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First Steps in Modal Logic - Sally Popkorn

First Steps in Modal Logic

Hardcover Published: 27th January 1995
ISBN: 9780521464826
Number Of Pages: 332

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This is a first course in propositional modal logic, suitable for mathematicians, computer scientists and philosophers. Emphasis is placed on semantic aspects, in the form of labelled transition structures, rather than on proof theory. The book covers all the basic material - propositional languages, semantics and correspondence results, proof systems and completeness results - as well as some topics not usually covered in a modal logic course. It is written from a mathematical standpoint. To help the reader, the material is covered in short chapters, each concentrating on one topic. These are arranged into five parts, each with a common theme. An important feature of the book is the many exercises and an extensive set of solutions is provided.

"This text should appeal to anyone with an interest in model logic...an attractive choice for self-study." J.M. Plotkin, Mathematical Reviews "...offers a distinctive viewpoint and is easy to learn from." D.V. Feldman, Choice

Introduction
Acknowledgements
Preliminaries
Survey of propositional logic
The modal language
Transition Structures and Semantics
Labelled transition structures
Valuation and satisfaction
Correspondence theory
The general confluence result
Proof Theory and Completeness
Some consequence relations
Standard formal systems
The general completeness result
Kripke-completeness
Model Constructions
Bismulations
Filtrations
The finite model property
More Advanced Material
SLL logic
Lob logic
Canonicity without the fmp
Transition structures aren't enough
Two Appendices
Bibliography
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521464826
ISBN-10: 052146482X
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 332
Published: 27th January 1995
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 2.2
Weight (kg): 0.66