WORST_CASE(Omega(0),?) Initial ITS Start location: l4 0: l0 -> l1 : i^0'=i^post0, tmp1^0'=tmp1^post0, tmp3^0'=tmp3^post0, j^0'=j^post0, tmp2^0'=tmp2^post0, (tmp3^0-tmp3^post0 == 0 /\ i^0-i^post0 == 0 /\ -tmp2^post0+tmp2^0 == 0 /\ -j^post0+j^0 == 0 /\ tmp1^0-tmp1^post0 == 0), cost: 1 1: l2 -> l0 : i^0'=i^post1, tmp1^0'=tmp1^post1, tmp3^0'=tmp3^post1, j^0'=j^post1, tmp2^0'=tmp2^post1, (-tmp3^post1+tmp3^0 == 0 /\ i^0-i^post1 == 0 /\ j^0-j^post1 == 0 /\ -tmp2^post1+tmp2^0 == 0 /\ -tmp1^post1+tmp1^0 == 0), cost: 1 2: l2 -> l0 : i^0'=i^post2, tmp1^0'=tmp1^post2, tmp3^0'=tmp3^post2, j^0'=j^post2, tmp2^0'=tmp2^post2, (i^0-i^post2 == 0 /\ -j^post2+j^0 == 0 /\ -tmp3^post2+tmp3^0 == 0 /\ tmp1^0-tmp1^post2 == 0 /\ -tmp2^post2+tmp2^0 == 0), cost: 1 3: l3 -> l2 : i^0'=i^post3, tmp1^0'=tmp1^post3, tmp3^0'=tmp3^post3, j^0'=j^post3, tmp2^0'=tmp2^post3, (0 == 0 /\ i^post3 == 0 /\ -1+j^post3 == 0), cost: 1 4: l4 -> l3 : i^0'=i^post4, tmp1^0'=tmp1^post4, tmp3^0'=tmp3^post4, j^0'=j^post4, tmp2^0'=tmp2^post4, (-tmp2^post4+tmp2^0 == 0 /\ -tmp3^post4+tmp3^0 == 0 /\ -j^post4+j^0 == 0 /\ i^0-i^post4 == 0 /\ tmp1^0-tmp1^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