*** 1 Progress [(O(1),O(n^1))] *** Considered Problem: Strict DP Rules: Strict TRS Rules: +(*(x,y),*(x,z)) -> *(x,+(y,z)) +(*(x,y),+(*(x,z),u())) -> +(*(x,+(y,z)),u()) +(+(x,y),z) -> +(x,+(y,z)) Weak DP Rules: Weak TRS Rules: Signature: {+/2} / {*/2,u/0} Obligation: Innermost basic terms: {+}/{*,u} Applied Processor: Bounds {initialAutomaton = minimal, enrichment = match} Proof: The problem is match-bounded by 1. The enriched problem is compatible with follwoing automaton. *_0(2,2) -> 2 *_1(2,3) -> 1 *_1(2,3) -> 3 +_0(2,2) -> 1 +_1(2,2) -> 3 u_0() -> 2 *** 1.1 Progress [(O(1),O(1))] *** Considered Problem: Strict DP Rules: Strict TRS Rules: Weak DP Rules: Weak TRS Rules: +(*(x,y),*(x,z)) -> *(x,+(y,z)) +(*(x,y),+(*(x,z),u())) -> +(*(x,+(y,z)),u()) +(+(x,y),z) -> +(x,+(y,z)) Signature: {+/2} / {*/2,u/0} Obligation: Innermost basic terms: {+}/{*,u} Applied Processor: EmptyProcessor Proof: The problem is already closed. The intended complexity is O(1).