First Steps in Modal Logic

Sally Popkorn (Autor)

Buch | Hardcover

332 Seiten

1994
Cambridge University Press (Verlag)
978-0-521-46482-6 (ISBN)

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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.

Introduction; 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.

Erscheint lt. Verlag	8.12.1994
Verlagsort	Cambridge
Sprache	englisch
Maße	152 x 229 mm
Gewicht	660 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
ISBN-10	0-521-46482-X / 052146482X
ISBN-13	978-0-521-46482-6 / 9780521464826
Zustand	Neuware