Kripke's Worlds : an introduction to modal logics via Tableaux [electronic resource] / Olivier Gasquet, Andreas Herzig, Bilal Said, François Schwarzentruber.
Gasquet, Olivier, author.
2014
QA9.46
Available Online

Linked e-resources

Linked Resource Online Access

Details

Title Kripke's Worlds : an introduction to modal logics via Tableaux [electronic resource] / Olivier Gasquet, Andreas Herzig, Bilal Said, François Schwarzentruber.
ISBN 9783764385040 electronic book
3764385049 electronic book
9783764385033
DOI https://doi.org/10.1007/978-3-7643-8504-0
Published Basel : Birkhäuser, 2014.
Language English
Description 1 online resource (xv, 198 pages) : illustrations.
Item Number 10.1007/978-3-7643-8504-0 doi
Call Number QA9.46
Dewey Decimal Classification 511.3/14
Summary Possible worlds models were introduced by Saul Kripke in the early 1960s. Basically, a possible worlds model is nothing but a graph with labelled nodes and labelled edges. Such graphs provide semantics for various modal logics (alethic, temporal, epistemic and doxastic, dynamic, deontic, description logics) and also turned out useful for other nonclassical logics (intuitionistic, conditional, several paraconsistent and relevant logics). All these logics have been studied intensively in philosophical and mathematical logic and in computer science, and have been applied increasingly in domains such as program semantics, artificial intelligence, and more recently in the semantic web. Additionally, all these logics were also studied proof theoretically. The proof systems for modal logics come in various styles: Hilbert style, natural deduction, sequents, and resolution. However, it is fair to say that the most uniform and most successful such systems are tableaux systems. Given a logic and a formula, they allow one to check whether there is a model in that logic. This basically amounts to trying to build a model for the formula by building a tree. This book follows a more general approach by trying to build a graph, the advantage being that a graph is closer to a Kripke model than a tree. It provides a step-by-step introduction to possible worlds semantics (and by that to modal and other nonclassical logics) via the tableaux method.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Description based on online resource; title from PDF title page (SpringerLink, viewed November 25, 2013).
Added Author Gasquet, Olivier, author.
Series Studies in universal logic.
Linked Resources Online Access
Record Appears in Online Resources > Ebooks
All Resources
Modelling things with graphs
Talking about graphs
The basics of the model construction method
Logics with simple constraints on models
Logics with transitive accessibility relations
Model Checking
Modal logics with transitive closure.

Browse Subjects

Show more subjects...

Statistics

from
to
Export