Language and Grammar
Studies in Mathematical Linguistics and Natural Language
edited by Claudia Casadio, Philip J. Scott, and Robert A.G. Seely
The application of logic to grammar is a
fundamental issue in philosophy and has been
investigated by such renowned philosophers as
Leibniz, Bolzano, Frege, and Husserl. Language and Grammar
examines categorial grammars and typelogical
grammars, two linguistic theories that play a
significant role in this area of study yet have been
overshadowed until recently. The prominent scholars
contributing to this volume also explore the impact
of the Lambek program on linguistics and logical
grammar, producing, ultimately, an exciting and
important resource that demonstrates how
typelogical grammars are promising future models
of reasoning and computation.
Claudia Casadio is associate professor of logic and philosophy at the
Universitá degli Studi G. d'Annunzio in Chieti, Italy.
Philip J. Scott is professor of mathematics at the University of Ottawa.
Robert A.G. Seely is professor of mathematics at McGill University in Montreal.
 Contributors vii
 Introduction: the Lambek Program xi
C. Casadio, P.J. Scott, R.A.G. Seely
 I Language 1
 1 The Categorial FineStructure of Natural Language 3
Johan van Benthem
 2 Excursions in Natural Logic 31
Edward Keenan
 II Grammar 53
 3 Characterization of Atomicity in Lambek Calculus and Bilinear Logic 55
Mati Pentus
 4 Lambek Calculus with Nonlogical Axioms 77
Wojciech Buszkowski
 5 Onthe Expressive Power of the Lambek Calculus Extended with a Structural Modality 95
Philippe de Groote
 6 The Lambek Calculus with Brackets 113
Mario Fadda and Glyn Morrill
 7 What are Pregroups? 129
J. Lambek
 8 OnSubgroups of the Lambek Pregroup 137
Michael Barr
 9 Pregroups and TypeLogical Grammar: Searching for Convergence 141
Michael Moortgat and Richard T. Oehrle
 III Language and Grammar 161
 10 Categorial Grammar for Minimalism 163
Alain Lecomte
 11 On Tree Languages Generated by Categorial Grammars 189
Maciej Kandulski
 12 Subject Predicate Order in Classical Sanskrit 211
Brendan S. Gillon
 13 A Computational Approach to the Noun in Burushaski 225
Daniele Bargelli
 14 Geometry of Language and Linguistic Circuitry 237
Glyn Morrill
 Index 265
4/15/2005
ISBN (Paperback): 1575864886 (9781575864884)
ISBN (Cloth): 1575864878 (9781575864877)
ISBN (Electronic): 157586942X (9781575869421)

Distributed by the University of Chicago Press
