// 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