WORST_CASE(?,O(n^1)) * Step 1: Bounds WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: add(0(),y) -> y add(s(x),y) -> s(add(x,y)) main(x,y) -> add(x,y) - Signature: {add/2,main/2} / {0/0,s/1} - Obligation: innermost runtime complexity wrt. defined symbols {add,main} 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() -> 1 0_0() -> 2 0_0() -> 3 add_0(2,2) -> 1 add_1(2,2) -> 1 add_1(2,2) -> 3 main_0(2,2) -> 1 s_0(2) -> 1 s_0(2) -> 2 s_0(2) -> 3 s_1(3) -> 1 s_1(3) -> 3 2 -> 1 2 -> 3 * Step 2: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak TRS: add(0(),y) -> y add(s(x),y) -> s(add(x,y)) main(x,y) -> add(x,y) - Signature: {add/2,main/2} / {0/0,s/1} - Obligation: innermost runtime complexity wrt. defined symbols {add,main} and constructors {0,s} + Applied Processor: EmptyProcessor + Details: The problem is already closed. The intended complexity is O(1). WORST_CASE(?,O(n^1))