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We develop a vector space semantics for verb phrase ellipsis with anaphorausing type-driven compositional distributional semantics based on the Lambekcalculus with limited contraction (LCC) of J\"ager (2006). Distributionalsemantics has a lot to say about the statistical collocation-based meanings ofcontent words, but provides little guidance on how to treat function words.Formal semantics on the other hand, has powerful mechanisms for dealing withrelative pronouns, coordinators, and the like. Type-driven compositionaldistributional semantics brings these two models together. We review previouscompositional distributional models of relative pronouns, coordination and arestricted account of ellipsis in the DisCoCat framework of Coecke et al.(2010, 2013). We show how DisCoCat cannot deal with general forms of ellipsis,which rely on copying of information, and develop a novel way of connectingtypelogical grammar to distributional semantics by assigning vectorinterpretable lambda terms to derivations of LCC in the style of Muskens &Sadrzadeh (2016). What follows is an account of (verb phrase) ellipsis in whichword meanings can be copied: the meaning of a sentence is now a program withnon-linear access to individual word embeddings. We present the theoreticalsetting, work out examples, and demonstrate our results on a toy distributionalmodel motivated by data.

A Typedriven Vector Semantics for Ellipsis with Anaphora using Lambek Calculus with Limited Contraction