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// Simple CTMP from Neuhausser thesis defence slides (2010)
// For max prob of reaching target within time bound 1,
// exact answer is 1 + 19/24 e^-3 - 3/2 e^-1 = (approx.) 0.48759
// discretisation (k = 4500, tau = 0.0002222...) gives 0.487552953296395
mdp
module M
s : [0..3];
[a] s=0 -> 1 : (s'=2) + 2 : (s'=3);
[b] s=0 -> 3 : (s'=1);
[b] s=1 -> 1 : (s'=2);
[c] s>1 -> 1 : true;
endmodule
label "target" = s=2;