S. Ghilardi, M. Zawadowski

Sheaves, Games, and Model Completions

A Categorical Approach to Nonclassical Propositional Logics

• Gebundenes Buch

Produktbeschreibung

This book investigates propositional intuitionistic and modal logics from an entirely new point of view, covering quite recent and sometimes yet unpublished results. It mainly deals with the structure of the category of finitely presented Heyting and modal algebras, relating it both with proof theoretic and model theoretic facts: existence of model completions, amalgamability, Beth definability, interpretability of second order quantifiers and uniform interpolation, definability of dual connectives like difference, projectivity, etc. are among the numerous topics which are covered. Dualities and sheaf representations are the main techniques in the book, together with Ehrenfeucht-Fraissé games and bounded bisimulations. The categorical instruments employed are rich, but a specific extended Appendix explains to the reader all concepts used in the text, starting from the very basic definitions to what is needed from topos theory.
Audience: The book is addressed to a large spectrum of professional logicians, from such different areas as modal logics, categorical and algebraic logic, model theory and universal algebra.

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Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.

Produktdetails

• Trends in Logic 14
• Verlag: Springer Netherlands
• 2002 edition
• Seitenzahl: 245
• Erscheinungstermin: 31. Juli 2002
• Englisch
• Abmessung: 234mm x 156mm x 16mm
• Gewicht: 539g
• ISBN-13: 9781402006609
• ISBN-10: 1402006608
• Artikelnr.: 25872747

Inhaltsangabe

1. Introduction.- 2. Preliminary Notions.- 3. Model Completions.- 4. Heyting Algebras.- 5. Duality for Modal Algebras.- 6. Model Completions in Modal Logic.- 7. Algebraically Closed Models.- 8. Open Problems.- 9. Appendix. References.- Glossary of Notation.- Subject Index.