WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: f(s(X),Y) -> h(s(f(h(Y),X))) - Signature: {f/2} / {h/1,s/1} - Obligation: innermost runtime complexity wrt. defined symbols {f} and constructors {h,s} + Applied Processor: Ara {heuristics_ = NoHeuristics, minDegree = 1, maxDegree = 3, araTimeout = 60, araFindStrictRules = Nothing, araSmtSolver = MiniSMT} + Details: Signatures used: ---------------- f :: [A(8) x A(0)] -(2)-> A(0) h :: [A(0)] -(0)-> A(0) h :: [A(0)] -(0)-> A(8) s :: [A(0)] -(8)-> A(8) s :: [A(0)] -(1)-> A(1) Cost-free Signatures used: -------------------------- f :: [A_cf(0) x A_cf(0)] -(0)-> A_cf(0) h :: [A_cf(0)] -(0)-> A_cf(0) s :: [A_cf(0)] -(0)-> A_cf(0) Base Constructor Signatures used: --------------------------------- h_A :: [A(0)] -(0)-> A(1) s_A :: [A(0)] -(1)-> A(1) * Step 2: Open MAYBE - Strict TRS: f(s(X),Y) -> h(s(f(h(Y),X))) - Signature: {f/2} / {h/1,s/1} - Obligation: innermost runtime complexity wrt. defined symbols {f} and constructors {h,s} Following problems could not be solved: - Strict TRS: f(s(X),Y) -> h(s(f(h(Y),X))) - Signature: {f/2} / {h/1,s/1} - Obligation: innermost runtime complexity wrt. defined symbols {f} and constructors {h,s} WORST_CASE(?,O(n^1))