* Step 1: Bounds WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: c(y) -> y c(a(a(0(),x),y)) -> a(c(c(c(0()))),y) c(c(c(y))) -> c(c(a(y,0()))) - Signature: {c/1} / {0/0,a/2} - Obligation: runtime complexity wrt. defined symbols {c} and constructors {0,a} + 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 0_0() -> 3 0_1() -> 4 0_1() -> 5 0_1() -> 6 0_1() -> 7 0_2() -> 10 a_0(1,1) -> 2 a_0(1,1) -> 3 a_0(1,2) -> 2 a_0(1,2) -> 3 a_0(2,1) -> 2 a_0(2,1) -> 3 a_0(2,2) -> 2 a_0(2,2) -> 3 a_1(4,1) -> 3 a_1(4,2) -> 3 a_2(7,10) -> 4 a_2(7,10) -> 8 a_2(7,10) -> 9 c_0(1) -> 3 c_0(2) -> 3 c_1(5) -> 4 c_1(6) -> 4 c_1(6) -> 5 c_1(7) -> 4 c_1(7) -> 5 c_1(7) -> 6 c_2(8) -> 4 c_2(9) -> 4 c_2(9) -> 8 1 -> 3 2 -> 3 5 -> 4 6 -> 4 6 -> 5 7 -> 4 7 -> 5 7 -> 6 8 -> 4 9 -> 4 9 -> 8 * Step 2: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak TRS: c(y) -> y c(a(a(0(),x),y)) -> a(c(c(c(0()))),y) c(c(c(y))) -> c(c(a(y,0()))) - Signature: {c/1} / {0/0,a/2} - Obligation: runtime complexity wrt. defined symbols {c} and constructors {0,a} + Applied Processor: EmptyProcessor + Details: The problem is already closed. The intended complexity is O(1). WORST_CASE(?,O(n^1))