Classical Copying versus Quantum Entanglement in Natural Language: The Case of VP-ellipsis [PDF]
This paper compares classical copying and quantum entanglement in natural language by considering the case of verb phrase (VP) ellipsis. VP ellipsis is a non-linear linguistic phenomenon that requires the reuse of resources, making it the ideal test case
Gijs Wijnholds, Mehrnoosh Sadrzadeh
doaj +1 more source
Language Models for Some Extensions of the Lambek Calculus [PDF]
We investigate language interpretations of two extensions of the Lambek calculus: with additive conjunction and disjunction and with additive conjunction and the unit constant.
M. Kanovich, S. Kuznetsov, A. Scedrov
semanticscholar +1 more source
Correction to: Lambek Calculus with Conjugates [PDF]
We, the authors, would like to thank Guillaume Aucher for informing us of his “Displaying Updates in Logic”, published in the Journal of Logic and Computation, 26(6):1865-1912 (2016).
Igor Sedlár, Andrew Tedder
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A proof-theoretic approach to scope ambiguity in compositional vector space models
We investigate the extent to which compositional vector space models can be used to account for scope ambiguity in quantified sentences (of the form Every man loves some woman).
Gijs Wijnholds
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A Type-Driven Vector Semantics for Ellipsis with Anaphora Using Lambek Calculus with Limited Contraction [PDF]
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 (LCC) of Jäger (Anaphora and type logical grammar, Springer, Berlin,
G. Wijnholds, M. Sadrzadeh
semanticscholar +1 more source
Combining logical and distributional methods in type-logical grammars
We propose a low-level way of combining distributional and logical ideas into a single formal system. This will be an instantiation of a more general system, adding weights to proof rules. These weights will not measure some sort of "confidence the proof
Richard Moot
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A type-logical treebank for French
The goal of the current paper is to describe the TLGbank, a treebank of type-logical proof semi-automatically extracted from the French Treebank. Though the framework chosen for the treebank are multimodal type-logical grammars, we have ensured that the ...
Richard Moot
doaj +1 more source
Categorical Vector Space Semantics for Lambek Calculus with a Relevant Modality [PDF]
We develop a categorical compositional distributional semantics for Lambek Calculus with a Relevant Modality !L∗, a modality that allows for the use of limited editions of contraction and permutation in the logic.
Lachlan McPheat +3 more
semanticscholar +1 more source
Continuations and Polymorphic Lambek Calculus (Logic, Language, Algebraic system and Related Areas in Computer Science) [PDF]
We introduced the notion of continuation in lambda calculus for Lambek calculus and showed that the continuation-passing style transformation could be naturally derived from the rules of Lambek calculus.
Taniguchi, Masaya
core
Cyclic Shift in the Lambek Calculus
We enrich the Lambek calculus with the cyclic shift operation, which is expected to model the closure operator of formal languages with respect to cyclic shifts. We introduce a Gentzen-style calculus and prove cut elimination. Secondly, we turn to categorial grammars based on this calculus and show that they can generate non-context-free languages ...
openaire +2 more sources

