WORST_CASE(?,O(n^1)) * Step 1: Bounds WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: dbl(0(),y) -> y dbl(S(0()),S(0())) -> S(S(S(S(0())))) save(0()) -> 0() save(S(x)) -> dbl(0(),save(x)) - Signature: {dbl/2,save/1} / {0/0,S/1} - Obligation: innermost runtime complexity wrt. defined symbols {dbl,save} and constructors {0,S} + Applied Processor: Bounds {initialAutomaton = perSymbol, enrichment = match} + Details: The problem is match-bounded by 1. The enriched problem is compatible with follwoing automaton. 0_0() -> 1 0_0() -> 3 0_1() -> 4 0_1() -> 8 0_1() -> 9 S_0(1) -> 2 S_0(1) -> 3 S_0(2) -> 2 S_0(2) -> 3 S_1(5) -> 3 S_1(6) -> 5 S_1(7) -> 6 S_1(8) -> 7 dbl_0(1,1) -> 3 dbl_0(1,2) -> 3 dbl_0(2,1) -> 3 dbl_0(2,2) -> 3 dbl_1(8,9) -> 4 dbl_1(9,9) -> 4 dbl_1(9,9) -> 9 save_0(1) -> 4 save_0(2) -> 4 save_1(1) -> 4 save_1(1) -> 9 save_1(2) -> 4 save_1(2) -> 9 1 -> 3 2 -> 3 9 -> 4 * Step 2: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak TRS: dbl(0(),y) -> y dbl(S(0()),S(0())) -> S(S(S(S(0())))) save(0()) -> 0() save(S(x)) -> dbl(0(),save(x)) - Signature: {dbl/2,save/1} / {0/0,S/1} - Obligation: innermost runtime complexity wrt. defined symbols {dbl,save} and constructors {0,S} + Applied Processor: EmptyProcessor + Details: The problem is already closed. The intended complexity is O(1). WORST_CASE(?,O(n^1))