Though pictures are often used to present mathematical arguments, they are not typically thought to be an acceptable means for presenting mathematical arguments rigorously. With re...
In Abstract Algebraic Logic, the general study of propositional non-classical logics has been traditionally based on the abstraction of the Lindenbaum-Tarski process. In this proce...
In the context of the Semantic Web, several approaches to the combination of ontologies, given in terms of theories of classical first-order logic, and rule bases have been propo...
Jos de Bruijn, Thomas Eiter, Axel Polleres, Hans T...
Abstract. We consider a realization of Reiter-style default logic on top of description logic knowledge bases (DL-KBs). To this end, we present elegant transformations from default...
We study computational aspects of a probabilistic logic based on a well-known model of induction by Valiant. We prove that for this paraconsistent logic the set of valid formulas ...