WORST_CASE(Omega(0),?) Initial ITS Start location: l4 0: l0 -> l1 : i^0'=i^post0, tmp^0'=tmp^post0, j^0'=j^post0, (i^0-i^post0 == 0 /\ tmp^0-tmp^post0 == 0 /\ -j^post0+j^0 == 0), cost: 1 1: l0 -> l1 : i^0'=i^post1, tmp^0'=tmp^post1, j^0'=j^post1, (tmp^0-tmp^post1 == 0 /\ i^0-i^post1 == 0 /\ j^0-j^post1 == 0), cost: 1 2: l1 -> l2 : i^0'=i^post2, tmp^0'=tmp^post2, j^0'=j^post2, (tmp^0-tmp^post2 == 0 /\ j^0-j^post2 == 0 /\ i^0-i^post2 == 0), cost: 1 3: l3 -> l0 : i^0'=i^post3, tmp^0'=tmp^post3, j^0'=j^post3, (0 == 0 /\ i^post3 == 0 /\ -1+j^post3 == 0), cost: 1 4: l4 -> l3 : i^0'=i^post4, tmp^0'=tmp^post4, j^0'=j^post4, (tmp^0-tmp^post4 == 0 /\ j^0-j^post4 == 0 /\ i^0-i^post4 == 0), cost: 1 Removed unreachable rules and leafs Start location: l4 Computing asymptotic complexity Proved the following lower bound Complexity: Unknown Cpx degree: ? Solved cost: 0 Rule cost: 0