WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: a__c() -> a__f(g(c())) a__c() -> c() a__f(X) -> f(X) a__f(g(X)) -> g(X) mark(c()) -> a__c() mark(f(X)) -> a__f(X) mark(g(X)) -> g(X) - Signature: {a__c/0,a__f/1,mark/1} / {c/0,f/1,g/1} - Obligation: innermost runtime complexity wrt. defined symbols {a__c,a__f,mark} and constructors {c,f,g} + Applied Processor: Ara {araHeuristics = NoHeuristics, minDegree = 1, maxDegree = 2, araTimeout = 5, araRuleShifting = Nothing} + Details: Signatures used: ---------------- a__c :: [] -(14)-> "A"(0) a__f :: ["A"(6)] -(5)-> "A"(2) c :: [] -(0)-> "A"(7) c :: [] -(0)-> "A"(14) f :: ["A"(7)] -(7)-> "A"(7) f :: ["A"(3)] -(3)-> "A"(3) g :: ["A"(6)] -(6)-> "A"(6) g :: ["A"(7)] -(7)-> "A"(7) g :: ["A"(3)] -(3)-> "A"(3) g :: ["A"(2)] -(2)-> "A"(2) mark :: ["A"(7)] -(15)-> "A"(0) Cost-free Signatures used: -------------------------- Base Constructor Signatures used: --------------------------------- "c_A" :: [] -(0)-> "A"(1) "f_A" :: ["A"(1)] -(1)-> "A"(1) "g_A" :: ["A"(1)] -(1)-> "A"(1) WORST_CASE(?,O(n^1))