Categorial Grammar

Editors

Wojciech Buszkowski

Witold Marciszewski

Johan van Benthem

Hardbound – Available

ISBN 9789027215307 | EUR 160.00 | USD 240.00

e-Book –

ISBN 9789027278685 | EUR 160.00 | USD 240.00

This book is devoted to the mathematical foundations of categorial grammar including type-theoretic foundations of mathematics, grammatical categories and other topics related to categorial grammar and to philosophical and linguistic applications of this framework. The volume consists of three parts. The first, introductory part, contains the editor's addresses and two survey chapters concerning the history (W. Marciszewski) and current trends of the discipline (J.van Benthem). The second part consists of 10 chapters devoted to categorial grammar proper, and the third part 7 chapters devoted to areas close to categorial grammar. Most of the contributions are original papers, but five of them are reprints of classics (M.J. Cresswell, P.T. Geach, H. Hiz, J. Lambek, T. Potts).

[Linguistic and Literary Studies in Eastern Europe, 25] 1988. viii, 365 pp.

Publishing status: Available

https://doi.org/10.1075/llsee.25

Table of Contents

Part I. Editorial introduction

Announcing the volume

Wojciech Buszkowski | p. 3

A chronicle of categorial grammar

Witold Marciszewski | p. 7

New trends in categorial grammar

Johan van Benthem | p. 23

Part II. Studies in categorial grammar

The semantics of variety in categorial grammar

Johan van Benthem | p. 37

Three theories of categorial grammar

Wojciech Buszkowski | p. 57

Categorial grammars and list automata for strata of non-CF-languages

M. Chytil and H. Karlgren | p. 85

Categorial languages

M.J. Cresswell | p. 113

A program for syntax

P.T. Geach | p. 127

The non-associative Lambek calculus

Maciej Kandulski | p. 141

The mathematics of sentence structure

J. Lambek | p. 153

A philosophical introduction to categorial and extended categorial grammar

Harold D. Levin | p. 173

How freely can categories be assigned to expressions of natural language? A case study

Witold Marciszewski | p. 197

Fregean grammar: A formal outline

T.C. Potts | p. 221

Part III. Borderlines of categorial grammar

Second-order logic without variables

K. Došen | p. 245

Grammar logicism

Henry Hiż | p. 265

“Linguistic constructions” in transparent intensional logic

Pavel Materna, Petr Sgall and Eva Hajičová | p. 283

Montague logic and its extensions

E. Orłowska | p. 301

Configurations and pseudoconfigurations in algebraic linguistics

Maria Semeniuk-Polkowska | p. 325

Grammatical categories: Their nature and interlanguage variation

Kazimierz A. Sroka | p. 333

Towards a formal semiotics

M. Tokarz | p. 357

Cited by

Cited by 16 other publications

Order by:

Buszkowski, Wojciech

1988. Generative Power of Categorial Grammars. In Categorial Grammars and Natural Language Structures [Studies in Linguistics and Philosophy, 32], ► pp. 69 ff.

Buszkowski, Wojciech

1991. On generative capacity of the Lambek calculus. In Logics in AI [Lecture Notes in Computer Science, 478], ► pp. 139 ff.

Buszkowski, Wojciech

2003. Syntactic Calculus and Pregroups. In Grammars and Automata for String Processing [Topics in Computer Mathematics, 20032543], ► pp. 203 ff.

Buszkowski, Wojciech

2018. Categorial Grammars and Their Logics. In The Lvov-Warsaw School. Past and Present [Studies in Universal Logic, ], ► pp. 91 ff.

da S. Corrêa, Marcelo & E. Hermann Haeusler

2005. On the Selective Lambek Calculus. In Logical Aspects of Computational Linguistics [Lecture Notes in Computer Science, 3492], ► pp. 67 ff.

Godart-Wendling, Béatrice

1999. De l’ubiquité de l’ordre dans les premières grammaires catégorielles. Historiographia Linguistica 26:3 ► pp. 383 ff.

Henrichsen, P. J.

1998. Does the Sentence Exist? Do We Need It?. In Discourse, Interaction and Communication, ► pp. 1 ff.

Kaminski, Michael

2022. Extending the Lambek Calculus with Classical Negation. Studia Logica 110:2 ► pp. 295 ff.

Kolowska‐Gawiejnowicz, Miroslawa

1997. Powerset Residuated Algebras and Generalized Lambek Calculus. Mathematical Logic Quarterly 43:1 ► pp. 60 ff.

Lambek, J.

1999. Type Grammar Revisited. In Logical Aspects of Computational Linguistics [Lecture Notes in Computer Science, 1582], ► pp. 1 ff.

Valentín, Oriol

2014. The Hidden Structural Rules of the Discontinuous Lambek Calculus. In Categories and Types in Logic, Language, and Physics [Lecture Notes in Computer Science, 8222], ► pp. 402 ff.

Wybraniec-Skardowska, Urszula

2009. On Meta-Knowledge and Truth. In Towards Mathematical Philosophy, ► pp. 319 ff.

Wybraniec-Skardowska, Urszula

2020. What Is the Sense in Logic and Philosophy of Language. Bulletin of the Section of Logic 49:2

Zielonka, Wojciech & W. Zielonka

1992. INTERDEFINABILITY OF LAMBEKIAN FUNCTORS. Mathematical Logic Quarterly 38:1 ► pp. 501 ff.

[no author supplied]

1991. Bibliography. In Language in Action - Categories, Lambdas and Dynamic Logic [Studies in Logic and the Foundations of Mathematics, 130], ► pp. 327 ff.

[no author supplied]

2006. Bibliography. In The Blackwell Guide to the Philosophy of Language, ► pp. 411 ff.

This list is based on CrossRef data as of 16 april 2024. Please note that it may not be complete. Sources presented here have been supplied by the respective publishers. Any errors therein should be reported to them.

Subjects

Linguistics

Theoretical linguistics

Syntax

Main BIC Subject

CF: Linguistics

Main BISAC Subject

LAN009000: LANGUAGE ARTS & DISCIPLINES / Linguistics / General

ONIX Metadata

ONIX 2.1

ONIX 3.0