*** 1 Progress [(O(1),O(n^1))] *** Considered Problem: Strict DP Rules: Strict TRS Rules: a(y,x) -> y a(y,c(b(a(0(),x),0()))) -> b(a(c(b(0(),y)),x),0()) b(x,y) -> c(a(c(y),a(0(),x))) Weak DP Rules: Weak TRS Rules: Signature: {a/2,b/2} / {0/0,c/1} Obligation: Full basic terms: {a,b}/{0,c} Applied Processor: Bounds {initialAutomaton = minimal, enrichment = match} Proof: The problem is match-bounded by 1. The enriched problem is compatible with follwoing automaton. 0_0() -> 1 0_0() -> 2 0_1() -> 5 0_1() -> 6 a_0(2,2) -> 1 a_1(4,5) -> 3 a_1(6,2) -> 5 b_0(2,2) -> 1 c_0(2) -> 1 c_0(2) -> 2 c_1(2) -> 3 c_1(2) -> 4 c_1(3) -> 1 2 -> 1 4 -> 3 6 -> 5 *** 1.1 Progress [(O(1),O(1))] *** Considered Problem: Strict DP Rules: Strict TRS Rules: Weak DP Rules: Weak TRS Rules: a(y,x) -> y a(y,c(b(a(0(),x),0()))) -> b(a(c(b(0(),y)),x),0()) b(x,y) -> c(a(c(y),a(0(),x))) Signature: {a/2,b/2} / {0/0,c/1} Obligation: Full basic terms: {a,b}/{0,c} Applied Processor: EmptyProcessor Proof: The problem is already closed. The intended complexity is O(1).