MAYBE * Step 1: DependencyPairs MAYBE + Considered Problem: - Strict TRS: f(X) -> g(h(f(X))) - Signature: {f/1} / {g/1,h/1} - Obligation: innermost runtime complexity wrt. defined symbols {f} and constructors {g,h} + Applied Processor: DependencyPairs {dpKind_ = DT} + Details: We add the following dependency tuples: Strict DPs f#(X) -> c_1(f#(X)) Weak DPs and mark the set of starting terms. * Step 2: UsableRules MAYBE + Considered Problem: - Strict DPs: f#(X) -> c_1(f#(X)) - Weak TRS: f(X) -> g(h(f(X))) - Signature: {f/1,f#/1} / {g/1,h/1,c_1/1} - Obligation: innermost runtime complexity wrt. defined symbols {f#} and constructors {g,h} + Applied Processor: UsableRules + Details: We replace rewrite rules by usable rules: f#(X) -> c_1(f#(X)) * Step 3: Failure MAYBE + Considered Problem: - Strict DPs: f#(X) -> c_1(f#(X)) - Signature: {f/1,f#/1} / {g/1,h/1,c_1/1} - Obligation: innermost runtime complexity wrt. defined symbols {f#} and constructors {g,h} + Applied Processor: EmptyProcessor + Details: The problem is still open. MAYBE