* Step 1: Bounds WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: c(ok(X)) -> ok(c(X)) d(ok(X)) -> ok(d(X)) f(mark(X)) -> mark(f(X)) f(ok(X)) -> ok(f(X)) g(ok(X)) -> ok(g(X)) h(mark(X)) -> mark(h(X)) h(ok(X)) -> ok(h(X)) top(mark(X)) -> top(proper(X)) top(ok(X)) -> top(active(X)) - Signature: {c/1,d/1,f/1,g/1,h/1,top/1} / {active/1,mark/1,ok/1,proper/1} - Obligation: innermost runtime complexity wrt. defined symbols {c,d,f,g,h,top} and constructors {active,mark,ok,proper} + Applied Processor: Bounds {initialAutomaton = minimal, enrichment = match} + Details: The problem is match-bounded by 1. The enriched problem is compatible with follwoing automaton. active_0(2) -> 2 active_1(2) -> 5 c_0(2) -> 1 c_1(2) -> 3 d_0(2) -> 1 d_1(2) -> 3 f_0(2) -> 1 f_1(2) -> 4 g_0(2) -> 1 g_1(2) -> 3 h_0(2) -> 1 h_1(2) -> 4 mark_0(2) -> 2 mark_1(4) -> 1 mark_1(4) -> 4 ok_0(2) -> 2 ok_1(3) -> 1 ok_1(3) -> 3 ok_1(4) -> 1 ok_1(4) -> 4 proper_0(2) -> 2 proper_1(2) -> 5 top_0(2) -> 1 top_1(5) -> 1 * Step 2: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak TRS: c(ok(X)) -> ok(c(X)) d(ok(X)) -> ok(d(X)) f(mark(X)) -> mark(f(X)) f(ok(X)) -> ok(f(X)) g(ok(X)) -> ok(g(X)) h(mark(X)) -> mark(h(X)) h(ok(X)) -> ok(h(X)) top(mark(X)) -> top(proper(X)) top(ok(X)) -> top(active(X)) - Signature: {c/1,d/1,f/1,g/1,h/1,top/1} / {active/1,mark/1,ok/1,proper/1} - Obligation: innermost runtime complexity wrt. defined symbols {c,d,f,g,h,top} and constructors {active,mark,ok,proper} + Applied Processor: EmptyProcessor + Details: The problem is already closed. The intended complexity is O(1). WORST_CASE(?,O(n^1))