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  1. A Type-Driven Vector Semantics for Ellipsis with Anaphora Using Lambek Calculus with Limited Contraction.Gijs Wijnholds & Mehrnoosh Sadrzadeh - 2019 - Journal of Logic, Language and Information 28 (2):331-358.
    We develop a vector space semantics for verb phrase ellipsis with anaphora using type-driven compositional distributional semantics based on the Lambek calculus with limited contraction of Jäger. Distributional semantics has a lot to say about the statistical collocation based meanings of content words, but provides little guidance on how to treat function words. Formal semantics on the other hand, has powerful mechanisms for dealing with relative pronouns, coordinators, and the like. Type-driven compositional distributional semantics brings these two models together. We (...)
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  • Parsing/Theorem-Proving for Logical Grammar CatLog3.Glyn Morrill - 2019 - Journal of Logic, Language and Information 28 (2):183-216.
    \ is a 7000 line Prolog parser/theorem-prover for logical categorial grammar. In such logical categorial grammar syntax is universal and grammar is reduced to logic: an expression is grammatical if and only if an associated logical statement is a theorem of a fixed calculus. Since the syntactic component is invariant, being the logic of the calculus, logical categorial grammar is purely lexicalist and a particular language model is defined by just a lexical dictionary. The foundational logic of continuity was established (...)
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  • The Multiplicative-Additive Lambek Calculus with Subexponential and Bracket Modalities.Max Kanovich, Stepan Kuznetsov & Andre Scedrov - 2020 - Journal of Logic, Language and Information 30 (1):31-88.
    We give a proof-theoretic and algorithmic complexity analysis for systems introduced by Morrill to serve as the core of the CatLog categorial grammar parser. We consider two recent versions of Morrill’s calculi, and focus on their fragments including multiplicative connectives, additive conjunction and disjunction, brackets and bracket modalities, and the! subexponential modality. For both systems, we resolve issues connected with the cut rule and provide necessary modifications, after which we prove admissibility of cut. We also prove algorithmic undecidability for both (...)
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  • O expressivismo lógico de Aristóteles segundo Lucas Angioni: um breve e introdutório quadro teórico.Aislan Fernandes Pereira - 2017 - Books of Abstracts (3rd FILOMENA Workshop).
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