Categorial Grammar

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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).
Publishing status: Available
Table of Contents
Part I. Editorial introduction
Announcing the volume
Wojciech Buszkowski
3
A chronicle of categorial grammar
Witold Marciszewski
7
New trends in categorial grammar
Johan van Benthem
23
Part II. Studies in categorial grammar
The semantics of variety in categorial grammar
Johan van Benthem
37
Three theories of categorial grammar
Wojciech Buszkowski
57
Categorial grammars and list automata for strata of non-CF-languages
M. Chytil and H. Karlgren
85
Categorial languages
M.J. Cresswell
113
A program for syntax
P.T. Geach
127
The non-associative Lambek calculus
Maciej Kandulski
141
The mathematics of sentence structure
J. Lambek
153
A philosophical introduction to categorial and extended categorial grammar
Harold D. Levin
173
How freely can categories be assigned to expressions of natural language? A case study
Witold Marciszewski
197
Fregean grammar: A formal outline
T.C. Potts
221
Part III. Borderlines of categorial grammar
Second-order logic without variables
K. Došen
245
Grammar logicism
Henry Hiż
265
“Linguistic constructions” in transparent intensional logic
Pavel Materna, Petr Sgall and Eva Hajičová
283
Montague logic and its extensions
E. Orłowska
301
Configurations and pseudoconfigurations in algebraic linguistics
Maria Semeniuk-Polkowska
325
Grammatical categories: Their nature and interlanguage variation
Kazimierz A. Sroka
333
Towards a formal semiotics
M. Tokarz
357
Cited by

Cited by other publications

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1991.  In Language in Action - Categories, Lambdas and Dynamic Logic [Studies in Logic and the Foundations of Mathematics, 130],  pp. 327 ff. Crossref logo
Buszkowski, Wojciech
1991.  In Logics in AI [Lecture Notes in Computer Science, 478],  pp. 139 ff. Crossref logo
Buszkowski, Wojciech
2003.  In Grammars and Automata for String Processing [Topics in Computer Mathematics, 20032543],  pp. 203 ff. Crossref logo
Buszkowski, Wojciech
2018.  In The Lvov-Warsaw School. Past and Present [Studies in Universal Logic, ],  pp. 91 ff. Crossref logo
da S. Corrêa, Marcelo & E. Hermann Haeusler
2005.  In Logical Aspects of Computational Linguistics [Lecture Notes in Computer Science, 3492],  pp. 67 ff. Crossref logo
Godart-Wendling, Béatrice
1999. De l’ubiquité de l’ordre dans les premières grammaires catégorielles. Historiographia Linguistica 26:3  pp. 383 ff. Crossref logo
Henrichsen, P. J.
1998.  In Discourse, Interaction and Communication,  pp. 1 ff. Crossref logo
Kolowska-Gawiejnowicz, Miroslawa
1997. Powerset Residuated Algebras and Generalized Lambek Calculus. Mathematical Logic Quarterly 43:1  pp. 60 ff. Crossref logo
Lambek, J.
1999.  In Logical Aspects of Computational Linguistics [Lecture Notes in Computer Science, 1582],  pp. 1 ff. Crossref logo
Valentín, Oriol
2014.  In Categories and Types in Logic, Language, and Physics [Lecture Notes in Computer Science, 8222],  pp. 402 ff. Crossref logo
Wybraniec-Skardowska, Urszula
2009.  In Towards Mathematical Philosophy,  pp. 319 ff. Crossref logo
Wybraniec-Skardowska, Urszula
2020. What Is the Sense in Logic and Philosophy of Language. Bulletin of the Section of Logic 49:2 Crossref logo

This list is based on CrossRef data as of 06 november 2020. 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
BIC Subject: CF – Linguistics
BISAC Subject: LAN009000 – LANGUAGE ARTS & DISCIPLINES / Linguistics / General