WORST_CASE(?,O(n^1)) * Step 1: Bounds WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: id(0()) -> 0() id(s(x)) -> s(id(x)) - Signature: {id/1} / {0/0,s/1} - Obligation: innermost runtime complexity wrt. defined symbols {id} and constructors {0,s} + Applied Processor: Bounds {initialAutomaton = minimal, enrichment = match} + Details: The problem is match-bounded by 1. The enriched problem is compatible with follwoing automaton. 0_0() -> 2 0_1() -> 1 0_1() -> 3 id_0(2) -> 1 id_1(2) -> 3 s_0(2) -> 2 s_1(3) -> 1 s_1(3) -> 3 * Step 2: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak TRS: id(0()) -> 0() id(s(x)) -> s(id(x)) - Signature: {id/1} / {0/0,s/1} - Obligation: innermost runtime complexity wrt. defined symbols {id} and constructors {0,s} + Applied Processor: EmptyProcessor + Details: The problem is already closed. The intended complexity is O(1). WORST_CASE(?,O(n^1))