MAYBE * Step 1: DependencyPairs MAYBE + Considered Problem: - Strict TRS: *(x,+(y,f(z))) -> *(g(x,z),+(y,y)) *(*(x,y),z) -> *(x,*(y,z)) *(+(x,y),z) -> +(*(x,z),*(y,z)) - Signature: {*/2} / {+/2,f/1,g/2} - Obligation: innermost runtime complexity wrt. defined symbols {*} and constructors {+,f,g} + Applied Processor: DependencyPairs {dpKind_ = DT} + Details: We add the following dependency tuples: Strict DPs *#(x,+(y,f(z))) -> c_1(*#(g(x,z),+(y,y))) *#(*(x,y),z) -> c_2(*#(x,*(y,z)),*#(y,z)) *#(+(x,y),z) -> c_3(*#(x,z),*#(y,z)) Weak DPs and mark the set of starting terms. * Step 2: Failure MAYBE + Considered Problem: - Strict DPs: *#(x,+(y,f(z))) -> c_1(*#(g(x,z),+(y,y))) *#(*(x,y),z) -> c_2(*#(x,*(y,z)),*#(y,z)) *#(+(x,y),z) -> c_3(*#(x,z),*#(y,z)) - Weak TRS: *(x,+(y,f(z))) -> *(g(x,z),+(y,y)) *(*(x,y),z) -> *(x,*(y,z)) *(+(x,y),z) -> +(*(x,z),*(y,z)) - Signature: {*/2,*#/2} / {+/2,f/1,g/2,c_1/1,c_2/2,c_3/2} - Obligation: innermost runtime complexity wrt. defined symbols {*#} and constructors {+,f,g} + Applied Processor: EmptyProcessor + Details: The problem is still open. MAYBE