NDLI: A ‘Natural Logic’ inference system using the Lambek calculus

Content Provider	Springer Nature Link
Author	Zamansky, Anna Francez, Nissim Winter, Yoad
Copyright Year	2006
Abstract	This paper develops an inference system for natural language within the ‘Natural Logic’ paradigm as advocated by van Benthem (1997), Sánchez (1991) and others. The system that we propose is based on the Lambek calculus and works directly on the Curry-Howard counterparts for syntactic representations of natural language, with no intermediate translation to logical formulae. The Lambek-based system we propose extends the system by Fyodorov et~al. (2003), which is based on the Ajdukiewicz/Bar-Hillel (AB) calculus Bar Hillel, (1964). This enables the system to deal with new kinds of inferences, involving relative clauses, non-constituent coordination, and meaning postulates that involve complex expressions. Basing the system on the Lambek calculus leads to problems with non-normalized proof terms, which are treated by using normalization axioms.
Starting Page	273
Ending Page	295
Page Count	23
File Format	PDF
ISSN	09258531
Journal	Journal of Logic, Language and Information
Volume Number	15
Issue Number	3
e-ISSN	15729583
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	2006-07-21
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Natural logic Inference Lambek calculus Normalization
Content Type	Text
Resource Type	Article
Subject	Philosophy Computer Science Linguistics and Language

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A ‘Natural Logic’ inference system using the Lambek calculus