The source code and dockerfile for the GSW2024 AI Lab.
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// Variation to Knuth's model of a fair die using only fair coins mdp
module die
// local state s : [0..7] init 0; // value of the dice d : [0..6] init 0; [fair] s=0 -> 0.5 : (s'=1) + 0.5 : (s'=2); [ufair1] s=0 -> 0.6 : (s'=1) + 0.4 : (s'=2); [ufair2] s=0 -> 0.7 : (s'=1) + 0.3 : (s'=2); [fair] s=1 -> 0.5 : (s'=3) + 0.5 : (s'=4); [ufair1] s=1 -> 0.6 : (s'=3) + 0.4 : (s'=4); [ufair2] s=1 -> 0.7 : (s'=3) + 0.3 : (s'=4); [fair] s=2 -> 0.5 : (s'=5) + 0.5 : (s'=6); [ufair1] s=2 -> 0.6 : (s'=5) + 0.4 : (s'=6); [ufair2] s=2 -> 0.7 : (s'=5) + 0.3 : (s'=6); [fair] s=3 -> 0.5 : (s'=1) + 0.5 : (s'=7) & (d'=1); [ufair1] s=3 -> 0.6 : (s'=1) + 0.4 : (s'=7) & (d'=1); [ufair2] s=3 -> 0.7 : (s'=1) + 0.3 : (s'=7) & (d'=1); [fair] s=4 -> 0.5 : (s'=7) & (d'=2) + 0.5 : (s'=7) & (d'=3); [ufair1] s=4 -> 0.6 : (s'=7) & (d'=2) + 0.4 : (s'=7) & (d'=3); [ufair2] s=4 -> 0.7 : (s'=7) & (d'=2) + 0.3 : (s'=7) & (d'=3); [fair] s=5 -> 0.5 : (s'=7) & (d'=4) + 0.5 : (s'=7) & (d'=5); [ufair1] s=5 -> 0.6 : (s'=7) & (d'=4) + 0.4 : (s'=7) & (d'=5); [ufair2] s=5 -> 0.7 : (s'=7) & (d'=4) + 0.3 : (s'=7) & (d'=5); [fair] s=6 -> 0.5 : (s'=2) + 0.5 : (s'=7) & (d'=6); [ufair1] s=6 -> 0.6 : (s'=2) + 0.4 : (s'=7) & (d'=6); [ufair2] s=6 -> 0.7 : (s'=2) + 0.3 : (s'=7) & (d'=6); [] s=7 -> 1: (s'=7); endmodule
rewards "coin_flips" [fair] s<7 : 1; [ufair1] s<7 : 1; [ufair2] 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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