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