WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: copy(0(),y,z) -> f(z) copy(s(x),y,z) -> copy(x,y,cons(f(y),z)) f(cons(f(cons(nil(),y)),z)) -> copy(n(),y,z) f(cons(nil(),y)) -> y - Signature: {copy/3,f/1} / {0/0,cons/2,n/0,nil/0,s/1} - Obligation: innermost runtime complexity wrt. defined symbols {copy,f} and constructors {0,cons,n,nil,s} + Applied Processor: Ara {araHeuristics = Heuristics, minDegree = 1, maxDegree = 2, araTimeout = 3, araRuleShifting = Nothing} + Details: Signatures used: ---------------- 0 :: [] -(0)-> "A"(3) cons :: ["A"(0) x "A"(0)] -(0)-> "A"(0) copy :: ["A"(3) x "A"(0) x "A"(0)] -(3)-> "A"(0) f :: ["A"(0)] -(2)-> "A"(0) n :: [] -(0)-> "A"(3) nil :: [] -(0)-> "A"(0) s :: ["A"(3)] -(3)-> "A"(3) Cost-free Signatures used: -------------------------- Base Constructor Signatures used: --------------------------------- "0_A" :: [] -(0)-> "A"(0) "cons_A" :: ["A"(0) x "A"(0)] -(0)-> "A"(0) "n_A" :: [] -(0)-> "A"(0) "nil_A" :: [] -(0)-> "A"(0) "s_A" :: ["A"(0)] -(0)-> "A"(0) WORST_CASE(?,O(n^1))