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Reactive Kripke Semantics

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Reactive Kripke Semantics Synopsis

This text offers an extension to the traditional Kripke semantics for non-classical logics by adding the notion of reactivity. Reactive Kripke models change their accessibility relation as we progress in the evaluation process of formulas in the model. This feature makes the reactive Kripke semantics strictly stronger and more applicable than the traditional one. Here we investigate the properties and axiomatisations of this new and most effective semantics, and we offer a wide landscape of applications of the idea of reactivity. Applied topics include reactive automata, reactive grammars, reactive products, reactive deontic logic and reactive preferential structures.

Reactive Kripke semantics is the next step in the evolution of possible world semantics for non-classical logics, and this book, written by one of the leading authorities in the field, is essential reading for graduate students and researchers in applied logic, and it offers many research opportunities forPhD students.

About This Edition

ISBN: 9783662514368
Publication date: 23rd August 2016
Author: Dov M Gabbay
Publisher: Springer an imprint of Springer Berlin Heidelberg
Format: Paperback
Pagination: 442 pages
Series: Cognitive Technologies
Genres: Mathematical theory of computation
Mathematical logic
Philosophy: logic
Artificial intelligence
Mathematical foundations