WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: append(l1,l2) -> ifappend(l1,l2,l1) hd(cons(x,l)) -> x ifappend(l1,l2,cons(x,l)) -> cons(x,append(l,l2)) ifappend(l1,l2,nil()) -> l2 is_empty(cons(x,l)) -> false() is_empty(nil()) -> true() tl(cons(x,l)) -> l - Signature: {append/2,hd/1,ifappend/3,is_empty/1,tl/1} / {cons/2,false/0,nil/0,true/0} - Obligation: innermost runtime complexity wrt. defined symbols {append,hd,ifappend,is_empty,tl} and constructors {cons ,false,nil,true} + Applied Processor: Ara {araHeuristics = NoHeuristics, minDegree = 1, maxDegree = 2, araTimeout = 5, araRuleShifting = Nothing} + Details: Signatures used: ---------------- append :: ["A"(15) x "A"(14)] -(8)-> "A"(0) cons :: ["A"(0) x "A"(15)] -(15)-> "A"(15) cons :: ["A"(0) x "A"(11)] -(11)-> "A"(11) cons :: ["A"(0) x "A"(10)] -(10)-> "A"(10) cons :: ["A"(0) x "A"(0)] -(0)-> "A"(0) false :: [] -(0)-> "A"(14) hd :: ["A"(15)] -(0)-> "A"(0) ifappend :: ["A"(0) x "A"(14) x "A"(15)] -(3)-> "A"(0) is_empty :: ["A"(11)] -(1)-> "A"(0) nil :: [] -(0)-> "A"(15) nil :: [] -(0)-> "A"(11) tl :: ["A"(10)] -(15)-> "A"(0) true :: [] -(0)-> "A"(14) Cost-free Signatures used: -------------------------- Base Constructor Signatures used: --------------------------------- "cons_A" :: ["A"(0) x "A"(1)] -(1)-> "A"(1) "false_A" :: [] -(0)-> "A"(1) "nil_A" :: [] -(0)-> "A"(1) "true_A" :: [] -(0)-> "A"(1) WORST_CASE(?,O(n^1))