More POMDP tests.

prism-tests/functionality/verify/pomdps/guess-multi.prism

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+pomdp
+
+const int N;
+
+module M
+
+	s : [0..2]; // state
+	h : [0..3]; // hidden var
+	g : [0..N] init N; // num guesses left
+
+	[toss] s=0 -> 0.1:(s'=1)&(h'=1) + 0.3:(s'=1)&(h'=2) + 0.6:(s'=1)&(h'=3);
+	[guess1] s=1&g>0 -> (s'=(h=1)?2:s) & (g'=g-1);
+	[guess2] s=1&g>0 -> (s'=(h=2)?2:s) & (g'=g-1);
+	[guess3] s=1&g>0 -> (s'=(h=3)?2:s) & (g'=g-1);
+	[timeup] s=1&g=0 -> (s'=3);
+	[loop] s=2 -> true;
+
+endmodule
+
+observables s, g endobservables
+
+label "correct" = s=2;
+
+rewards "guesses"
+	[guess1] true : 1;
+	[guess2] true : 1;
+	[guess3] true : 1;
+endrewards
+

prism-tests/functionality/verify/pomdps/guess-multi.prism.props

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+// RESULT (N=1): 0.6
+// RESULT (N=2): 0.9
+// RESULT (N=3): 1.0
+// RESULT (N=4): 1.0
+Pmax=? [ F "correct" ];

prism-tests/functionality/verify/pomdps/guess-multi.prism.props.args

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+-const N=1
+-const N=2
+-const N=3
+-const N=4

prism-tests/functionality/verify/pomdps/guess.prism

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+pomdp
+
+const double p = 0.2;
+
+module M
+
+	s : [0..2]; // state
+	h : [0..3]; // hidden var
+
+	[toss] s=0 -> 0.1:(s'=1)&(h'=1) + 0.3:(s'=1)&(h'=2) + 0.6:(s'=1)&(h'=3);
+	//[loop] s=0 -> true; // uncommenting this gives bad bounds
+	[guess1] s=1 -> (s'=(h=1)?2:3);
+	[guess2] s=1 -> (s'=(h=2)?2:3);
+	[guess3] s=1 -> (s'=(h=3)?2:3);
+	[loop] s=2 -> true;
+
+endmodule
+
+observables s endobservables
+
+label "correct" = s=2;
+
+rewards "guesses"
+	[guess1] true : 1;
+	[guess2] true : 1;
+	[guess3] true : 1;
+endrewards
+

prism-tests/functionality/verify/pomdps/guess.prism.props

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+// RESULT: 0.6
+Pmax=? [ F "correct" ];