Natural logic for natural language

Abstract

We implement the extension of the logical consequence relation to a partial order ≤ on arbitary types built from e (entities) and t (Booleans) that was given in [1], and the definition of monotonicity preserving and monotonicity reversing functions in terms of ≤. Next, we present a new algorithm for polarity marking, and implement this for a particular fragment of syntax. Finally, we list the reseach agenda that these definitions and this algorithm suggest. The implementations use Haskell [8], and are given in ‘literate programming’ style [9].

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2009-01-28

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Author's Profile

Jan Van Eijck
University of Amsterdam

References found in this work

Generalized Quantifiers and Natural Language.Jon Barwise - 1980 - Linguistics and Philosophy 4:159.
On a generalization of quantifiers.Andrzej Mostowski - 1957 - Fundamenta Mathematicae 44 (2):12--36.
Questions about quantifiers.Johan van Benthem - 1984 - Journal of Symbolic Logic 49 (2):443-466.
Reasoning with quantifiers.Bart Geurts - 2003 - Cognition 86 (3):223--251.

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