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Herman missing for N=9.

git-svn-id: https://www.prismmodelchecker.org/svn/prism/prism/trunk@499 bbc10eb1-c90d-0410-af57-cb519fbb1720
master
Dave Parker 18 years ago
parent
commit
85a95f863b
  1. 2
      prism-examples/self-stabilisation/herman/.autopp
  2. 89
      prism-examples/self-stabilisation/herman/herman9.pm

2
prism-examples/self-stabilisation/herman/.autopp

@ -1,6 +1,6 @@
#!/bin/csh
foreach N ( 3 5 7 11 13 15 17 19 21 )
foreach N ( 3 5 7 9 11 13 15 17 19 21 )
echo "Generating for N=$N"
prismpp .hermanN.pm.pp $N >! herman$N.pm
unix2dos herman$N.pm

89
prism-examples/self-stabilisation/herman/herman9.pm

@ -1,49 +1,40 @@
// 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
// cost - 1 in each state (expected number of steps)
rewards
true : 1;
endrewards
// set of initial states: all (i.e. any possible initial configuration of tokens)
init
true
endinit
// formula for use in properties: number of tokens
// (i.e. number of processes whose variable has the same value as that of the process to their left)
formula num_tokens = (x1=x2?1:0)+(x2=x3?1:0)+(x3=x4?1:0)+(x4=x5?1:0)+(x5=x6?1:0)+(x6=x7?1:0)+(x7=x8?1:0)+(x8=x9?1:0)+(x9=x1?1:0);
// herman's self stabilising algorithm [Her90]
// gxn/dxp 13/07/02
// the procotol is synchronous with no nondeterminism (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 number of steps)
rewards "steps"
true : 1;
endrewards
// set of initial states: all (i.e. any possible initial configuration of tokens)
init
true
endinit
// formula, for use in properties: number of tokens
// (i.e. number of processes that have the same value as the process to their left)
formula num_tokens = (x1=x2?1:0)+(x2=x3?1:0)+(x3=x4?1:0)+(x4=x5?1:0)+(x5=x6?1:0)+(x6=x7?1:0)+(x7=x8?1:0)+(x8=x9?1:0)+(x9=x1?1:0);
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