WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: implies(x,or(y,z)) -> or(y,implies(x,z)) implies(not(x),y) -> or(x,y) implies(not(x),or(y,z)) -> implies(y,or(x,z)) - Signature: {implies/2} / {not/1,or/2} - Obligation: innermost runtime complexity wrt. defined symbols {implies} and constructors {not,or} + Applied Processor: Ara {araHeuristics = NoHeuristics, minDegree = 1, maxDegree = 2, araTimeout = 5, araRuleShifting = Nothing} + Details: Signatures used: ---------------- implies :: ["A"(15) x "A"(15)] -(9)-> "A"(1) not :: ["A"(15)] -(15)-> "A"(15) or :: ["A"(15) x "A"(15)] -(15)-> "A"(15) or :: ["A"(1) x "A"(1)] -(1)-> "A"(1) Cost-free Signatures used: -------------------------- Base Constructor Signatures used: --------------------------------- "not_A" :: ["A"(1)] -(1)-> "A"(1) "or_A" :: ["A"(1) x "A"(1)] -(1)-> "A"(1) WORST_CASE(?,O(n^1))