WORST_CASE(Omega(1),?) ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: l2 0: l0 -> l1 : A^0'=A^post_1, NBuffers^0'=NBuffers^post_1, NLocBuffer^0'=NLocBuffer^post_1, R^0'=R^post_1, istemp^0'=istemp^post_1, [ R^post_1==0 && A^post_1==R^post_1 && istemp^post_1==istemp^post_1 && NLocBuffer^post_1==NLocBuffer^post_1 && NBuffers^post_1==NBuffers^post_1 ], cost: 1 1: l2 -> l0 : A^0'=A^post_2, NBuffers^0'=NBuffers^post_2, NLocBuffer^0'=NLocBuffer^post_2, R^0'=R^post_2, istemp^0'=istemp^post_2, [ A^0==A^post_2 && NBuffers^0==NBuffers^post_2 && NLocBuffer^0==NLocBuffer^post_2 && R^0==R^post_2 && istemp^0==istemp^post_2 ], cost: 1 Checking for constant complexity: The following rule is satisfiable with cost >= 1, yielding constant complexity: 1: l2 -> l0 : A^0'=A^post_2, NBuffers^0'=NBuffers^post_2, NLocBuffer^0'=NLocBuffer^post_2, R^0'=R^post_2, istemp^0'=istemp^post_2, [ A^0==A^post_2 && NBuffers^0==NBuffers^post_2 && NLocBuffer^0==NLocBuffer^post_2 && R^0==R^post_2 && istemp^0==istemp^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: [ A^0==A^post_2 && NBuffers^0==NBuffers^post_2 && NLocBuffer^0==NLocBuffer^post_2 && R^0==R^post_2 && istemp^0==istemp^post_2 ] WORST_CASE(Omega(1),?)