*** 1 Progress [(O(1),O(n^1))] *** Considered Problem: Strict DP Rules: Strict TRS Rules: a(0(),x) -> c(c(x)) c(c(x)) -> b(c(b(c(x)))) c(c(b(c(x)))) -> b(a(0(),c(x))) Weak DP Rules: Weak TRS Rules: Signature: {a/2,c/1} / {0/0,b/1} Obligation: Full basic terms: {a,c}/{0,b} Applied Processor: Bounds {initialAutomaton = minimal, enrichment = match} Proof: The problem is match-bounded by 2. The enriched problem is compatible with follwoing automaton. 0_0() -> 2 a_0(2,2) -> 1 b_0(2) -> 2 b_2(4) -> 1 b_2(6) -> 5 c_0(2) -> 1 c_1(2) -> 3 c_1(3) -> 1 c_2(2) -> 6 c_2(5) -> 4 *** 1.1 Progress [(O(1),O(1))] *** Considered Problem: Strict DP Rules: Strict TRS Rules: Weak DP Rules: Weak TRS Rules: a(0(),x) -> c(c(x)) c(c(x)) -> b(c(b(c(x)))) c(c(b(c(x)))) -> b(a(0(),c(x))) Signature: {a/2,c/1} / {0/0,b/1} Obligation: Full basic terms: {a,c}/{0,b} Applied Processor: EmptyProcessor Proof: The problem is already closed. The intended complexity is O(1).