Overview

""Mathematical Problems from Applied Logic II"" presents chapters from selected, world renowned, logicians. Important topics of logic are discussed from the point of view of their further development in light of requirements arising from their successful application in areas such as Computer Science and AI language. Fields covered include: logic of provability, applications of computability theory 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. Contributors include: Sergei Artemov, USA; John Case, USA; Sergei Goncharov, Russia, Judit X. Madarász, István Németi, and Gergely, Székely, Hungary, Anil Nerode, USA and Dimiter Vakarelov, Bulgaria.

Full Product Details

Author:   Dov Gabbay ,  Sergei Goncharov ,  Michael Zakharyaschev
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2nd Revised edition
Volume:   5
Dimensions:   Width: 15.50cm , Height: 2.20cm , Length: 23.50cm
Weight:   1.570kg
ISBN:  

9780387692449

ISBN 10:   0387692444
Pages:   354
Publication Date:   02 April 2007
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

On Two Models of Provability: Provability Logic, Logic of Proofs.- Directions for Computability Theory Beyond Pure Mathematical: Motivations, Directions, Progress So Far And How One Might Go From Here.- Computability and Computable Models: Preliminaries, Bounds for Computable Models, Structure Complexity of Computable Models, Isomorphism Problem, Classes of Computable Models and Index Sets.- First-order Logic Foundation of Relativity Theories: Introduction (Logic and Spacetime Geometry), More Concrete Introduction (Foundation of Spacetime), Intriguing Features of GR Spacetimes (Challenges for the Logician), A FOL Axiom System of SR Extended with Accelerated Observers, One Step toward GR (Effect of Gravitation on Clocks), Questions, Suggestions for Future Research.- Beyond Hybrid Systems: Digital Programs, Continuous Plants and Controllers, Hybrid Systems, Discretization, Continualization, Methodology.- Region-Based Theory of Space: Algebras of Regions, Representation Theory, and Logics: Historical Excursion in the Region-Based Theory of Space, Algebras of Regions, Models, and Representation Theory, Region-Based Propositional Modal Logics of Space.

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