WORST_CASE(?,O(n^1)) * Step 1: Bounds WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: b(u(x)) -> a(e(x)) c(u(x)) -> b(x) d(x) -> e(u(x)) d(u(x)) -> c(x) v(e(x)) -> x - Signature: {b/1,c/1,d/1,v/1} / {a/1,e/1,u/1} - Obligation: innermost runtime complexity wrt. defined symbols {b,c,d,v} and constructors {a,e,u} + 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 a_0(2) -> 2 a_1(3) -> 1 b_0(2) -> 1 b_1(2) -> 1 c_0(2) -> 1 c_1(2) -> 1 d_0(2) -> 1 e_0(2) -> 1 e_0(2) -> 2 e_1(2) -> 3 e_1(4) -> 1 u_0(2) -> 1 u_0(2) -> 2 u_1(2) -> 4 v_0(2) -> 1 2 -> 1 * Step 2: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak TRS: b(u(x)) -> a(e(x)) c(u(x)) -> b(x) d(x) -> e(u(x)) d(u(x)) -> c(x) v(e(x)) -> x - Signature: {b/1,c/1,d/1,v/1} / {a/1,e/1,u/1} - Obligation: innermost runtime complexity wrt. defined symbols {b,c,d,v} and constructors {a,e,u} + Applied Processor: EmptyProcessor + Details: The problem is already closed. The intended complexity is O(1). WORST_CASE(?,O(n^1))