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  • © 2013

Reactive Kripke Semantics

Authors:

  • First consolidated monograph on reactive Kripke semantics
  • Suitable for researchers in mathematical logic
  • First presents detailed theory of reactive Kripke semantics then applications in a variety of areas

Part of the book series: Cognitive Technologies (COGTECH)

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Table of contents (12 chapters)

  1. Front Matter

    Pages I-XII
  2. Introducing Reactive Modal Tableaux

    • Dov M. Gabbay
    Pages 77-99
  3. Reactive Intuitionistic Tableaux

    • Dov M. Gabbay
    Pages 101-117
  4. Modal Logics of Reactive Frames

    • Dov M. Gabbay
    Pages 169-202
  5. Reactive Automata

    • Dov M. Gabbay
    Pages 237-256
  6. Reactivity and Grammars: An Exploration

    • Dov M. Gabbay
    Pages 257-308
  7. Reactive Flow Products

    • Dov M. Gabbay
    Pages 309-343
  8. Reactive Standard Deontic Logic

    • Dov M. Gabbay
    Pages 345-387
  9. Back Matter

    Pages 431-442

About this book

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.

Reviews

“This book is devoted to a new and so far little explored research topic, developed mostly by the author since the early 2000s. … this book is rich with ideas and interesting in various ways. It is written in the distinct Gabbay’s trademark style. It can surely serve as a rich source of inspiration and research ideas … .” (Valentin Goranko, Studia Logica, Vol. 105, 2017)

Authors and Affiliations

  • Department of Computer Science, Bar-Ilan University, Ramat-Gan, Israel

    Dov M. Gabbay

About the author

The author is one of the foremost authorities on nonclassical logics and their applications in computing.

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access