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// self stabilisation algorithm Beauquier, Gradinariu and Johnen
// gxn/dxp 18/07/02
// model is an mdp
nondeterministic
// module of process 1
module process1
d1 : bool; // probabilistic variable
p1 : bool; // deterministic variable
[] d1=d3 & p1=p3 -> 0.5 : (d1'=!d1) & (p1'=p1) + 0.5 : (d1'=!d1) & (p1'=!p1);
[] d1=d3 & !p1=p3 -> (d1'=!d1);
endmodule
// add further processes through renaming
module process2 =process1[p1=p2 ,p3=p1, d1=d2 ,d3=d1] endmodule
module process3 =process1[p1=p3 ,p3=p2, d1=d3 ,d3=d2] endmodule
// cost in any state is 1 (expected number of steps)
rewards
true : 1;
endrewards
// initial states - any state with more than 1 token, that is all states
init
true
endinit