You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
40 lines
961 B
40 lines
961 B
// herman's self stabilising algorithm [Her90]
|
|
// gxn/dxp 13/07/02
|
|
|
|
// the procotol is synchronous with no non-determinism (a DTMC)
|
|
dtmc
|
|
|
|
// module for process 1
|
|
module process1
|
|
|
|
// Boolean variable for process 1
|
|
x1 : [0..1];
|
|
|
|
[step] (x1=x9) -> 0.5 : (x1'=0) + 0.5 : (x1'=1);
|
|
[step] !(x1=x9) -> (x1'=x9);
|
|
|
|
endmodule
|
|
|
|
// add further processes through renaming
|
|
module process2 = process1[x1=x2, x9=x1 ] endmodule
|
|
module process3 = process1[x1=x3, x9=x2 ] endmodule
|
|
module process4 = process1[x1=x4, x9=x3 ] endmodule
|
|
module process5 = process1[x1=x5, x9=x4 ] endmodule
|
|
module process6 = process1[x1=x6, x9=x5 ] endmodule
|
|
module process7 = process1[x1=x7, x9=x6 ] endmodule
|
|
module process8 = process1[x1=x8, x9=x7 ] endmodule
|
|
module process9 = process1[x1=x9, x9=x8 ] endmodule
|
|
|
|
// cost - 1 in each state (expected steps)
|
|
rewards
|
|
|
|
true : 1;
|
|
|
|
endrewards
|
|
|
|
// any initial state (consider any possible initial configuration of tokens)
|
|
init
|
|
|
|
true
|
|
|
|
endinit
|