* Step 1: Bounds WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: f(a(),a()) -> f(a(),b()) f(a(),b()) -> f(s(a()),c()) f(c(),c()) -> f(a(),a()) f(s(X),c()) -> f(X,c()) - Signature: {f/2} / {a/0,b/0,c/0,s/1} - Obligation: innermost runtime complexity wrt. defined symbols {f} and constructors {a,b,c,s} + Applied Processor: Bounds {initialAutomaton = minimal, enrichment = match} + Details: The problem is match-bounded by 4. The enriched problem is compatible with follwoing automaton. a_0() -> 2 a_1() -> 3 a_2() -> 7 a_3() -> 10 b_0() -> 2 b_1() -> 4 b_2() -> 9 c_0() -> 2 c_1() -> 4 c_2() -> 6 c_3() -> 8 c_4() -> 11 f_0(2,2) -> 1 f_1(2,4) -> 1 f_1(3,3) -> 1 f_1(3,4) -> 1 f_2(3,6) -> 1 f_2(5,6) -> 1 f_2(7,9) -> 1 f_3(7,8) -> 1 f_4(10,11) -> 1 s_0(2) -> 2 s_1(3) -> 3 s_2(7) -> 5 s_3(10) -> 7 * Step 2: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak TRS: f(a(),a()) -> f(a(),b()) f(a(),b()) -> f(s(a()),c()) f(c(),c()) -> f(a(),a()) f(s(X),c()) -> f(X,c()) - Signature: {f/2} / {a/0,b/0,c/0,s/1} - Obligation: innermost runtime complexity wrt. defined symbols {f} and constructors {a,b,c,s} + Applied Processor: EmptyProcessor + Details: The problem is already closed. The intended complexity is O(1). WORST_CASE(?,O(n^1))