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46 lines
1.3 KiB
46 lines
1.3 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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dtmc
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// module for process 1
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module process1
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// Boolean variable for process 1
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x1 : [0..1];
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[step] (x1=x15) -> 0.5 : (x1'=0) + 0.5 : (x1'=1);
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[step] !(x1=x15) -> (x1'=x15);
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endmodule
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// add further processes through renaming
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module process2 = process1[x1=x2, x15=x1 ] endmodule
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module process3 = process1[x1=x3, x15=x2 ] endmodule
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module process4 = process1[x1=x4, x15=x3 ] endmodule
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module process5 = process1[x1=x5, x15=x4 ] endmodule
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module process6 = process1[x1=x6, x15=x5 ] endmodule
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module process7 = process1[x1=x7, x15=x6 ] endmodule
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module process8 = process1[x1=x8, x15=x7 ] endmodule
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module process9 = process1[x1=x9, x15=x8 ] endmodule
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module process10 = process1[x1=x10, x15=x9 ] endmodule
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module process11 = process1[x1=x11, x15=x10 ] endmodule
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module process12 = process1[x1=x12, x15=x11 ] endmodule
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module process13 = process1[x1=x13, x15=x12 ] endmodule
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module process14 = process1[x1=x14, x15=x13 ] endmodule
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module process15 = process1[x1=x15, x15=x14 ] 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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// any initial state (consider any possible initial configuration of tokens)
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init
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true
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endinit
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