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// Knuth's model of a fair die using only fair coinsmdp
module die
// local state s : [0..7] init 0; // value of the dice d : [0..6] init 0; [a] s=0 -> 0.5 : (s'=1) + 0.5 : (s'=2); [b] s=0 -> 0.2 : (s'=1) + 0.8 : (s'=2); [] s=1 -> 0.5 : (s'=3) + 0.5 : (s'=4); [] s=2 -> 0.5 : (s'=5) + 0.5 : (s'=6); [] s=3 -> 0.5 : (s'=1) + 0.5 : (s'=7) & (d'=1); [] s=4 -> 0.5 : (s'=7) & (d'=2) + 0.5 : (s'=7) & (d'=3); [] s=5 -> 0.5 : (s'=7) & (d'=4) + 0.5 : (s'=7) & (d'=5); [] s=6 -> 0.5 : (s'=2) + 0.5 : (s'=7) & (d'=6); [] s=7 -> 1: (s'=7); endmodule
rewards "coin_flips" [] s<7 : 1;endrewards
label "one" = s=7&d=1;label "two" = s=7&d=2;label "three" = s=7&d=3;label "four" = s=7&d=4;label "five" = s=7&d=5;label "six" = s=7&d=6;label "done" = s=7;
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