We prove optimal lower bounds for multilinear circuits and for monotone circuits with bounded depth. These lower bounds state that, in order to compute certain functions, these cir...
Polynomial interpretations are a useful technique for proving termination of term rewrite systems. In an automated setting, termination tools are concerned with parametric polynomi...
Friedrich Neurauter, Aart Middeldorp, Harald Zankl
All major semantics of normal logic programs and normal logic programs with aggregates can be described as fixpoints of the one-step provability operator or of operators that can...
Conditional logics capture default entailment in a modal framework in which non-monotonic implication is a first-class citizen, and in particular can be negated and nested. There i...
Abstract. Monotone systems of polynomial equations (MSPEs) are systems of fixedpoint equations X1 = f1(X1, . . . , Xn), . . . , Xn = fn(X1, . . . , Xn) where each fi is a polynomia...
Javier Esparza, Stefan Kiefer, Michael Luttenberge...