We compare the expressive power on finite models of two extensions of first order logic L with equality. L(Ct) is formed by adding an operator count{x : ϕ}, which builds a term ...
Abstract. Possibly the most famous algorithmic meta-theorem is Courcelle's theorem, which states that all MSO-expressible graph properties are decidable in linear time for gra...
In the framework of perfect loop nests with uniform dependences, tiling has been extensively studied as a source-to-source program transformation. We build upon recent results by ...
Frederic Desprez, Jack Dongarra, Fabrice Rastello,...
We study the extremal parameter N(n, m, H) which is the largest number of copies of a hypergraph H that can be formed of at most n vertices and m edges. Generalizing previous work...
Abstract. We offer a new understanding of some aspects of practical SAT-solvers that are based on DPLL with unit-clause propagation, clause-learning, and restarts. On the theoreti...
Albert Atserias, Johannes Klaus Fichte, Marc Thurl...