* Step 1: Bounds WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: f(x) -> x f(c(s(x),y)) -> f(c(x,s(y))) f(f(x)) -> f(d(f(x))) g(c(x,s(y))) -> g(c(s(x),y)) - Signature: {f/1,g/1} / {c/2,d/1,s/1} - Obligation: runtime complexity wrt. defined symbols {f,g} and constructors {c,d,s} + Applied Processor: Bounds {initialAutomaton = minimal, enrichment = match} + Details: The problem is match-bounded by 1. The enriched problem is compatible with follwoing automaton. c_0(2,2) -> 1 c_0(2,2) -> 2 c_1(2,4) -> 1 c_1(2,4) -> 3 c_1(4,2) -> 5 d_0(2) -> 1 d_0(2) -> 2 f_0(2) -> 1 f_1(3) -> 1 g_0(2) -> 1 g_1(5) -> 1 s_0(2) -> 1 s_0(2) -> 2 s_1(2) -> 4 s_1(4) -> 4 2 -> 1 3 -> 1 * Step 2: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak TRS: f(x) -> x f(c(s(x),y)) -> f(c(x,s(y))) f(f(x)) -> f(d(f(x))) g(c(x,s(y))) -> g(c(s(x),y)) - Signature: {f/1,g/1} / {c/2,d/1,s/1} - Obligation: runtime complexity wrt. defined symbols {f,g} and constructors {c,d,s} + Applied Processor: EmptyProcessor + Details: The problem is already closed. The intended complexity is O(1). WORST_CASE(?,O(n^1))