WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: *(x,+(y,z)) -> +(*(x,y),*(x,z)) - Signature: {*/2} / {+/2} - Obligation: innermost runtime complexity wrt. defined symbols {*} and constructors {+} + Applied Processor: Ara {heuristics_ = NoHeuristics, minDegree = 1, maxDegree = 3, araTimeout = 60, araFindStrictRules = Nothing, araSmtSolver = Z3} + Details: Signatures used: ---------------- * :: [A(0) x A(15)] -(1)-> A(0) + :: [A(15) x A(15)] -(15)-> A(15) + :: [A(0) x A(0)] -(0)-> A(0) Cost-free Signatures used: -------------------------- * :: [A_cf(0) x A_cf(0)] -(0)-> A_cf(0) + :: [A_cf(0) x A_cf(0)] -(0)-> A_cf(0) Base Constructor Signatures used: --------------------------------- +_A :: [A(0) x A(0)] -(0)-> A(0) * Step 2: Open MAYBE - Strict TRS: *(x,+(y,z)) -> +(*(x,y),*(x,z)) - Signature: {*/2} / {+/2} - Obligation: innermost runtime complexity wrt. defined symbols {*} and constructors {+} Following problems could not be solved: - Strict TRS: *(x,+(y,z)) -> +(*(x,y),*(x,z)) - Signature: {*/2} / {+/2} - Obligation: innermost runtime complexity wrt. defined symbols {*} and constructors {+} WORST_CASE(?,O(n^1))