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42 lines
1.1 KiB
42 lines
1.1 KiB
// herman's self stabilising algorithm [Her90]
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// gxn/dxp 13/07/02
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// the procotol is synchronous with no non-determinism (a DTMC)
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probabilistic
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// module for process 1
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module process1
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// bits in the ring (initially all the same i.e. a token in every place)
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x1 : [0..1];
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[step] (x1=x11) -> 0.5 : (x1'=0) + 0.5 : (x1'=1);
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[step] !x1=x11 -> (x1'=x11);
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endmodule
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// add further processes through renaming
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module process2 = process1[x1=x2, x11=x1 ] endmodule
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module process3 = process1[x1=x3, x11=x2 ] endmodule
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module process4 = process1[x1=x4, x11=x3 ] endmodule
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module process5 = process1[x1=x5, x11=x4 ] endmodule
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module process6 = process1[x1=x6, x11=x5 ] endmodule
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module process7 = process1[x1=x7, x11=x6 ] endmodule
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module process8 = process1[x1=x8, x11=x7 ] endmodule
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module process9 = process1[x1=x9, x11=x8 ] endmodule
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module process10 = process1[x1=x10, x11=x9 ] endmodule
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module process11 = process1[x1=x11, x11=x10 ] endmodule
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// cost - 1 in each state (expected steps)
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rewards
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true : 1;
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endrewards
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// initial states (at least one token i.e. all states)
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init
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true
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endinit
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