You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
12 lines
1.5 KiB
12 lines
1.5 KiB
// constant used for time bounded until and for specifying a subset of initial states
|
|
const int k;
|
|
// a stable state is reached with probability 1
|
|
P>=1 [ true U (p11=p1?1:0)+(p1=p2?1:0)+(p2=p3?1:0)+(p3=p4?1:0)+(p4=p5?1:0)+(p5=p6?1:0)+(p6=p7?1:0)+(p7=p8?1:0)+(p8=p9?1:0)+(p9=p10?1:0)+(p10=p11?1:0)=1 ]
|
|
// minimum probability a stable state is reached within k steps
|
|
Pmin=? [ true U<=k (p11=p1?1:0)+(p1=p2?1:0)+(p2=p3?1:0)+(p3=p4?1:0)+(p4=p5?1:0)+(p5=p6?1:0)+(p6=p7?1:0)+(p7=p8?1:0)+(p8=p9?1:0)+(p9=p10?1:0)+(p10=p11?1:0)=1 {"init"}{min} ]
|
|
// maximum expected time to reach a stable state
|
|
Rmax=? [ F (p11=p1?1:0)+(p1=p2?1:0)+(p2=p3?1:0)+(p3=p4?1:0)+(p4=p5?1:0)+(p5=p6?1:0)+(p6=p7?1:0)+(p7=p8?1:0)+(p8=p9?1:0)+(p9=p10?1:0)+(p10=p11?1:0)=1 {"init"}{max} ]
|
|
// maximum expected time to reach a stable state
|
|
Rmax=? [ F (p11=p1?1:0)+(p1=p2?1:0)+(p2=p3?1:0)+(p3=p4?1:0)+(p4=p5?1:0)+(p5=p6?1:0)+(p6=p7?1:0)+(p7=p8?1:0)+(p8=p9?1:0)+(p9=p10?1:0)+(p10=p11?1:0)=1 {(p11=p1?1:0)+(p1=p2?1:0)+(p2=p3?1:0)+(p3=p4?1:0)+(p4=p5?1:0)+(p5=p6?1:0)+(p6=p7?1:0)+(p7=p8?1:0)+(p8=p9?1:0)+(p9=p10?1:0)+(p10=p11?1:0)=k}{max} ]
|
|
// minimum expected time to reach a stable state for a subset of initial states
|
|
Rmin=? [ F (p11=p1?1:0)+(p1=p2?1:0)+(p2=p3?1:0)+(p3=p4?1:0)+(p4=p5?1:0)+(p5=p6?1:0)+(p6=p7?1:0)+(p7=p8?1:0)+(p8=p9?1:0)+(p9=p10?1:0)+(p10=p11?1:0)=1 {(p11=p1?1:0)+(p1=p2?1:0)+(p2=p3?1:0)+(p3=p4?1:0)+(p4=p5?1:0)+(p5=p6?1:0)+(p6=p7?1:0)+(p7=p8?1:0)+(p8=p9?1:0)+(p9=p10?1:0)+(p10=p11?1:0)=k}{min} ]
|