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52 lines
1.6 KiB
52 lines
1.6 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=x21) -> 0.5 : (x1'=0) + 0.5 : (x1'=1);
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[step] !(x1=x21) -> (x1'=x21);
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endmodule
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// add further processes through renaming
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module process2 = process1[x1=x2, x21=x1 ] endmodule
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module process3 = process1[x1=x3, x21=x2 ] endmodule
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module process4 = process1[x1=x4, x21=x3 ] endmodule
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module process5 = process1[x1=x5, x21=x4 ] endmodule
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module process6 = process1[x1=x6, x21=x5 ] endmodule
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module process7 = process1[x1=x7, x21=x6 ] endmodule
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module process8 = process1[x1=x8, x21=x7 ] endmodule
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module process9 = process1[x1=x9, x21=x8 ] endmodule
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module process10 = process1[x1=x10, x21=x9 ] endmodule
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module process11 = process1[x1=x11, x21=x10 ] endmodule
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module process12 = process1[x1=x12, x21=x11 ] endmodule
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module process13 = process1[x1=x13, x21=x12 ] endmodule
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module process14 = process1[x1=x14, x21=x13 ] endmodule
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module process15 = process1[x1=x15, x21=x14 ] endmodule
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module process16 = process1[x1=x16, x21=x15 ] endmodule
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module process17 = process1[x1=x17, x21=x16 ] endmodule
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module process18 = process1[x1=x18, x21=x17 ] endmodule
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module process19 = process1[x1=x19, x21=x18 ] endmodule
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module process20 = process1[x1=x20, x21=x19 ] endmodule
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module process21 = process1[x1=x21, x21=x20 ] 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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