YES(?, 1) Initial complexity problem: 1: T: (1, 1) f0(a, b) -> f1(3000, b) (?, 1) f1(a, b) -> f1(a, b + 1000) [ b + 889 >= 0 /\ 1999 >= a ] start location: f0 leaf cost: 0 Testing for reachability in the complexity graph removes the following transition from problem 1: f1(a, b) -> f1(a, b + 1000) [ b + 889 >= 0 /\ 1999 >= a ] We thus obtain the following problem: 2: T: (1, 1) f0(a, b) -> f1(3000, b) start location: f0 leaf cost: 0 Complexity upper bound 1 Time: 0.017 sec (SMT: 0.016 sec)