WORST_CASE(?,O(n^1)) * Step 1: Bounds WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: findMin#1(E()) -> ErrorElem() findMin#1(T(E(),x6,x17)) -> x6 findMin#1(T(T(x10,x12,x14),x6,x17)) -> findMin#1(T(x10,x12,x14)) main(x0) -> findMin#1(x0) - Signature: {findMin#1/1,main/1} / {E/0,ErrorElem/0,T/3} - Obligation: innermost runtime complexity wrt. defined symbols {findMin#1,main} and constructors {E,ErrorElem,T} + Applied Processor: Bounds {initialAutomaton = minimal, enrichment = match} + Details: The problem is match-bounded by 1. The enriched problem is compatible with follwoing automaton. E_0() -> 1 E_0() -> 2 ErrorElem_0() -> 1 ErrorElem_0() -> 2 ErrorElem_1() -> 1 T_0(2,2,2) -> 1 T_0(2,2,2) -> 2 T_1(2,2,2) -> 3 findMin#1_0(2) -> 1 findMin#1_1(2) -> 1 findMin#1_1(3) -> 1 main_0(2) -> 1 2 -> 1 * Step 2: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak TRS: findMin#1(E()) -> ErrorElem() findMin#1(T(E(),x6,x17)) -> x6 findMin#1(T(T(x10,x12,x14),x6,x17)) -> findMin#1(T(x10,x12,x14)) main(x0) -> findMin#1(x0) - Signature: {findMin#1/1,main/1} / {E/0,ErrorElem/0,T/3} - Obligation: innermost runtime complexity wrt. defined symbols {findMin#1,main} and constructors {E,ErrorElem,T} + Applied Processor: EmptyProcessor + Details: The problem is already closed. The intended complexity is O(1). WORST_CASE(?,O(n^1))