* Step 1: Bounds WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: a(c(d(x))) -> c(x) u(b(d(d(x)))) -> b(x) v(a(a(x))) -> u(v(x)) v(a(c(x))) -> u(b(d(x))) v(c(x)) -> b(x) w(a(a(x))) -> u(w(x)) w(a(c(x))) -> u(b(d(x))) w(c(x)) -> b(x) - Signature: {a/1,u/1,v/1,w/1} / {b/1,c/1,d/1} - Obligation: runtime complexity wrt. defined symbols {a,u,v,w} and constructors {b,c,d} + Applied Processor: Bounds {initialAutomaton = minimal, enrichment = match} + Details: The problem is match-bounded by 1. The enriched problem is compatible with follwoing automaton. a_0(2) -> 1 b_0(2) -> 2 b_1(2) -> 1 c_0(2) -> 2 c_1(2) -> 1 d_0(2) -> 2 u_0(2) -> 1 v_0(2) -> 1 w_0(2) -> 1 * Step 2: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak TRS: a(c(d(x))) -> c(x) u(b(d(d(x)))) -> b(x) v(a(a(x))) -> u(v(x)) v(a(c(x))) -> u(b(d(x))) v(c(x)) -> b(x) w(a(a(x))) -> u(w(x)) w(a(c(x))) -> u(b(d(x))) w(c(x)) -> b(x) - Signature: {a/1,u/1,v/1,w/1} / {b/1,c/1,d/1} - Obligation: runtime complexity wrt. defined symbols {a,u,v,w} and constructors {b,c,d} + Applied Processor: EmptyProcessor + Details: The problem is already closed. The intended complexity is O(1). WORST_CASE(?,O(n^1))