const int L; // discrete time bound label "trying" =((p1>0) & (p1<8)) | ((p2>0) & (p2<8)) | ((p3>0) & (p3<8)); // philosopher in its trying region label "entered" =((p1>7) & (p1<13)) | ((p2>7) & (p2<13)) | ((p3>7) & (p3<13)); // philosopher in its critical section // lockout free "trying" => P>=1 [ true U "entered" ] // bounded until: minimum probability (from a state where a process is in its trying region) that some process enters its critical section within k steps Pmin=? [ true U<=L "entered" {"trying"}{min} ] // expected time: maximum expected time (from a state where a process is in its trying region) that some process enters its critical section Rmax=? [ F "entered" {"trying"}{max} ]