Created
March 27, 2010 03:33
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ctmc | |
formula blank = 0; | |
formula player_x = 1; | |
formula player_o = 2; | |
global next : [player_x..player_o] init player_x; | |
formula change_next = next = player_x ? player_o : player_x; | |
module tictactoe | |
x1 : [0..2] init blank; | |
x2 : [0..2] init blank; | |
x3 : [0..2] init blank; | |
y1 : [0..2] init blank; | |
y2 : [0..2] init blank; | |
y3 : [0..2] init blank; | |
z1 : [0..2] init blank; | |
z2 : [0..2] init blank; | |
z3 : [0..2] init blank; | |
// A normal player will usually mark the center if it's blank | |
[] y2 = blank -> 100.0:(y2' = next)&(next' = change_next); | |
[] x1 = blank -> (x1' = next)&(next' = change_next); | |
[] x2 = blank -> (x2' = next)&(next' = change_next); | |
[] x3 = blank -> (x3' = next)&(next' = change_next); | |
[] y1 = blank -> (y1' = next)&(next' = change_next); | |
[] y3 = blank -> (y3' = next)&(next' = change_next); | |
[] z1 = blank -> (z1' = next)&(next' = change_next); | |
[] z2 = blank -> (z2' = next)&(next' = change_next); | |
[] z3 = blank -> (z3' = next)&(next' = change_next); | |
endmodule | |
label "win" = | |
(x1 = x2 & x2 = x3 & x3 != blank) | | |
(y1 = y2 & y2 = y3 & y3 != blank) | | |
(z1 = z2 & z2 = z3 & z3 != blank) | | |
(x1 = y1 & y1 = z1 & z1 != blank) | | |
(x2 = y2 & y2 = z2 & z2 != blank) | | |
(x3 = y3 & y3 = z3 & z3 != blank) | | |
(x1 = y2 & y2 = z3 & z3 != blank) | | |
(x3 = y2 & y2 = z1 & z1 != blank); |
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