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      Vector Space Semantics for Lambek Calculus with Soft Subexponentials

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          Abstract

          We develop a vector space semantics for Lambek Calculus with Soft Subexponentials, apply the calculus to construct compositional vector interpretations for parasitic gap noun phrases and discourse units with anaphora and ellipsis, and experiment with the constructions in a distributional sentence similarity task. As opposed to previous work, which used Lambek Calculus with a Relevant Modality the calculus used in this paper uses a bounded version of the modality and is decidable. The vector space semantics of this new modality allows us to meaningfully define contraction as projection and provide a linear theory behind what we could previously only achieve via nonlinear maps.

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          Author and article information

          Journal
          22 November 2021
          Article
          2111.11331
          8e5946a8-db43-41fd-aed8-0ea4a5c4add0

          http://creativecommons.org/licenses/by/4.0/

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          cs.LO cs.CL

          Theoretical computer science
          Theoretical computer science

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