WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: conv(0()) -> cons(nil(),0()) conv(s(x)) -> cons(conv(half(s(x))),lastbit(s(x))) half(0()) -> 0() half(s(0())) -> 0() half(s(s(x))) -> s(half(x)) lastbit(0()) -> 0() lastbit(s(0())) -> s(0()) lastbit(s(s(x))) -> lastbit(x) - Signature: {conv/1,half/1,lastbit/1} / {0/0,cons/2,nil/0,s/1} - Obligation: innermost runtime complexity wrt. defined symbols {conv,half,lastbit} and constructors {0,cons,nil,s} + Applied Processor: Ara {minDegree = 1, maxDegree = 2, araTimeout = 3, araRuleShifting = Nothing} + Details: Signatures used: ---------------- F (TrsFun "0") :: [] -(0)-> "A"(9) F (TrsFun "0") :: [] -(0)-> "A"(5) F (TrsFun "0") :: [] -(0)-> "A"(1) F (TrsFun "0") :: [] -(0)-> "A"(0) F (TrsFun "cons") :: ["A"(0) x "A"(0)] -(0)-> "A"(0) F (TrsFun "conv") :: ["A"(9)] -(1)-> "A"(0) F (TrsFun "half") :: ["A"(5)] -(1)-> "A"(9) F (TrsFun "lastbit") :: ["A"(1)] -(1)-> "A"(0) F (TrsFun "nil") :: [] -(0)-> "A"(0) F (TrsFun "s") :: ["A"(9)] -(9)-> "A"(9) F (TrsFun "s") :: ["A"(5)] -(5)-> "A"(5) F (TrsFun "s") :: ["A"(1)] -(1)-> "A"(1) F (TrsFun "s") :: ["A"(0)] -(0)-> "A"(0) Cost-free Signatures used: -------------------------- Base Constructor Signatures used: --------------------------------- WORST_CASE(?,O(n^1))