WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: r1(cons(x,k),a) -> r1(k,cons(x,a)) r1(empty(),a) -> a rev(ls) -> r1(ls,empty()) - Signature: {r1/2,rev/1} / {cons/2,empty/0} - Obligation: innermost runtime complexity wrt. defined symbols {r1,rev} and constructors {cons,empty} + Applied Processor: Ara {heuristics_ = NoHeuristics, minDegree = 1, maxDegree = 3, araTimeout = 60, araFindStrictRules = Nothing, araSmtSolver = Z3} + Details: Signatures used: ---------------- cons :: [A(0) x A(8)] -(8)-> A(8) cons :: [A(0) x A(0)] -(0)-> A(0) empty :: [] -(0)-> A(8) empty :: [] -(0)-> A(12) r1 :: [A(8) x A(0)] -(6)-> A(0) rev :: [A(14)] -(12)-> A(0) Cost-free Signatures used: -------------------------- cons :: [A_cf(0) x A_cf(0)] -(0)-> A_cf(0) empty :: [] -(0)-> A_cf(0) r1 :: [A_cf(0) x A_cf(0)] -(0)-> A_cf(0) Base Constructor Signatures used: --------------------------------- cons_A :: [A(0) x A(1)] -(1)-> A(1) empty_A :: [] -(0)-> A(1) * Step 2: Open MAYBE - Strict TRS: r1(cons(x,k),a) -> r1(k,cons(x,a)) r1(empty(),a) -> a rev(ls) -> r1(ls,empty()) - Signature: {r1/2,rev/1} / {cons/2,empty/0} - Obligation: innermost runtime complexity wrt. defined symbols {r1,rev} and constructors {cons,empty} Following problems could not be solved: - Strict TRS: r1(cons(x,k),a) -> r1(k,cons(x,a)) r1(empty(),a) -> a rev(ls) -> r1(ls,empty()) - Signature: {r1/2,rev/1} / {cons/2,empty/0} - Obligation: innermost runtime complexity wrt. defined symbols {r1,rev} and constructors {cons,empty} WORST_CASE(?,O(n^1))