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