Browse Source
Herman missing for N=9.
Herman missing for N=9.
git-svn-id: https://www.prismmodelchecker.org/svn/prism/prism/trunk@499 bbc10eb1-c90d-0410-af57-cb519fbb1720master
2 changed files with 41 additions and 50 deletions
-
2prism-examples/self-stabilisation/herman/.autopp
-
89prism-examples/self-stabilisation/herman/herman9.pm
@ -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 |
|||
|
|||
@ -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); |
|||
Write
Preview
Loading…
Cancel
Save
Reference in new issue