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Advances in Modal Logic, Volume 2 cover

Advances in Modal Logic, Volume 2

edited by Michael Zakharyaschev, Krister Segerberg, Maarten de Rijke, and Heinrich Wansing

Modal Logic, originally conceived as the logic of necessity and possibility, has developed into a powerful mathematical and computational discipline. It is the main source of formal languages aimed at analyzing complex notions such as common knowledge and formal provability. Modal and modal-like languages also provide us with families of restricted description languages for relational and topological structures. They are being used in many disciplines, ranging from artificial intelligence, computer science and mathematics via natural language syntax and semantics to philosophy.

This volume presents a broad and up-to-date view of the field, with contributions covering both the foundations of modal logic itself and each of the aforementioned application areas. Complemented with an editorial introduction covering the roots of modal logic, this book is indispensable for any advanced student and researcher in non-classical logic and its applications.

Michael Zakharyaschev is senior lecturer at the department of computer science, King's College London. Krister Segerberg is professor of theoretical philosophy at Uppsala University. Maarten de Rijke is leader of the computational logic group at the Institute for Logic, Language and Computation at the University of Amsterdam. Heinrich Wansing is professor of logic and philosophy of science at the Dresden University of Technology.

Contents

  • Contributors
  • The Origins of Modern Modal Logic Michael Zakharyaschev, Krister Segerberg, Maarten de Rijke, and Heinrich Wansing
  • 1 STS: A Structural Theory of Sets Alexandru Baltag
  • 2 Interpolation, Definability and Fixed Points in Interpretability Logic Carlos Areces, Eva Hoogland, and Dick de Jongh
  • 3 Operations on Proofs that can be Specified by Means of Modal Logic Sergei N. Artemov
  • 4 Modal Logic in Two Gestalts Johan van Benthem
  • 5 Locally Tabular Extensions of MIPC Guram Bezhanishvili and Revaz Grigolia
  • 6 Conditional and Unconditional Obligation for Agents in Time Mark A. Brown
  • 7 How to Complete Some Modal Predicate Logics Max J. Cresswell
  • 8 Dynamics of Practical Reasoning: A Position Paper Dov M. Gabbay
  • 9 A Resolution-Based Decision Procedure for Extensions of K4 Harald Ganzinger, Ullrich Hustadt, Christoph Meyer, and Rante A. Schmidt
  • 10 Modal Logic and Universal Algebra I: Modal Axiomatizations of Structure Valentin Goranko and Dimiter Vakarelov
  • 11 Abductive Reasoning over Temporal Specifications of Objects Paula Gouveia and Christina Sernadas
  • 12 A Modal Analysis of Som Principles of the Provability Logic of Heyting Arithmatic Rosalie Iemhoff
  • 13 Logic and Syntax—A Personal Perspective Marcus Kracht
  • 14 A Co-Variety-Theorem for Modal Logic Alexander Kurz
  • 15 Propositions, Propositional Attitudes and Belief Revision Rohit Parikh
  • 16 Rasiowa-Sikorski Lemma and Kripke Completeness of Predicate and Infinitary Modal Logics Yoshihito Tanaka and Hiroakira Ono
  • 17 Canonical Pseudo-Correspondence Yde Venema
  • 18 Dynamic Description Logics Frank Wolter and Michael Zakharyaschev
  • Subject Index
  • Author Index

3/15/2001

ISBN (Paperback): 1575862727 (9781575862729)
ISBN (Cloth): 1575862719 (9781575862712)

Information about other volumes can be found at AiML.NET including Volume 1 also by CSLI Publications.

Subject: Linguistics; Modality

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