Interpolation and Definability in Modal Logics: Modal and Intuitionistic Logic

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Overview

This monograph is on interpolation and definability, a notion central in pure logic and with significant meaning and applicability in all areas where logic is applied, especially computer science, artificial intelligence, logic programming, philosophy of science and natural language. Suitable for researchers and graduate students in mathematics, computer science and philosophy, this is the latest in the prestigious world-renowned Oxford Logic Guides, which contains Michael Dummet's Elements of Intuitionism (Second Edition), J.M. Dunn and G. Hardegree's Algebraic Methods in Philosophical Logic, H. Rott's Change Choice and Inference: A Study of Belief Revision and Nonmonotonic Reasoning, P.T. Johnstone's Sketches of an Elephant: A Topos Theory Compendium: Volumes 1 and 2, and David J. Pym and Eike Ritter's Reductive Logic and Proof Search: Proof, Theory, Semantics and Control.

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Product Details

  • ISBN-13: 9780198511748
  • Publisher: Oxford University Press
  • Publication date: 7/28/2005
  • Series: Oxford Logic Guides Series , #46
  • Pages: 522
  • Product dimensions: 9.30 (w) x 6.20 (h) x 1.30 (d)

Meet the Author

King's College London

Siberian Branch of Russian Academy of Science, Novosibirsk

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Table of Contents

1. Introduction and Discussion
2. Modal and Superintuitionistic Logics: Basic Concepts
3. Superintuitionistic Logics and Normal Extensions of the Modal Logics S4
4. The Interpolation Theorem in Intuitionistic Predicate Calculus
5. Interpolation and Definability in Quantified Logics
6. Craig's Theorem in Superintuitionistic Logics and Amalgamable Varieties of Pseudoboolean Algebras
7. Interpolation, Definability, Amalgamation
8. Interpolation in Normal Extensions of the Modal Logic S4
9. Complexity of Some Problems in Modal and Intuitionistic Calculi
10. Interpolation in Modal Infinite Slice Logics Containing the Logic K4
11. An Analog of Beth's Theorem in Normal Extensions of the Modal Logic K4
12. Extensions of the Provability Logic
13. Syntactic Proof of Interpolation for the Intuitionistic Predicate Logic
14. Interpolation by Translation
15. Interpolation in (Intuitionistic) Logic Programming
16. Interpolation in Goal-directed Proof Systems
17. Further Results and Discussion
Appendix
References
Index

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