Lecture Notes in Computer Science
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1 Lecture Notes in Computer Science Edited by G. Goos, J. Hartmanis and J. van Leeuwen 968 Advisory Board: W. Brauer D. Gries J. Stoer
2 Nachum Dershowitz Naomi Lindenstrauss (Eds.) Conditional and Typed Rewriting Systems 4th International Workshop, CTRS-94 Jerusalem, Israel, July 13-15, 1994 Proceedings Springer
3 Series Editors Gerhard Goos, Karlsruhe University, Germany Juris Hartmanis, Cornell University, NY, USA Jan van Leeuwen, Utrecht University, The Netherlands Volume Editors Nachum Dershowitz Department of Computer Science, University of Illinois Urbana, Illinois 61801, USA Naomi Lindenstrauss Department of Computer Science, Hebrew University Givat Ram, Jerusalem 91904, Israel Cataloging-in-Publication data applied for Die Deutsche Bibliothek - CIP-Einheitsaufnahme Conditional and typed rewriting systems 9 4th international workshop ; proceedings / CTRS-94, Jerusalem, Israel, July 13-15, Nachum Dershowitz ; Naomi Lindenstrauss (ed.). - Berlin ; Heidelberg ; New York ; Barcelona ; Budapest ; Hong Kong ; London ; Milan ; Paris ; Tokyo 9 Springer, 1995 (Lecture notes in computer science ; Vol. 968) ISBN NE: Dershowitz, Nachum [Hrsg.]; CTRS <1994, Yerfi~filayirn>; GT CR Subject Classification (1991): D.3,F.4, ISBN Springer-Verlag Berlin Heidelberg New York This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag. Violations are liable for prosecution under the German Copyright Law. 9 Springer-Verlag Berlin Heidelberg 1995 Printed in Germany Typesetting: Camera-ready by author SPIN / Printed on acid-free paper
4 Preface This volume contains the papers presented at the Fourth International Workshop on Conditional (and Typed) Rewriting Systems (CTRS-94). The meeting was held July 13-15, 1994 on the campus of Hebrew University in Jerusalem, Israel, in conjunction with the Twenty-First International Colloquium on Automata, Languages and Programming (ICALP94). This series is dedicated to the study of conditional term rewriting and other extensions of term rewriting systems, such as typed systems, higher-order rewriting, as well as to term rewriting in general. Three previous workshops were held: 9 Orsay, France, July 1987 (Lecture Notes in Computer Science 308, Springer-Verlag); 9 Montreal, Canada, June 1990 (Lecture Notes in Computer Science 516, Springer-Verlag); 9 Pont-h-Mousson, France, July 1992 (Lecture Notes in Computer Science 656, Springer-Verlag). Each paper was reviewed by one or two referees. July 1995 Nachum Dershowitz Naomi Lindenstrauss Program Chairs
5 Co~e~s Associative-Commutative Superposition Leo Bachmair and Harold Ganzinger... 1 A Calculus for Rippling David A. Basin and Toby Walsh Equation Solving in Geometrical Theories Philippe Balbiani LSE Narrowing for Decreasing Conditional Term Rewrite Systems Alexander Bockmayr and Andreas Werner Preserving Confluence for Rewrite Systems with Built-in Operations Reinhard Biindgen Hierarchical Termination Nachum Dershowitz Well-foundedness of Term Orderings M. C. F. Ferreira and H. Zantema A New Characterisation of AC-Termination and Application Jean-Michel Gglis Relative Normalization in Orthogonal Expression Reduction Systems John Glauert and Zurab Khasidashvili On Termination and Confluence of Conditional Rewrite Systems Bernhard Gramlich How to Transform Canonical Decreasing HCTRs into Equivalent Canonical TRSs Claus Hintermeier Termination for Restricted Derivations and Conditional Rewrite Systems Charles Hoot Rewriting for Preorder Relations Paola Inverardi Strong Sequentiality of Left-Linear Overlapping Rewrite Systems Jean-Pierre Jouannaud and Walid Sadfi A Conflict Between Call-by-Need Computation and Parallelism Richard Kennaway The Complexity of Testing Ground Reducibility for Linear Word Rewriting Systems with Variables Gregory Kucherov and Micha~'l Rusinowitch Coherence for Cartesian Closed Categories: A Sequential Approach Akira Mori and Yoshihiro Matsumoto Modular Properties of Constructor-Sharing Conditional Term Rewriting Systems Enno Ohlebusch
6 VIII Church-Rosser Property and Unique Normal Form Property of Non-Duplicating Term Rewriting Systems Yoshihito Toyama and Michio Oyamaguchi The Transformation of Term Rewriting Systems Based on Well-formedness Preserving Mappings Jan C. Verheul and Peter G. Kluit Abstract Notions and Inference Systems for Proofs by Mathematical Induction Claus-Peter Wirth and Elaus Becket Author Index
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