WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: f(s(x),y,y) -> f(y,x,s(x)) g(x,y) -> x g(x,y) -> y - Signature: {f/3,g/2} / {s/1} - Obligation: innermost runtime complexity wrt. defined symbols {f,g} and constructors {s} + Applied Processor: Ara {heuristics_ = NoHeuristics, minDegree = 1, maxDegree = 3, araTimeout = 60, araFindStrictRules = Nothing, araSmtSolver = MiniSMT} + Details: Signatures used: ---------------- f :: [A(1) x A(1) x A(0)] -(4)-> A(0) g :: [A(1) x A(0)] -(8)-> A(0) s :: [A(1)] -(1)-> A(1) s :: [A(0)] -(0)-> A(0) Cost-free Signatures used: -------------------------- f :: [A_cf(0) x A_cf(0) x A_cf(0)] -(0)-> A_cf(0) s :: [A_cf(0)] -(0)-> A_cf(0) Base Constructor Signatures used: --------------------------------- s_A :: [A(1)] -(1)-> A(1) * Step 2: Open MAYBE - Strict TRS: f(s(x),y,y) -> f(y,x,s(x)) g(x,y) -> x g(x,y) -> y - Signature: {f/3,g/2} / {s/1} - Obligation: innermost runtime complexity wrt. defined symbols {f,g} and constructors {s} Following problems could not be solved: - Strict TRS: f(s(x),y,y) -> f(y,x,s(x)) g(x,y) -> x g(x,y) -> y - Signature: {f/3,g/2} / {s/1} - Obligation: innermost runtime complexity wrt. defined symbols {f,g} and constructors {s} WORST_CASE(?,O(n^1))