114
models/pomdp/sketches/avoid-smaller-family/sketch.templ
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@@ -0,0 +1,114 @@ | ||
pomdp | ||
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||
// grid dimensions | ||
const int N=5; | ||
const int xMIN = 0; | ||
const int yMIN = 0; | ||
const int xMAX = N-1; | ||
const int yMAX = N-1; | ||
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formula goal = (x=xMAX) & (y=yMAX); | ||
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observable "clk" = clk; | ||
observable "goal" = goal; | ||
observable "see" = see; | ||
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// synchronization | ||
formula clk_next = mod(clk+1,4); | ||
module clk | ||
clk : [-1..3] init -1; | ||
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[place] !goal & clk=-1 -> (clk'=clk_next); | ||
[left] !goal & clk=0 -> (clk'=clk_next); | ||
[right] !goal & clk=0 -> (clk'=clk_next); | ||
[down] !goal & clk=0 -> (clk'=clk_next); | ||
[up] !goal & clk=0 -> (clk'=clk_next); | ||
[wait] !goal & clk=0 -> (clk'=clk_next); | ||
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[o] !goal & clk=1 -> (clk'=clk_next); | ||
[detect1] !goal & clk=2 -> (clk'=clk_next); | ||
[detect2] !goal & clk=3 -> (clk'=clk_next); | ||
endmodule | ||
// agent moving towards the exit | ||
const double slip = 0.0; | ||
module agent | ||
x : [xMIN..xMAX] init xMIN; | ||
y : [yMIN..yMAX] init yMIN; | ||
[left] true -> (1-slip): (x'=max(x-1,xMIN)) + slip: true; | ||
[right] true -> (1-slip): (x'=min(x+1,xMAX)) + slip: true; | ||
[down] true -> (1-slip): (y'=max(y-1,yMIN)) + slip: true; | ||
[up] true -> (1-slip): (y'=min(y+1,yMAX)) + slip: true; | ||
[wait] true -> true; | ||
endmodule | ||
// obstacles oscillating on the x-axis | ||
hole int o1x_init in {1,2}; | ||
hole int o2x_init in {1,2}; | ||
hole int goright1_init in {0,1}; | ||
hole int goright2_init in {0,1}; | ||
hole int o1y in {2,3}; | ||
hole int o2y in {2,3}; | ||
module obstacle1 | ||
o1x : [xMIN..xMAX] init xMIN; | ||
goright1 : bool init true; | ||
[place] true -> (o1x'=o1x_init) & (goright1'=goright1_init=1); | ||
[o] goright1 & o1x < xMAX -> 1/2: (o1x'=min(xMAX,o1x+1)) + 1/2: true; | ||
[o] goright1 & o1x = xMAX -> (goright1'=false); | ||
[o] !goright1 & o1x > xMIN -> 1/2: (o1x'=max(xMIN,o1x-1)) + 1/2: true; | ||
[o] !goright1 & o1x = xMIN -> (goright1'=true); | ||
endmodule | ||
module obstacle2=obstacle1[o1x=o2x,goright1=goright2,o1x_init=o2x_init,goright1_init=goright2_init] endmodule | ||
// obstacle detection | ||
const int RADIUS = 1; | ||
formula see1 = (x-o1x<=RADIUS & o1x-x<=RADIUS) & (y-o1y<=RADIUS & o1y-y<=RADIUS); | ||
formula see2 = (x-o2x<=RADIUS & o2x-x<=RADIUS) & (y-o2y<=RADIUS & o2y-y<=RADIUS); | ||
module scanner | ||
see: bool init false; | ||
[detect1] true -> (see'=see1); | ||
[detect2] true -> (see'=see2); | ||
endmodule | ||
// crash detection | ||
formula at1 = x=o1x & y=o1y; | ||
formula at2 = x=o2x & y=o2y; | ||
module crash1 | ||
crash1 : bool init false; | ||
[detect1] true -> (crash1'=at1); | ||
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[up] true -> (crash1'=false); | ||
[down] true -> (crash1'=false); | ||
[left] true -> (crash1'=false); | ||
[right] true -> (crash1'=false); | ||
[wait] true -> (crash1'=false); | ||
endmodule | ||
module crash2=crash1[crash1=crash2,detect1=detect2,at1=at2] endmodule | ||
formula step_penalty = 1; | ||
formula crash_penalty = 100; | ||
formula num_crashes = (crash1?1:0)+(crash2?1:0); | ||
formula penalty = step_penalty + num_crashes*crash_penalty; | ||
rewards "penalty" | ||
[up] true : penalty; | ||
[down] true : penalty; | ||
[left] true : penalty; | ||
[right] true : penalty; | ||
[wait] true : penalty; | ||
endrewards |
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R{"penalty"}min=? [ F goal ]; |
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@@ -0,0 +1,114 @@ | ||
pomdp | ||
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||
// grid dimensions | ||
const int N=5; | ||
const int xMIN = 0; | ||
const int yMIN = 0; | ||
const int xMAX = N-1; | ||
const int yMAX = N-1; | ||
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formula goal = (x=xMAX) & (y=yMAX); | ||
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observable "clk" = clk; | ||
observable "goal" = goal; | ||
observable "see" = see; | ||
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// synchronization | ||
formula clk_next = mod(clk+1,4); | ||
module clk | ||
clk : [-1..3] init -1; | ||
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[place] !goal & clk=-1 -> (clk'=clk_next); | ||
[left] !goal & clk=0 -> (clk'=clk_next); | ||
[right] !goal & clk=0 -> (clk'=clk_next); | ||
[down] !goal & clk=0 -> (clk'=clk_next); | ||
[up] !goal & clk=0 -> (clk'=clk_next); | ||
[wait] !goal & clk=0 -> (clk'=clk_next); | ||
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[o] !goal & clk=1 -> (clk'=clk_next); | ||
[detect1] !goal & clk=2 -> (clk'=clk_next); | ||
[detect2] !goal & clk=3 -> (clk'=clk_next); | ||
endmodule | ||
// agent moving towards the exit | ||
const double slip = 0.0; | ||
module agent | ||
x : [xMIN..xMAX] init xMIN; | ||
y : [yMIN..yMAX] init yMAX; | ||
[left] true -> (1-slip): (x'=max(x-1,xMIN)) + slip: true; | ||
[right] true -> (1-slip): (x'=min(x+1,xMAX)) + slip: true; | ||
[down] true -> (1-slip): (y'=max(y-1,yMIN)) + slip: true; | ||
[up] true -> (1-slip): (y'=min(y+1,yMAX)) + slip: true; | ||
[wait] true -> true; | ||
endmodule | ||
// obstacles oscillating on the x-axis | ||
hole int o1x_init in {0,1,2,3,4}; | ||
hole int o2x_init in {0,1,2,3,4}; | ||
hole int goright1_init in {0,1}; | ||
hole int goright2_init in {0,1}; | ||
hole int o1y in {1,2,3,4}; | ||
hole int o2y in {1,2,3,4}; | ||
module obstacle1 | ||
o1x : [xMIN..xMAX] init xMIN; | ||
goright1 : bool init true; | ||
[place] true -> (o1x'=o1x_init) & (goright1'=goright1_init=1); | ||
[o] goright1 & o1x < xMAX -> 1/2: (o1x'=min(xMAX,o1x+1)) + 1/2: true; | ||
[o] goright1 & o1x = xMAX -> (goright1'=false); | ||
[o] !goright1 & o1x > xMIN -> 1/2: (o1x'=max(xMIN,o1x-1)) + 1/2: true; | ||
[o] !goright1 & o1x = xMIN -> (goright1'=true); | ||
endmodule | ||
module obstacle2=obstacle1[o1x=o2x,goright1=goright2,o1x_init=o2x_init,goright1_init=goright2_init] endmodule | ||
// obstacle detection | ||
const int RADIUS = 1; | ||
formula see1 = (x-o1x<=RADIUS & o1x-x<=RADIUS) & (y-o1y<=RADIUS & o1y-y<=RADIUS); | ||
formula see2 = (x-o2x<=RADIUS & o2x-x<=RADIUS) & (y-o2y<=RADIUS & o2y-y<=RADIUS); | ||
module scanner | ||
see: bool init false; | ||
[detect1] true -> (see'=see1); | ||
[detect2] true -> (see'=see2); | ||
endmodule | ||
// crash detection | ||
formula at1 = x=o1x & y=o1y; | ||
formula at2 = x=o2x & y=o2y; | ||
module crash1 | ||
crash1 : bool init false; | ||
[detect1] true -> (crash1'=at1); | ||
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[up] true -> (crash1'=false); | ||
[down] true -> (crash1'=false); | ||
[left] true -> (crash1'=false); | ||
[right] true -> (crash1'=false); | ||
[wait] true -> (crash1'=false); | ||
endmodule | ||
module crash2=crash1[crash1=crash2,detect1=detect2,at1=at2] endmodule | ||
formula step_penalty = 1; | ||
formula crash_penalty = 100; | ||
formula num_crashes = (crash1?1:0)+(crash2?1:0); | ||
formula penalty = step_penalty + num_crashes*crash_penalty; | ||
rewards "penalty" | ||
[up] true : penalty; | ||
[down] true : penalty; | ||
[left] true : penalty; | ||
[right] true : penalty; | ||
[wait] true : penalty; | ||
endrewards |
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