Inclusion and Exclusion in Natural Language

Studia Logica 100 (4):705-725 (2012)
Abstract
We present a formal system for reasoning about inclusion and exclusion in natural language, following work by MacCartney and Manning. In particular, we show that an extension of the Monotonicity Calculus, augmented by six new type markings, is sufficient to derive novel inferences beyond monotonicity reasoning, and moreover gives rise to an interesting logic of its own. We prove soundness of the resulting calculus and discuss further logical and linguistic issues, including a new connection to the classes of weak, strong, and superstrong negative polarity items
Keywords Surface reasoning  Logic and grammar  Exclusion relations  Polarity
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DOI 10.1007/s11225-012-9425-8
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Generalized Quantifiers and Natural Language.Jon Barwise & Robin Cooper - 1981 - Linguistics and Philosophy 4 (2):159--219.
A 'Natural Logic' Inference System Using the Lambek Calculus.Anna Zamansky, Nissim Francez & Yoad Winter - 2006 - Journal of Logic, Language and Information 15 (3):273-295.

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