First steps in modal logic / Sally Popkorn
- Bib ID:
- 488529
- Format:
- Book
- Author:
- Popkorn, Sally
- Online Version:
-
- Table of contents
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- Sample text
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- Table of contents
- Related Online Resources:
- Publisher description
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- Description:
-
- Cambridge ; New York : Cambridge University Press, 1994
- xiii, 314 p. : ill. ; 24 cm.
- ISBN:
- 052146482X (hardback)
- Summary:
-
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.
- Full contents:
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- I. Preliminaries. 1. Survey of propositional logic. 2. The modal language
- II. Transition structures and semantics. 3. Labelled transition structures. 4. Valuation and satisfaction. 5. Correspondence theory. 6. The general confluence result
- III. Proof theory and completeness. 7. Some consequence relations. 8. Standard formal systems. 9. The general completeness result. 10. Kripke-completeness
- IV. Model constructions. 11. Bisimulations. 12. Filtrations. 13. The finite model property
- V. More advanced material. 14. SLL logic. 15. Lob logic. 16. Canonicity without the fmp. 17. Transition structures aren't enough.
- Notes:
- Includes bibliographical references (p. 311-314).
- Subject:
- Modality (Logic)
- Copyright:
-
In Copyright
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Copyright status was determined using the following information:
- Material type:
- Literary Dramatic Musical
- Published status:
- Published
- Publication date:
- 1994
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