WORST_CASE(?,O(n^1)) * Step 1: Bounds WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: append(cons(x,xs),ys) -> cons(x,append(xs,ys)) append(nil(),ys) -> ys main(xs) -> append(xs,nil()) - Signature: {append/2,main/1} / {cons/2,nil/0} - Obligation: innermost runtime complexity wrt. defined symbols {append,main} and constructors {cons,nil} + Applied Processor: Bounds {initialAutomaton = minimal, enrichment = match} + Details: The problem is match-bounded by 1. The enriched problem is compatible with follwoing automaton. append_0(2,2) -> 1 append_1(2,2) -> 3 append_1(2,4) -> 1 cons_0(2,2) -> 1 cons_0(2,2) -> 2 cons_0(2,2) -> 3 cons_1(2,1) -> 1 cons_1(2,3) -> 1 cons_1(2,3) -> 3 main_0(2) -> 1 nil_0() -> 1 nil_0() -> 2 nil_0() -> 3 nil_1() -> 1 nil_1() -> 4 2 -> 1 2 -> 3 4 -> 1 * Step 2: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak TRS: append(cons(x,xs),ys) -> cons(x,append(xs,ys)) append(nil(),ys) -> ys main(xs) -> append(xs,nil()) - Signature: {append/2,main/1} / {cons/2,nil/0} - Obligation: innermost runtime complexity wrt. defined symbols {append,main} and constructors {cons,nil} + Applied Processor: EmptyProcessor + Details: The problem is already closed. The intended complexity is O(1). WORST_CASE(?,O(n^1))