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About this product
Product Identifiers
PublisherCambridge University Press
ISBN-100521057930
ISBN-139780521057936
eBay Product ID (ePID)65637553
Product Key Features
Number of Pages332 Pages
LanguageEnglish
Publication NameFirst Steps in Modal Logic
SubjectLogic
Publication Year2008
TypeTextbook
AuthorSally Popkorn
Subject AreaMathematics
FormatTrade Paperback
Dimensions
Item Height0.8 in
Item Weight19.1 Oz
Item Length9 in
Item Width6 in
Additional Product Features
Intended AudienceScholarly & Professional
Dewey Edition20
Reviews"This text should appeal to anyone with an interest in model logic...an attractive choice for self-study." J.M. Plotkin, Mathematical Reviews
IllustratedYes
Dewey Decimal511.3
Table Of ContentIntroduction; Acknowledgements; Part I. Preliminaries: 1. Survey of propositional logic; 2. The modal language; Part II. Transition Structures and Semantics: 3. Labelled transition structures; 4. Valuation and satisfaction; 5. Correspondence theory; 6. The general confluence result; Part III. Proof Theory and Completeness: 7. Some consequence relations; 8. Standard formal systems; 9. The general completeness result; 10. Kripke-completeness; Part IV. Model Constructions: 11. Bismulations; 12. Filtrations; 13. The finite model property; Part V. More Advanced Material: 14. SLL logic; 15. Löb logic; 16. Canonicity without the fmp; 17. Transition structures aren't enough; Part VI. Two Appendices: Bibliography.
SynopsisThis is a graduate-level text for a first course in propositional modal logic. It is written from the semantical point of view rather than the more usual proof theoretic approach, and the book covers all basic material including the propositional languages, the semantics and correspondence results, and proof systems and completeness results--as well as some topics not usually covered in a modal logic course, such as bisimulation. Important features of the book are the many exercises and extensive set of solutions that are included., 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., 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.