WORST_CASE(Omega(1),?) ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: l2 0: l0 -> l1 : i^0'=i^post_1, tmp10^0'=tmp10^post_1, tmp13^0'=tmp13^post_1, tmp___011^0'=tmp___011^post_1, tmp___014^0'=tmp___014^post_1, [ i^1_1==0 && tmp10^post_1==i^1_1 && i^2_1==1+i^1_1 && tmp___011^post_1==i^2_1 && i^3_1==1+i^2_1 && tmp13^post_1==i^3_1 && i^4_1==1+i^3_1 && tmp___014^post_1==i^4_1 && i^post_1==1+i^4_1 ], cost: 1 1: l2 -> l0 : i^0'=i^post_2, tmp10^0'=tmp10^post_2, tmp13^0'=tmp13^post_2, tmp___011^0'=tmp___011^post_2, tmp___014^0'=tmp___014^post_2, [ i^0==i^post_2 && tmp10^0==tmp10^post_2 && tmp13^0==tmp13^post_2 && tmp___011^0==tmp___011^post_2 && tmp___014^0==tmp___014^post_2 ], cost: 1 Checking for constant complexity: The following rule is satisfiable with cost >= 1, yielding constant complexity: 1: l2 -> l0 : i^0'=i^post_2, tmp10^0'=tmp10^post_2, tmp13^0'=tmp13^post_2, tmp___011^0'=tmp___011^post_2, tmp___014^0'=tmp___014^post_2, [ i^0==i^post_2 && tmp10^0==tmp10^post_2 && tmp13^0==tmp13^post_2 && tmp___011^0==tmp___011^post_2 && tmp___014^0==tmp___014^post_2 ], cost: 1 Removed unreachable and leaf rules: Start location: l2 Empty problem, aborting Obtained the following overall complexity (w.r.t. the length of the input n): Complexity: Constant Cpx degree: 0 Solved cost: 1 Rule cost: 1 Rule guard: [ i^0==i^post_2 && tmp10^0==tmp10^post_2 && tmp13^0==tmp13^post_2 && tmp___011^0==tmp___011^post_2 && tmp___014^0==tmp___014^post_2 ] WORST_CASE(Omega(1),?)