* Step 1: Bounds WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: minus(f(x,y)) -> f(minus(y),minus(x)) minus(h(x)) -> h(minus(x)) minus(minus(x)) -> x - Signature: {minus/1} / {f/2,h/1} - Obligation: runtime complexity wrt. defined symbols {minus} and constructors {f,h} + Applied Processor: Bounds {initialAutomaton = perSymbol, enrichment = match} + Details: The problem is match-bounded by 1. The enriched problem is compatible with follwoing automaton. f_0(1,1) -> 1 f_0(1,2) -> 1 f_0(2,1) -> 1 f_0(2,2) -> 1 f_1(4,5) -> 3 f_1(5,5) -> 3 f_1(5,5) -> 4 f_1(5,5) -> 5 h_0(1) -> 2 h_0(2) -> 2 h_1(5) -> 3 h_1(5) -> 5 minus_0(1) -> 3 minus_0(2) -> 3 minus_1(1) -> 4 minus_1(1) -> 5 minus_1(2) -> 5 * Step 2: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak TRS: minus(f(x,y)) -> f(minus(y),minus(x)) minus(h(x)) -> h(minus(x)) minus(minus(x)) -> x - Signature: {minus/1} / {f/2,h/1} - Obligation: runtime complexity wrt. defined symbols {minus} and constructors {f,h} + Applied Processor: EmptyProcessor + Details: The problem is already closed. The intended complexity is O(1). WORST_CASE(?,O(n^1))