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Lecture Notes in Artificial Intelligence 1328 Subseries of Lecture Notes in Computer Science Edited by J. G. Carbonell and J. Siekmann Lecture Notes in Computer Science Edited by G. Goos, J. Hartmanis and J. van Leeuwen

Christian Retor6 (Ed.) Logical Aspects of Computational Linguistics First International Conference, LACL '96 Nancy, France, September 23-25, 1996 Selected Papers Springer

Series Editors Jaime G. Carbonell, Carnegie Mellon Universit3~ Pittsburgh, PA, USA J6rg Siekmann, University of Saarland, Saarbriicken, Germany Volume Editor Christian Retor6 INRIA Lorraine & CRIN-C.N.R.S. 615 rue du jardin botanique, BP 1Ol F-54602 Villers l&s Nancy cedex, France E-mail: retore@loria.fr Cataloging-in-Publication Data applied for Die Deutsche Bibliothek - ClP-Einheitsaufiudane Loglcal aspe~ of computational linguistics 9 first international conference ; selected papers / LACL '96, Nancy, France, April 23-25, 1996. Christian Retore (ed.). - Berlin ; Heidelber 8 ; New York ; Barcelona ; Budapest ; Hon8 Kon8 ; London, Milan ; Paris ; Santa Clara ; Singapore ; Tokyo " Springer, 1997 (Lecture notes in computer ~'ieaee ; Vol. 1328 "Lecture notes in artificial intellisene, e) ISBN 3-540-63700-1 CR Subject Classification (1991): F.4, F.3, 1.2.7, 1.2.3, J.5 ISBN 3-540-63700-1 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 1997 Printed in Germany Typesetting: Camera ready by author SPIN 10645624 06/3142-5 4 3 2 1 0 Printed on acid-free paper

Preface This volume contains selected papers of the first international conference on Logical Aspects of Computational Linguistics, held in Nancy, France, from September 23 to 25, 1996.1 A general introduction by some members of the committee explains the relevance of developing a conference on this topic, situates the papers, and provides an account of the discussions, namely, New syntaxes for linguistic theories, Logical aspects of the minimalist program, and Logical semantics. The volume contains eighteen selected papers and four invited papers. There were forty-four submissions, their overall quality was high, and selection was difficult. The programme committee is very grateful to everyone who submitted a paper and to all the referees listed overleaf for their essential assistance and generously given time. Let us also thank the participants for the pleasant and stimulating atmosphere during the meeting. The committee is especially grateful to the invited speakers, namely, Jean-Yves GIRARD, 2 Aravind K. JosrIi, Marcus KRACrIT, Dale MILLER, and Edward STABLER (respectively from Marseilles, Philadelphia, Berlin, Philadelphia, and Los Angeles). Indeed, not only did they accept our invitation and give their lectures, but they also substantially contributed to the conference, in particular to the discussions. Finally we wish to thank the two institutions under one roof that co-organized this event, namely INRIh-Lorraine and CRIN-C.N.R.S., as well as the sponsors of this event: France-Tdldcom CNET, Rank Xerox Research Center, l'institut National Polytechnique de Lorraine, l'universitd Henri Poineard, La Rdgion Lorraine, and La Communautd Urbaine du Grand Nancy. More personally, I wish to thank the members of the programme committee and the organizing committee, listed overleaf, for their hard work and support, as well as Roger Hindley, Claude Kirchner, and Pierre Lescanne, who gave me precious advice, not to forget my research project without whom nothing would have happened, CALLIGRAMME (INRIi-Lorraine ~ CRIN-C.N.R.S.). 3 Nancy, July 1997 Christian Retor~ 1 The idea of this conference germinated during a workshop we organized in September 1995 on the same topic, whose selected papers are to be published in the January 1998 isssue of the Journal of Logic, Language and In]ormation. 2 His contribution, Introduction to linear logic, is not included in this volume, but Jean-Yves Girard recently published an introduction to linear logic: Linear logic: its syntax and semantics. In J.-Y. Girard, Y. Lafont and L. Regnier (Eds.) Advances in Linear Logic, volume 222 of London Mathematical Society Lecture Notes. Cambridge University Press, 1995. pp. 1-42 3 CALLIGRAMME, Logique lindaire, r~seaux de ddmonstration et grammaires catggorielles: D. Bechet, Ph. de Groote (group leader), F. Lamarche, A. Lecomte, S. Malecki, J.-Y. Marion, G. Perrier, N. Pierre (secretary), C. Retort.

VI Programme Committee V. Michele Abrusci Patrick Blackburn Marc Dymetman Mark Johnson Alain Lecomte Michael Moortgat Glyn V. Morrill Aarne Ranta Christian Retor4 (Chair) Eric Villemonte de la Clergerie Universit~ di Roma tre Universit/~t des Saarlandes, Saarbrficken Rank Xerox Research Center, Grenoble Brown University, Providence Universitd Grenoble 2 &: INRIA-Lorraine OTS, Universiteit Utrecht Universitat Polit~cnica de Catalunya, Barcelona Helsingin Yliopisto INRIA-Lorraine & CRIN-CNRS, Nancy INRIA-Rocquencourt Additional Reviewers Josd L. Balc~;zar Franqois Barthdldmy Kalyan Basu Denis Bechet Francine Blanchet-Sadri Joachim Gabarr6 Bertrand Gaiffe Philippe de Groote Herman Hendriks Miki Hermann Barbara Heyd Hdl~ne Kirchner Franqois Lamarche Bernard Lang Denis Lugiez Sophie Malecki Richard Oehrle Guy Perrier Anne Reboul Laurent Romary Michael Rusinowitch Klaus Schulz Pascale Sdbillot Organizing Committee Denis Bechet, Anne-Lise Charbonnler, Philippe de Groote, Francois Lamarche, Bernard Lang *, Guy Perrier, Nathalie Pierre, Christian Retor~ (Chair), Armelle Savary INRIA-Lorraine & CRIN-CNRS, Nancy -- * : INRIA, Rocquencourt

Table of Contents Logical aspects of computational linguistics: an introduction Patrick Blackburn, Marc Dymetman, Alain Lecomte, Aarne Ranta, Christian Retord, and Eric Villemonte de la Clergerie... 1 Invited papers Partial proof trees, resource sensitive logics, and syntactic constraints Aravind K. Joshi and Seth Kulick... 21 Inessential features Marcus Kracht... 43 Linear logic as logic programming: an abstract Dale Miller... 63 Derivational minimalism Edward Stabler... 68 Selected papers Tree adjoining grammars in non-commutative linear logic V. Michele Abrusci, Christophe Fouquerd, and Jacqueline VauzeiUes... 96 Constructing different phonological bracketings from a proof net Denis Bechet and Philippe de Groote... 118 Vagueness and type theory Pascal Boldini... 134 A natural language explanation for formal proofs Yann Coseoy... 149 Models for polymorphic Lambek calculus Martin Emms... 168 Sloppy identity Claire Gardent... 188 A family of decidable feature logics which support HPSG-style set and list constructions Stephen J. Hegner... 208 Language understanding: a procedural perspective Ruth Kempson, Wilfried Meyer Viol, and Dov Gabbay... 228

VIII The automatic deduction of classificatory systems from linguistic theories Paul John King and Kiril Ivanov Simov... 248 A belief-centered treatment of pragmatic presupposition Lucia H. B. Manara and Anne De Rocck... 274 Connected sets of types and categorial consequence Jacek Marciniec... 292 Generation as deduction on labelled proof nets Josep M. Merenciano and Glyn Morrill... 310 Semilinearity as a syntactic invariant Jens Michaelis and Marcus Kracht... 329 Quantitative constraint logic programming for weighted grammar applications Stefan Riezler... 346 Strict LT2: regular :: local: recognizable James Rogers... 366 Pomset logic and variants in natural languages Irene Schena... 386 Constraint logic programming for computational linguistics Frieder Stolzenburg, Stephan Hghne, Ulrich Koch, and Martin Volk... 406 Representation theorems for residuated groupoids MaRk Szczerba... 426 Author Index... 435