WORST_CASE(Omega(1),?) ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: l2 0: l0 -> l1 : rt_11^0'=rt_11^post_1, st_14^0'=st_14^post_1, x_13^0'=x_13^post_1, [ 0<=x_13^0 && x_13^post_1==-1+x_13^0 && rt_11^post_1==st_14^0 && st_14^0==st_14^post_1 ], cost: 1 1: l0 -> l1 : rt_11^0'=rt_11^post_2, st_14^0'=st_14^post_2, x_13^0'=x_13^post_2, [ 1+x_13^0<=0 && rt_11^post_2==st_14^0 && st_14^0==st_14^post_2 && x_13^0==x_13^post_2 ], cost: 1 2: l2 -> l0 : rt_11^0'=rt_11^post_3, st_14^0'=st_14^post_3, x_13^0'=x_13^post_3, [ rt_11^0==rt_11^post_3 && st_14^0==st_14^post_3 && x_13^0==x_13^post_3 ], cost: 1 Checking for constant complexity: The following rule is satisfiable with cost >= 1, yielding constant complexity: 2: l2 -> l0 : rt_11^0'=rt_11^post_3, st_14^0'=st_14^post_3, x_13^0'=x_13^post_3, [ rt_11^0==rt_11^post_3 && st_14^0==st_14^post_3 && x_13^0==x_13^post_3 ], 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: [ rt_11^0==rt_11^post_3 && st_14^0==st_14^post_3 && x_13^0==x_13^post_3 ] WORST_CASE(Omega(1),?)