A new modal logic D is introduced. It describes properties of provability by interpreting modality as a deductive closure operator on sets of formulas. Logic D is proven to be dec...
Abstract. It is shown the complete equivalence between the theory of continuous (enumeration) fuzzy closure operators and the theory of (effective) fuzzy deduction systems in Hilbe...
In the paper, we consider the problem of supporting automated reasoning in a large class of knowledge representation formalisms, including terminological and epistemic logics, who...
Fibring is defined as a mechanism for combining logics with a firstorder base, at both the semantic and deductive levels. A completeness theorem is established for a wide class of...
We present a query language called MDatalog, which is an extension of Datalog for multimodal deductive databases. We define modal relational algebras and give the seminaive evalua...