Dov M Gabbay, Larisa Maksimova

Interpolation and Definability

Modal and Intuitionistic Logic

• Gebundenes Buch

Produktbeschreibung

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 PhilosophicalLogic, 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.

Produktdetails

• Verlag: Sydney University Press
• Seitenzahl: 524
• Erscheinungstermin: 28. Juli 2005
• Englisch
• Abmessung: 244mm x 164mm x 42mm
• Gewicht: 884g
• ISBN-13: 9780198511748
• ISBN-10: 0198511744
• Artikelnr.: 22216509

Inhaltsangabe

* 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