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Lecture Notes in Computer Science Edited by G. Goos, J. Hartmanis and J. van Leeuwen 1138 Advisory Board: W. Brauer D. Gries J. Stoer

Jacques Calmet John A. Campbell Jochen Pfalzgraf (Eds.) Artificial Intelligence and Symbolic Mathematical Computation International Conference, AISMC-3 Steyr, Austria, September 23-25, 1996 Proceedings Springer

Series Editors Gerhard Goos, Karlsruhe University, Germany Juris Hartmani8, Cornell University, NY, USA Jan van Leeuwen, Utrecht University, The Netherlands Volume Editors Jacques Calmet University of Karlsruhe Am Fasanengarten 5, D-76128 Karlsruhe, Germany E-mail: calmet@ira.uka.de John A. Campbell University College London Gower Street, WC1E 6BT London, United Kingdom E-mail: jac@cs.ucl.ac.uk Jochen Pfalzgraf RISC-Linz, Johannes Kepler University A-4040 Linz, Austria E-mail: pfalzgraf@risc.uni-linz.ac.at Cataloging-in-Publication data applied for Die Deutsche Bibliothek - CIP-Einheitsaufnahme Artificial intelligence and symbolic mathematical computation : international conference ; proceedings / AISMC-3, Steyr, Austria, September 23-25, 1996. Jacques Calmet... (ed.). - Berlin ; Heidelberg ; New York ; Barcelona ; Budapest ; Hong Kong ; London ; Milan ; Paris ; Santa Clara ; Singapore ; Tokyo : Springer, 1996 (Lecture notes in computer science ; Vol. 1138) ISBN 3-540-61732-9 NE: Calmet, Jacques [Hrsg.]; AISMC <3, 1996, Steyr>; GT CR Subject Classification (1991): 1.1-2, G.1-2,F.4.1 ISSN 0302-9743 ISBN 3-540-61732-9 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-Vedag Berlin Heidelberg 1996 Printed in Germany Typesetting: Camera-ready by author SPIN 10513681 06/3142-5 4 3 2 1 0 Printed on acid-free paper

- Hagenberg Foreword This volume of the Lecture Notes in Computer Science presents the proceedings of the Third International Conference on Artificial Intelligence and Symbolic Mathematical Computation (AISMC-3), held in Steyr (Austria), September 23-25, 1996, and organised by RISC-Linz (Research Institute for Symbolic Computation, Universtiy of Linz) with support from ProFactor (Steyr). The AISMC initiative is an interdisciplinary forum which aims at bringing together people from different areas of research and application fields. Emphasis is on the interaction of methods and problem solving approaches from AI and symbolic mathematical computations in a wide sense. The originators of the AISMC initiative are Jacques Calmet and John A. Campbell. AISMC-3 continues the successful events AISMC-1, organised by J.Calmet (Karlsruhe, August 1992), and A]SMC-2, organised by J.A.Campbell (Cambridge, August 1994). The proceedings of these conferences have been published as Springer LNCS volumes 737 and 958, respectively. It is intended to continue these meetings biannually. An introductory overview of the basic ideas and intentions behind AISMC can be found in the opening paper by the first two editors in the proceedings of AIMSC-1. To stress applications and to establish ]inks to engineering disciplines we incorporated in AISMC-3 the branch "Engineering and Industrial Applications". At the end of the first conference day a panel discussion was devoted to this topic. The conference site in Steyr is a restored old factory building which is now a museum called "Museum industrielle Arbeitswelt". In this sense we consider the conference as an event embedded in the local "cooperation triangle" Linz - Steyr. This triangle was set up to integrate the cooperation of university institutes and companies. Bruno Buchberger, the director and founder of RISC, has been and still is one of the main propagators and initiators of this idea. The papers in the proceedings are listed according to the schedule of talks at the conference. As one can see, the titles of the articles reflect the interdisciplinary character of the meeting. Four invited talks are devoted to different areas. We thank the invited speakers for timely sending the full manuscripts of their contribution. The conference is sponsored by AAAI, ProFactor (Steyr), RISC-Linz and several other institutions and companies (which cannot be listed here as these proceedings go to print). We are grateful to all of them. Last not least we would like to thank all the program committee members and the referees for their valuable support. June 1996 Jacques Calmet, John A. Campbell, Jochen Pfalzgraf

Vf Conference Committee: Jacques Calmet (Karlsruhe, Germany) John A. Campbell (London, UK) Jochen Pfalzgraf (Linz, Austria - Conference Chairman) Program Committee: L. Aiello (Rome) F. Arlabosse (Paris) B. Buchberger (Linz) G. Butler (Montreal) R. Caferra (Grenoble) J. Calmer (Karlsruhe) J.A. Campbell (London) H. Clausen (Salzburg) A.M. Cohen (Eindhoven) J. Cunningham (London) H. Geiger (Munich) R. Goebl (Vienna) K. Hingerl (Steyr) D. Kapur (Albany NY) L. Kerschberg (Fairfax VA) H. Kobayashi (Tokyo) R. Leisen (Bonn) A. Miola (Rome) E. Orlowska (Warsaw) J. Pfalzgraf (Linz) F. Pfenning (Pittsburgh PA) G. Reihart (Munich) M. Rigg (Bracknell) W, Roque (Porto Alegra) J. Rosicky (Brno) E. Sandewall (Linkbping) K.U. Schulz (Munich) A. Semenov (Novosibirsk) T. Takeshima (Shizuoka) T. Wilson (Ithaca NY) Organized by: Local Organizers: RISC-Linz, Johannes-Kepler-Universit~.t Linz M. Meisinger M. Schleicher V. Sofronie K. Stokkermans

Table of Contents Symbolic Computation and Teaching (Invited Lecture)... 1 D.S. Scott Analytica - An Experiment in Combining Theorem Proving and Symbolic Computation... 21 A. Bauer, E. Clarke, X. Zhao Document Recognition, Semantics, and Symbolic Reasoning in Reverse Engineering of Software... 38 G. Butler, P. Grogono, R. Shinghal, I. Tjandra Compromised Updates in Labelled Databases... 49 F.C.C. Dargam An Inference Engine for Propositional Two-valued Logic Based on the Radical Membership Problem... 71 E. Roanes-Lozano, L.M. Laita, E. Roanes-Macfas Programming by Demonstration: A Machine Learning Approach to Support Skill Acquisition for Robots "Invited Lecture)... 87 R. Dillmann, H. Friedrich Knowledge-Based Information Processing in Manufacturing Cells -- The Present and the Future... 109 G. Reinhart, R. Diesch, M.R. Koch Calculi for Qualitative Spatial Reasoning (Invited Lecture)... 124 A.G. Cohn Combining Local Consistency, Symbolic Rewriting and Interval Methods... 144 F. Benhamou, L. Granvilliers Proof Transformation for Non-Compatible Rewriting... 160 R. Biindgen PATCH Graphs: An Efficient Data Structure for Completion of Finitely Presented Groups... 176 C. Lynch, P. Strogova Measuring the Likely Effectiveness of Strategies... 191 B.J. Duple

viii A New Approach on Solving 3-Satisfiability... 197 R. Rodo~ek Geometry Machines: From Artificial Intelligence to Symbolic Mathematical Computation (Invited Lecture)... 213 D. Wang Interactive Theorem Proving and Finite Projective Planes... 240 J. Ueberberg Towards Modelling the Topology of Homogeneous Manifolds by means of Symbolic Computation... 258 M. Joswig Solving Geometrical Constraint Systems Using CLP Based on Linear Constraint Solver... 274 D. Bouhineau Towards a Sheaf Semantics for Cooperating Agents Scenarios... 289 V. Sofronie Data Types in Subdefinite Models... 305 V. Telerman, D. Ushakov On Theorem-proving in Horn Theories with Built-in Algebras... 320 N. Andrianarivelo, W. Bousdira, J.-M. Talbot Backward Reasoning in Systems with Cut... 339 E. Eder Soundness and Completeness versus Lifting Property... 354 J.A. Plaza Reasoning with Preorders and Dynamic Sorts Using Free Variable Tableaux... 365 A. Gavilanes, J. Leach, P.J. Martin, S. Nieva Author Index... 381