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