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 equal(Capture(),Capture()) -> True() equal(Capture(),Swap()) -> False() equal(Swap(),Capture()) -> False() equal(Swap(),Swap()) -> True() 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,equal/2,game/3,goal/3} / {Capture/0,Cons/2,False/0,Nil/0,Swap/0,True/0} - Obligation: innermost runtime complexity wrt. defined symbols {@,equal,game,goal} and constructors {Capture,Cons,False ,Nil,Swap,True} + Applied Processor: Ara {araHeuristics = NoHeuristics, minDegree = 1, maxDegree = 2, araTimeout = 5, araRuleShifting = Nothing} + Details: Signatures used: ---------------- @ :: ["A"(14) x "A"(8)] -(4)-> "A"(2) Capture :: [] -(0)-> "A"(0) Capture :: [] -(0)-> "A"(11) Cons :: ["A"(14) x "A"(14)] -(14)-> "A"(14) Cons :: ["A"(11) x "A"(11)] -(11)-> "A"(11) Cons :: ["A"(2) x "A"(2)] -(2)-> "A"(2) False :: [] -(0)-> "A"(0) Nil :: [] -(0)-> "A"(14) Nil :: [] -(0)-> "A"(11) Swap :: [] -(0)-> "A"(0) Swap :: [] -(0)-> "A"(11) True :: [] -(0)-> "A"(0) equal :: ["A"(0) x "A"(0)] -(8)-> "A"(0) game :: ["A"(14) x "A"(14) x "A"(11)] -(12)-> "A"(0) goal :: ["A"(14) x "A"(14) x "A"(12)] -(16)-> "A"(0) Cost-free Signatures used: -------------------------- Base Constructor Signatures used: --------------------------------- "Capture_A" :: [] -(0)-> "A"(1) "Cons_A" :: ["A"(1) x "A"(1)] -(1)-> "A"(1) "False_A" :: [] -(0)-> "A"(1) "Nil_A" :: [] -(0)-> "A"(1) "Swap_A" :: [] -(0)-> "A"(1) "True_A" :: [] -(0)-> "A"(1) WORST_CASE(?,O(n^1))