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// Israeli-Jalfon algorithm
// dxp/gxn 10/06/02
// token of size 4
nondeterministic
// variables to represent whether a process has a token or not
// note they are global because they can be updated by other processes
global q1 : [0..1];
global q2 : [0..1];
global q3 : [0..1];
global q4 : [0..1];
// module of process 1
module process1
[] (q1=1) -> 0.5 : (q1'=0) & (q4'=1) + 0.5 : (q1'=0) & (q2'=1);
endmodule
// add further processes through renaming
module process2 =process1[q1=q2 ,q2=q3, q4=q1] endmodule
module process3 =process1[q1=q3 ,q2=q4, q4=q2] endmodule
module process4 =process1[q1=q4 ,q2=q1, q4=q3] endmodule
// cost - 1 in each state (expected steps)
rewards
true : 1;
endrewards
// initial states (at least one token)
init
q1+q2+q3+q4>=1
endinit