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Reactive Kripke Semantics / by Dov M. Gabbay.

SpringerLink Books Computer Science (2011-2024) Available online

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Format:
Book
Author/Creator:
Gabbay, Dov M., 1945- author.
Contributor:
SpringerLink (Online service)
Series:
Computer Science (Springer-11645)
Cognitive technologies 1611-2482
Cognitive Technologies, 1611-2482
Language:
English
Subjects (All):
Logic, Symbolic and mathematical.
Artificial intelligence.
Logic.
Mathematical Logic and Formal Languages.
Artificial Intelligence.
Mathematical Logic and Foundations.
Local Subjects:
Mathematical Logic and Formal Languages.
Artificial Intelligence.
Mathematical Logic and Foundations.
Logic.
Physical Description:
1 online resource (XII, 442 pages) : 201 illustrations, 10 illustrations in color.
Edition:
First edition 2013.
Contained In:
Springer eBooks
Place of Publication:
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
System Details:
text file PDF
Summary:
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 for PhD students.
Contents:
Chap.1 - A Theory of Hypermodal Logics
Chap.2 - Introducing Reactive Kripke Semantics and Arc Accessibility
Chap.3 - Introducing Reactive Modal Tableaux
Chap.4 - Reactive Intuitionistic Tableaux
Chap.5 - Completeness Theorems for Reactive Modal Logics
Chap.6 - Modal Logics of Reactive Frames
Chap.7 - Global View on Reactivity: Switch Graphs and their Logics
Chap.8 - Reactive Automata
Chap.9 - Reactivity and Grammars: An Exploration
Chap.10 - Reactive Flow Products
Chap.11 - Reactive Standard Deontic Logic
Chap.12 - Reactive Preferential Structures and Nonmonotonic Consequence
References
Index.
Other Format:
Printed edition:
ISBN:
978-3-642-41389-6
9783642413896
Access Restriction:
Restricted for use by site license.

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