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Klappentext 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. Zusammenfassung 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. Inhaltsverzeichnis 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 ...
