WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: @(Cons(x,xs),ys) -> Cons(x,@(xs,ys)) @(Nil(),ys) -> ys game(p1,p2,Cons(Swap(),xs)) -> game(p2,p1,xs) game(p1,p2,Nil()) -> @(p1,p2) game(p1,Cons(x',xs'),Cons(Capture(),xs)) -> game(Cons(x',p1),xs',xs) goal(p1,p2,moves) -> game(p1,p2,moves) - Signature: {@/2,game/3,goal/3} / {Capture/0,Cons/2,Nil/0,Swap/0} - Obligation: innermost runtime complexity wrt. defined symbols {@,game,goal} and constructors {Capture,Cons,Nil,Swap} + Applied Processor: Ara {minDegree = 1, maxDegree = 2, araTimeout = 3, araRuleShifting = Nothing} + Details: Signatures used: ---------------- F (TrsFun "@") :: ["A"(13) x "A"(14)] -(1)-> "A"(0) F (TrsFun "Capture") :: [] -(0)-> "A"(0) F (TrsFun "Cons") :: ["A"(0) x "A"(13)] -(13)-> "A"(13) F (TrsFun "Cons") :: ["A"(0) x "A"(15)] -(15)-> "A"(15) F (TrsFun "Cons") :: ["A"(0) x "A"(0)] -(0)-> "A"(0) F (TrsFun "Nil") :: [] -(0)-> "A"(13) F (TrsFun "Nil") :: [] -(0)-> "A"(15) F (TrsFun "Swap") :: [] -(0)-> "A"(0) F (TrsFun "game") :: ["A"(15) x "A"(15) x "A"(15)] -(4)-> "A"(0) F (TrsFun "goal") :: ["A"(15) x "A"(15) x "A"(15)] -(9)-> "A"(0) Cost-free Signatures used: -------------------------- Base Constructor Signatures used: --------------------------------- "F (TrsFun \"Capture\")_A" :: [] -(0)-> "A"(1) "F (TrsFun \"Cons\")_A" :: ["A"(0) x "A"(1)] -(1)-> "A"(1) "F (TrsFun \"Nil\")_A" :: [] -(0)-> "A"(1) "F (TrsFun \"Swap\")_A" :: [] -(0)-> "A"(1) WORST_CASE(?,O(n^1))