WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: goal(xs,ys) -> revapp(xs,ys) revapp(Cons(x,xs),rest) -> revapp(xs,Cons(x,rest)) revapp(Nil(),rest) -> rest - Signature: {goal/2,revapp/2} / {Cons/2,Nil/0} - Obligation: innermost runtime complexity wrt. defined symbols {goal,revapp} and constructors {Cons,Nil} + Applied Processor: Ara {heuristics_ = NoHeuristics, minDegree = 1, maxDegree = 3, araTimeout = 60, araFindStrictRules = Nothing, araSmtSolver = Z3} + Details: Signatures used: ---------------- Cons :: [A(0) x A(12)] -(12)-> A(12) Cons :: [A(0) x A(0)] -(0)-> A(0) Nil :: [] -(0)-> A(12) goal :: [A(14) x A(14)] -(7)-> A(0) revapp :: [A(12) x A(0)] -(4)-> A(0) Cost-free Signatures used: -------------------------- Cons :: [A_cf(0) x A_cf(0)] -(0)-> A_cf(0) Nil :: [] -(0)-> A_cf(0) revapp :: [A_cf(0) x A_cf(0)] -(0)-> A_cf(0) Base Constructor Signatures used: --------------------------------- Cons_A :: [A(0) x A(1)] -(1)-> A(1) Nil_A :: [] -(0)-> A(1) * Step 2: Open MAYBE - Strict TRS: goal(xs,ys) -> revapp(xs,ys) revapp(Cons(x,xs),rest) -> revapp(xs,Cons(x,rest)) revapp(Nil(),rest) -> rest - Signature: {goal/2,revapp/2} / {Cons/2,Nil/0} - Obligation: innermost runtime complexity wrt. defined symbols {goal,revapp} and constructors {Cons,Nil} Following problems could not be solved: - Strict TRS: goal(xs,ys) -> revapp(xs,ys) revapp(Cons(x,xs),rest) -> revapp(xs,Cons(x,rest)) revapp(Nil(),rest) -> rest - Signature: {goal/2,revapp/2} / {Cons/2,Nil/0} - Obligation: innermost runtime complexity wrt. defined symbols {goal,revapp} and constructors {Cons,Nil} WORST_CASE(?,O(n^1))