We prove a vector space analog of a version of the Kruskal-Katona theorem due to Lov´asz. We apply this result to extend Frankl’s theorem on r-wise intersecting families to vec...
We overview the development of first-order automated reasoning systems starting from their early years. Based on the analysis of current and potential applications of such systems...
By studying the reciprocity property of linear Diophantine systems in light of Malcev-Neumann series, we present in this paper a new approach to and a generalization of Stanley’s...
We propose a new, logical, approach to the decidability problem for the Straubing and Brzozowski hierarchies based on the preservation theorems from model theory, on a theorem of ...
We give a short description of Hybrid, a new tool for interactive theorem proving, s introduced in [4]. It provides a form of Higher Order Abstract Syntax (HOAS) combined consiste...