WORST_CASE(?,O(n^1)) * Step 1: Bounds WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: 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: innermost runtime complexity wrt. defined symbols {a,c} and constructors {0,b} + Applied Processor: Bounds {initialAutomaton = perSymbol, enrichment = match} + Details: The problem is match-bounded by 2. The enriched problem is compatible with follwoing automaton. 0_0() -> 1 a_0(1,1) -> 2 a_0(1,3) -> 2 a_0(3,1) -> 2 a_0(3,3) -> 2 b_0(1) -> 3 b_0(3) -> 3 b_2(6) -> 2 b_2(8) -> 7 c_0(1) -> 4 c_0(3) -> 4 c_1(1) -> 5 c_1(3) -> 5 c_1(5) -> 2 c_2(1) -> 8 c_2(3) -> 8 c_2(7) -> 6 * Step 2: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak TRS: 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: innermost runtime complexity wrt. defined symbols {a,c} and constructors {0,b} + Applied Processor: EmptyProcessor + Details: The problem is already closed. The intended complexity is O(1). WORST_CASE(?,O(n^1))