WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: deleteMin#1(E()) -> ErrorHeap() deleteMin#1(T(E(),x6,x8)) -> x8 deleteMin#1(T(T(E(),x24,x28),x12,x16)) -> T(x28,x12,x16) deleteMin#1(T(T(T(x32,x36,x40),x24,x28),x12,x16)) -> T(deleteMin#1(T(x32,x36,x40)),x24,T(x28,x12,x16)) main(x0) -> deleteMin#1(x0) - Signature: {deleteMin#1/1,main/1} / {E/0,ErrorHeap/0,T/3} - Obligation: innermost runtime complexity wrt. defined symbols {deleteMin#1,main} and constructors {E,ErrorHeap,T} + Applied Processor: Ara {minDegree = 1, maxDegree = 2, araTimeout = 5, araRuleShifting = Nothing} + Details: Signatures used: ---------------- F (TrsFun "E") :: [] -(0)-> "A"(4) F (TrsFun "ErrorHeap") :: [] -(0)-> "A"(14) F (TrsFun "T") :: ["A"(4) x "A"(0) x "A"(4)] -(4)-> "A"(4) F (TrsFun "T") :: ["A"(0) x "A"(0) x "A"(0)] -(0)-> "A"(0) F (TrsFun "deleteMin#1") :: ["A"(4)] -(2)-> "A"(0) F (TrsFun "main") :: ["A"(14)] -(7)-> "A"(0) Cost-free Signatures used: -------------------------- Base Constructor Signatures used: --------------------------------- "F (TrsFun \"E\")_A" :: [] -(0)-> "A"(1) "F (TrsFun \"ErrorHeap\")_A" :: [] -(0)-> "A"(1) "F (TrsFun \"T\")_A" :: ["A"(1) x "A"(0) x "A"(1)] -(1)-> "A"(1) WORST_CASE(?,O(n^1))