NDLI: On the Membership Problem for Non-Linear Abstract Categorial Grammars

Content Provider	Springer Nature Link
Author	Salvati, Sylvain
Copyright Year	2009
Abstract	In this paper we show that the membership problem for second order non-linear Abstract Categorial Grammars is decidable. A consequence of that result is that Montague-like semantics yield to a decidable text generation problem. Furthermore the proof we propose is based on a new tool, Higher Order Intersection Signatures, which grasps statically dynamic properties of λ-terms and presents an interest in its own.
Starting Page	163
Ending Page	183
Page Count	21
File Format	PDF
ISSN	09258531
Journal	Journal of Logic, Language and Information
Volume Number	19
Issue Number	2
e-ISSN	15729583
Language	English
Publisher	Springer Netherlands
Publisher Date	2009-12-19
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Lambda-calculus Intersection types Montague semantics Text generation Formal grammars Information Systems Applications (incl.Internet) Semantics Logic
Content Type	Text
Resource Type	Article
Subject	Philosophy Computer Science Linguistics and Language

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On the Membership Problem for Non-Linear Abstract Categorial Grammars