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Lecture Notes in Computer Science 9804 Commenced Publication in 1973 Founding and Former Series Editors: Gerhard Goos, Juris Hartmanis, and Jan van Leeuwen Editorial Board David Hutchison, UK Josef Kittler, UK Friedemann Mattern, Switzerland Moni Naor, Israel Bernhard Steffen, Germany Doug Tygar, USA Takeo Kanade, USA Jon M. Kleinberg, USA John C. Mitchell, USA C. Pandu Rangan, India Demetri Terzopoulos, USA Gerhard Weikum, Germany FoLLI Publications on Logic, Language and Information Subline of Lectures Notes in Computer Science Subline Editors-in-Chief Valentin Goranko, Technical University, Lynbgy, Denmark Michael Moortgat, Utrecht University, The Netherlands Subline Area Editors Nick Bezhanishvili, Utrecht University, The Netherlands Anuj Dawar, University of Cambridge, UK Philippe de Groote, Inria-Lorraine, Nancy, France Gerhard Jäger, University of Tübingen, Germany Fenrong Liu, Tsinghua University, Beijing, China Eric Pacuit, University of Maryland, USA Ruy de Queiroz, Universidade Federal de Pernambuco, Brazil Ram Ramanujam, Institute of Mathematical Sciences, Chennai, India

More information about this series at http://www.springer.com/series/7407

Annie Foret Glyn Morrill Reinhard Muskens Rainer Osswald Sylvain Pogodalla (Eds.) Formal Grammar 20th and 21st International Conferences FG 2015, Barcelona, Spain, August 2015, Revised Selected Papers FG 2016, Bozen, Italy, August 2016, Proceedings 123

Editors Annie Foret IRISA University of Rennes 1 Rennes France Glyn Morrill Department of Computer Science Universitat Politècnica de Catalunya Barcelona Spain Reinhard Muskens Tilburg University Tilburg The Netherlands Rainer Osswald Department of General Linguistics Heinrich-Heine-University Düsseldorf Düsseldorf Germany Sylvain Pogodalla INRIA Nancy Villers-lès-Nancy France ISSN 0302-9743 ISSN 1611-3349 (electronic) Lecture Notes in Computer Science ISBN 978-3-662-53041-2 ISBN 978-3-662-53042-9 (ebook) DOI 10.1007/978-3-662-53042-9 Library of Congress Control Number: 2016945939 LNCS Sublibrary: SL1 Theoretical Computer Science and General Issues Springer-Verlag Berlin Heidelberg 2016, corrected publication 2018 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer-Verlag GmbH Berlin Heidelberg

Preface The Formal Grammar conference series (FG) provides a forum for the presentation of new and original research on formal grammar, mathematical linguistics, and the application of formal and mathematical methods to the study of natural language. Themes of interest include, but are not limited to: Formal and computational phonology, morphology, syntax, semantics, and pragmatics Model-theoretic and proof-theoretic methods in linguistics Logical aspects of linguistic structure Constraint-based and resource-sensitive approaches to grammar Learnability of formal grammar Integration of stochastic and symbolic models of grammar Foundational, methodological, and architectural issues in grammar and linguistics Mathematical foundations of statistical approaches to linguistic analysis Previous FG meetings were held in Barcelona (1995), Prague (1996), Aix-en-Provence (1997), Saarbrücken (1998), Utrecht (1999), Helsinki (2001), Trento (2002), Vienna (2003), Nancy (2004), Edinburgh (2005), Malaga (2006), Dublin (2007), Hamburg (2008), Bordeaux (2009), Copenhagen (2010), Ljubljana (2011), Opole (2012), Düsseldorf (2013), and Tübingen (2014). FG 2015, the 20th Conference on Formal Grammar, was held in Barcelona during August 8 9, 2015. The proceedings comprise two invited contributions, by Robin Cooper and Tim Fernando, and nine contributed papers selected from 13 submissions. The present volume includes the two invited papers and eight revised versions of the contributed papers. FG 2016, the 21st Conference on Formal Grammar, was held in Bolzano-Bozen during August 20 21, 2016. The conference comprised two invited talks, by Frank Drewes and Mehrnoosh Sadrzadeh, and eight contributed papers selected from 11 submissions. The present volume includes the contributed papers. We would like to thank the people who made the 20th and 21th FG conferences possible: the invited speakers, the members of the Program Committees, and the organizers of ESSLLI 2015 and ESSLLI 2016, with which the conferences were colocated. June 2016 Annie Foret Glyn Morrill Reinhard Muskens Rainer Osswald Sylvain Pogodalla

FG 2015 Organization Program Committee Alexander Clark Berthold Crysmann Denys Duchier Philippe de Groote Nissim Francez Laura Kallmeyer Makoto Kanazawa Gregory Kobele Robert Levine Wolfgang Maier Stefan Müller Mark-Jan Nederhof Gerald Penn Christian Retoré Manfred Sailer Edward Stabler Jesse Tseng Oriol Valentín King s College London, UK CNRS - LLF (UMR 7110), Paris-Diderot, France Université d Orléans, France Inria Nancy Grand Est, France Technion - IIT, Israel Heinrich-Heine-UniversitätDüsseldorf, Germany National Institute of Informatics, Japan University of Chicago, USA Ohio State University, USA Heinrich-Heine-Universität Düsseldorf, Germany Freie Universität Berlin, Germany University of St Andrews, UK University of Toronto, Canada Université de Montpellier and LIRMM-CNRS, France Goethe University Frankfurt, Germany UCLA and Nuance Communications, USA CNRS, France Universitat Politècnica de Catalunya, Spain Standing Committee Annie Foret Glyn Morrill Reinhard Muskens Rainer Osswald IRISA, University of Rennes 1, France Universitat Politècnica de Catalunya, Spain Tilburg Center for Logic and Philosophy of Science, The Netherlands Heinrich-Heine-UniversitätDüsseldorf, Germany

FG 2016 Organization Program Committee Raffaella Bernardi Alexander Clark Berthold Crysmann Philippe de Groote Nissim Francez Laura Kallmeyer Makoto Kanazawa Gregory Kobele Robert Levine Wolfgang Maier Stefan Müller Mark-Jan Nederhof Christian Retoré Mehrnoosh Sadrzadeh Manfred Sailer Edward Stabler Jesse Tseng Oriol Valentín Free University of Bozen-Bolzano, Italy King s College London, UK CNRS - LLF (UMR 7110), Paris-Diderot, France Inria Nancy Grand Est, France Technion - IIT, Israel Heinrich-Heine-UniversitätDüsseldorf, Germany National Institute of Informatics, Japan University of Chicago, USA Ohio State University, USA Heinrich-Heine-Universität Düsseldorf, Germany Freie Universität Berlin, Germany University of St Andrews, UK Université de Montpellier and LIRMM-CNRS, France Queen Mary University of London, UK Goethe University Frankfurt, Germany UCLA and Nuance Communications, USA CNRS, France Universitat Politècnica de Catalunya, Spain Standing Committee Annie Foret Reinhard Muskens Rainer Osswald Sylvain Pogodalla IRISA, University of Rennes 1, France Tilburg Center for Logic and Philosophy of Science, The Netherlands Heinrich-Heine-UniversitätDüsseldorf, Germany LORIA/Inria Nancy Grand Est, France

Contents Formal Grammar 2015: Invited Papers Frames as Records......................................... 3 Robin Cooper Types from Frames as Finite Automata........................... 19 Tim Fernando Formal Grammar 2015: Contributed Papers Cyclic Multiplicative-Additive Proof Nets of Linear Logic with an Application to Language Parsing.......................... 43 Vito Michele Abrusci and Roberto Maieli Algebraic Governance and Symmetry in Dependency Grammars.......... 60 Carles Cardó On the Mild Context-Sensitivity of k-tree Wrapping Grammar........... 77 Laura Kallmeyer Distributional Learning and Context/Substructure Enumerability in Nonlinear Tree Grammars.................................. 94 Makoto Kanazawa and Ryo Yoshinaka Between the Event Calculus and Finite State Temporality.............. 112 Derek Kelleher, Tim Fernando, and Carl Vogel A Modal Representation of Graded Medical Statements................ 130 Hans-Ulrich Krieger and Stefan Schulz Models for the Displacement Calculus............................ 147 Oriol Valentín On Some Extensions of Syntactic Concept Lattices: Completeness and Finiteness Results....................................... 164 Christian Wurm Formal Grammar 2016: Contributed Papers Overtly Anaphoric Control in Type Logical Grammar................. 183 María Inés Corbalán and Glyn Morrill

X Contents A Single Movement Normal Form for Minimalist Grammars............ 200 Thomas Graf, Alëna Aksënova, and Aniello De Santo Word Ordering as a Graph Rewriting Process....................... 216 Sylvain Kahane and François Lareau Undecidability of the Lambek Calculus with a Relevant Modality......... 240 Max Kanovich, Stepan Kuznetsov, and Andre Scedrov Introducing a Calculus of Effects and Handlers for Natural Language Semantics........................................ 257 Jirka Maršík and Maxime Amblard Proof Nets for the Displacement Calculus......................... 273 Richard Moot Countability: Individuation and Context........................... 290 Peter R. Sutton and Hana Filip The Proper Treatment of Linguistic Ambiguity in Ordinary Algebra....... 306 Christian Wurm and Timm Lichte Erratum to: The Proper Treatment of Linguistic Ambiguity in Ordinary Algebra........................................ Christian Wurm and Timm Lichte E1 Author Index... 323