Computational Logic

735 Pages·2014·4.37 MB·English

by  Dov M. Gabbay

Handbook of the History of Logic
Volume 9
Computational Logic
Handbook of the History
of Logic
Series Editors
Dov M. Gabbay
John Woods
Handbook of the History of Logic
Computational Logic
Volume 9
Volume edited by
Jörg H. Siekmann
German Research Centre for Artificial Intelligence (DFKI)
Saarland University, Saarbrücken, Germany
Series edited by
Don M. Gabbay
Department of Computer Science
King’s College London
Strand, London, UK
John Woods
Philosophy Department
University of British Columbia
Vancouver, BC Canada
and
Department of Computer Science
King’s College London
Strand, London, UK
and
Department of Philosophy
University of Lethbridge
Lethbridge, Alberta, Canada
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CONTENTS
Editorial Note vii
J¨org Siekmann and Dov Gabbay
List of Authors and Readers viii
Part I. Introduction
Computational Logic 15
J¨org Siekmann
Logic and the Development of the Computer 31
Martin Davis
Part II. General
What is a Logical System? An Evolutionary View: 1964–2014 41
Dov Gabbay
Part III. Automated Reasoning
Interactive Theorem Proving 135
John Harrison, Josef Urban and Freek Wiedijk
Automation of Higher Order Logic 215
Christoph Benzmu¨ller and Dale Miller
Equational Logics and Rewriting 255
Claude Kirchner and H´el`ene Kirchner
Possibilistic Logic — An Overview 283
Didier Dubois and Henri Prade
Computerizing Mathematical Text 343
Fairouz Kamareddine, Joe Wells, Christoph Zengler and
Henk Barendregt
vi Contents
Part IV. Computer Science
Concurrency Theory: a Historical Perspective on Coinduction 399
and Process Calculi
Jos Baeten and Davide Sangiori
Degrees of Unsolvability 443
Klaus Ambos-Spies and Peter A. Fejer
Computational Complexity 495
Lance Fortnow and Steven Homer
Logic Programming 523
Robert Kowalski
Logic and Databases: A History of Deductive databases 571
Jack Minker, Dietmar Seipel and Carlo Zaniolo
Logics for Intelligent Agents and Multi Agent Systems 629
John-Jules Ch. Meyer
Description Logics 659
Matthias Knorr and Pascal Hitzler
Logics for the Semantic Web 679
Pascal Hitzler, Jens Lehmann and Axel Polleres
Index 711
EDITORIAL NOTE
J¨org Siekmann and Dov Gabbay
Becauseofspaceandtimeconsiderations, notalltopicscouldbecoveredbychap-
ters in this Handbook. They will appear in a separate publication soon.
CONTRIBUTORS
AUTHORS
Klaus Ambos-Spies
Heidelberg University, Germany.
[e-mail]
Jos Baeten
CWI Amsterdam, The Netherlands.
[e-mail]
Henk Barendregt
Radboud University Nijmegen, The Netherlands.
[e-mail]
Christoph Benzmu¨ller
Freie Universit¨at Berlin, Gemany.
[e-mail]
Martin Davis
New York University, USA.
[e-mail]
Didier Dubois
IRIT, France.
[e-mail]
Peter A. Fejer
University of Massachusetts Boston, USA.
[e-mail]
Lance Fortnow
Georgia Institute of Technology, USA.
[e-mail]
Dov Gabbay
BarIlanUniversity,Israel;King’sCollegeLondon,UK;UniversityofLuxembourg,
Luxembourg; University of Manchester, UK.
[e-mail]
John R. Harrison
Intel Corporation, USA.
[e-mail]
Contributors ix
Pascal Hitzler
Wright State University, USA.
[e-mail]
Steven Homer
Boston University, USA.
[e-mail]
Fairouz Kamareddine
Herriot Watt University, UK.
[e-mail]
Matthias Knorr
Universidade Nova de Lisboa, Portugal.
[e-mail]
Robert Kowalski
Imperial College London, UK
[e-mail]
Claude Kirchner
Inria, France.
[e-mail]
H´el`ene Kirchner
Inria, France.
[e-mail]
Jens Lehmann
University of Leipzig, Germany
[e-mail]
John-Jules Meyer
Universiteit Utrecht, The Netherlands.
[e-mail]
Dale Miller
Inria, France.
[e-mail]
Jack Minker
University of Maryland, USA.
[e-mail]
Henri Prade
IRIT, France.
[e-mail]
Davide Sangiorgi
University of Bologna, Italy.
[e-mail]