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Abstract: this paper we study Lambek systems as grammar logics: logics for reasoning about structured linguistic resources. The structural parameters of precedence, dominance and dependency generate a cube of resource-sensitive categorial type logics. From the pure logic of residuation NL, one obtains L, NLP and LP in terms of Associativity, Commutativity, and their combination. Each of these systems has a dependency variant, where the product is split up into a left-headed and a right-headed version. We ... (Update)
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BibTeX entry: (Update)
@misc{ blackburn-specifying,
author = "Patrick Blackburn and Maarten de Rijke (Eds.)",
title = "Specifying Syntactic Structures",
url = "citeseer.ist.psu.edu/91981.html" }
Citations (may not include all citations):248 The Mathematics of Sentence Structure (context) - Lambek - 1958
88 Categorial Type Logics - Moortgat
42 Type Logical Grammar (context) - Morrill - 1994
31 Power and weakness of the modal Display Calculus - Kracht - 1993
29 Partial Gaggles Applied to Logics With Restricted Structural.. - Dunn - 1993
25 Categorial and categorical grammar (context) - Lambek - 1988
20 A brief survey of frames for the Lambek calculus (context) - Dosen - 1992
19 Multimodal linguistic inference - Moortgat - 1995
17 Language in Action (context) - Benthem - 1991
16 Frames and Labels (context) - Kurtonina - 1995
14 Discontinuity in Categorial Grammar (context) - Morrill - 1995
13 A logical treatment of semi-free word order and bounded disc.. - Reape - 1989
12 Display Logic (context) - Belnap - 1982
11 Gaggle theory: an abstraction of Galois connections and resi.. (context) - Dunn - 1991
9 Modal translations in substructural logics (context) - Dosen - 1992
9 Meeting strength in substructural logics - Venema - 1995
8 Logical parameters and linguistic variation (context) - Moortgat, Oehrle - 1993
7 Modalities in Linear Logic weaker than the exponential "of c.. (context) - Bucalo - 1994
5 Studies in Categorial Grammar (context) - Barry, Morrill - 1990
4 French object clitics: a multimodal analysis - Kraak - 1995
4 Categorial grammar, modalities and algebraic semantics - Versmissen - 1993
3 Formal Grammar (context) - Morrill, Oehrle - 1995
2 Light Linear Logic: extended abstract (context) - Girard - 1995
1 Labeled deduction in the composition of form and meaning - Moortgat
1 Adjacency, dependency and order (context) - on, grammar et al. - 1994
1 Heads and phrases. Type calculus for dependency and constitu.. (context) - Honor, Gabbay et al. - 1991
1 Grammatical Composition (context) - EACL, -- - 1996
1 Controlling resource management (context) - Dissertation, Utrecht et al. - 1994
1 Sequent calculi for normal modal propositional logics (context) - Dissertation, Wansing - 1992
Documents on the same site (http://www-uilots.let.ruu.nl/staff/moortgat/): More
Labeled Deduction in the Composition of Form and Meaning - Moortgat (Correct)
Multimodal Linguistic Inference - Moortgat (1995) (Correct)
In Situ Binding: A Modal Analysis - Moortgat (1996) (Correct)
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