Dov M. Gabbay

Michael Zakharyaschev

Sergei S. Goncharov

This is an overview of the current state of knowledge along with open problems and perspectives, clarified in such fields as non-standard inferences in description logics, logic of provability, logical dynamics and computability theory. The book includes contributions concerning the role of logic today, including unexpected aspects of contemporary logic and the application of logic. This book will be of interest to logicians and mathematicians in general.

Logics for the XXIst Century

Mathematical Problems from Applied Logic I

Dov Gabbay

Sergei Goncharov

This book presents contributions from world-renowned logicians, discussing important topics of logic from the point of view of their further development in light of requirements arising from successful application in Computer Science and AI language. Coverage includes: the logic of provability, computability theory applied to biology, psychology, physics, chemistry, economics, and other basic sciences; computability theory and computable models; logic and space-time geometry; hybrid systems; logic and region-based theory of space.

Mathematical Problems from Applied Logic II

Maarten de Rijke

Heinrich Wansing

Frank Wolter

Advances in Modal Logic is a unique forum for presenting the latest results and new directions of research in modal logic. The topics dealt with are of interdisciplinary interest and range from mathematical, computational, and philosophical problems to applications in knowledge representation and formal linguistics. Volume 3 presents substantial advances in the relational model theory and the algorithmic treatment of modal logics. It contains invited and contributed papers from the third conference on “Advances in Modal Logic”, held at the University of Leipzig (Germany) in October 2000. It includes papers on dynamic logic, description logic, hybrid logic, epistemic logic, combinations of modal logics, tense logic, action logic, provability logic, and modal predicate logic. Contents:From Description to Hybrid Logics, and Back (C Areces & M de Rijke)Homophonic Theory of Truth for Tense Logic (Torben Braüner)Weak Necessity on Weak Kleene Matrices (F Correia)Bimodal Logics for Reasoning About Continuous Dynamics (J M Davoren & R P Goré)From Bisimulation Quantifiers to Classifying Toposes (S Ghilardi & M Zawadowski)Normal Products of Modal Logics (Y Hasimoto)A Tableau Algorithm for the Clique Guarded Fragment (C Hirsch & S Tobies)The Complexity of Reasoning with Boolean Modal Logics (C Lutz & U Sattler)Outline of a Logic of Action (K Segerberg)Belief, Names, and Modes of Presentation (R Ye & M Fitting)and other papers Readership: Researchers and advanced students in mathematical logic, philosophical logic, computer science logic, artificial intelligence and formal linguistics. Keywords:Modal Logics;Description Logics;Semantic Processing Homophonic Theory;Algorithmic Correspondence Theory

Volume 3

Advances in Modal Logic

Michael Zakharyaschev

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