// 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 (p3=p1?1:0)+(p1=p2?1:0)+(p2=p3?1:0)=1 ] // minimum probability a stable state is reached within k steps Pmin=? [ true U<=k (p3=p1?1:0)+(p1=p2?1:0)+(p2=p3?1:0)=1 {"init"}{min} ] // maximum expected time to reach a stable state Rmax=? [ F (p3=p1?1:0)+(p1=p2?1:0)+(p2=p3?1:0)=1 {"init"}{max} ] // maximum expected time to reach a stable state Rmax=? [ F (p3=p1?1:0)+(p1=p2?1:0)+(p2=p3?1:0)=1 {(p3=p1?1:0)+(p1=p2?1:0)+(p2=p3?1:0)=k}{max} ] // minimum expected time to reach a stable state for a subset of initial states Rmin=? [ F (p3=p1?1:0)+(p1=p2?1:0)+(p2=p3?1:0)=1 {(p3=p1?1:0)+(p1=p2?1:0)+(p2=p3?1:0)=k}{min} ]