WORST_CASE(?,O(1)) * Step 1: Ara WORST_CASE(?,O(1)) + Considered Problem: - Strict TRS: =(x,y) -> xor(x,xor(y,true())) implies(x,y) -> xor(and(x,y),xor(x,true())) not(x) -> xor(x,true()) or(x,y) -> xor(and(x,y),xor(x,y)) - Signature: {=/2,implies/2,not/1,or/2} / {and/2,true/0,xor/2} - Obligation: innermost runtime complexity wrt. defined symbols {=,implies,not,or} and constructors {and,true,xor} + Applied Processor: Ara {araHeuristics = Heuristics, minDegree = 1, maxDegree = 2, araTimeout = 3, araRuleShifting = Nothing} + Details: Signatures used: ---------------- = :: ["A"(0) x "A"(0)] -(1)-> "A"(0) and :: ["A"(0) x "A"(0)] -(0)-> "A"(0) implies :: ["A"(0) x "A"(0)] -(1)-> "A"(0) not :: ["A"(0)] -(1)-> "A"(0) or :: ["A"(0) x "A"(0)] -(1)-> "A"(0) true :: [] -(0)-> "A"(0) xor :: ["A"(0) x "A"(0)] -(0)-> "A"(0) Cost-free Signatures used: -------------------------- Base Constructor Signatures used: --------------------------------- "and_A" :: ["A"(0) x "A"(0)] -(0)-> "A"(0) "true_A" :: [] -(0)-> "A"(0) "xor_A" :: ["A"(0) x "A"(0)] -(0)-> "A"(0) WORST_CASE(?,O(1))