0. To formulate a semantic theory of modal logic it is not sufficient to define for example, the necessary as that which is true in every model and the possible as that which is true in some model. These definitions would do no more than introduce the notions of ‘necessary’ and ‘possible’ in the metalanguage. A semantics of modal logic demands that we assume an object language containing modal ...

This paper describes QLB, a quantified logic of belief that is a possible extension of the modal system KD45n to predicate level. The main features of QLB are that: (i) it is allowed to quantify over the agents of belief; (ii) the belief operator can be indexed by any term of the formal language; (iii) terms are not rigid designators, but are interpreted contextually; (iv) automatic theorem pro...

We introduce an approach to automatic indexing of e-prints based on a patternmatching technique making extensive use of an Associative Patterns Dictionary (APD), developed by us. Entries in the APD consist of natural language phrases with the same semantic interpretation as a set of keywords from a controlled vocabulary. The method also allows to recognize within e-prints formulae written in TE...

We propose a non-standard interpretation of Alternating-time Temporal Logic with imperfect information, for which no commonly accepted semantics has been proposed yet. Rather than changing the semantic structures, we generalize the usual interpretation of formulae in single states to sets of states. We also propose a new epistemic operator for “practical” or “constructive” knowledge, and we sho...