*** 1 Progress [(O(1),O(n^1))] *** Considered Problem: Strict DP Rules: Strict TRS Rules: minus(f(x,y)) -> f(minus(y),minus(x)) minus(h(x)) -> h(minus(x)) minus(minus(x)) -> x Weak DP Rules: Weak TRS Rules: Signature: {minus/1} / {f/2,h/1} Obligation: Innermost basic terms: {minus}/{f,h} Applied Processor: Bounds {initialAutomaton = minimal, enrichment = match} Proof: The problem is match-bounded by 1. The enriched problem is compatible with follwoing automaton. f_0(2,2) -> 2 f_1(3,4) -> 1 f_1(4,4) -> 3 f_1(4,4) -> 4 h_0(2) -> 2 h_1(4) -> 1 h_1(4) -> 3 h_1(4) -> 4 minus_0(2) -> 1 minus_1(2) -> 3 minus_1(2) -> 4 *** 1.1 Progress [(O(1),O(1))] *** Considered Problem: Strict DP Rules: Strict TRS Rules: Weak DP Rules: Weak TRS Rules: 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: Innermost basic terms: {minus}/{f,h} Applied Processor: EmptyProcessor Proof: The problem is already closed. The intended complexity is O(1).