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  1. Logical Foundations for Hybrid Type-Logical Grammars.Richard Moot & Symon Jory Stevens-Guille - 2022 - Journal of Logic, Language and Information 31 (1):35-76.
    This paper explores proof-theoretic aspects of hybrid type-logical grammars, a logic combining Lambek grammars with lambda grammars. We prove some basic properties of the calculus, such as normalisation and the subformula property and also present both a sequent and a proof net calculus for hybrid type-logical grammars. In addition to clarifying the logical foundations of hybrid type-logical grammars, the current study opens the way to variants and extensions of the original system, including but not limited to a non-associative version and (...)
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  • In defense of an HPSG-based theory of non-constituent coordination: a reply to Kubota and Levine.Shûichi Yatabe & Wai Lok Tam - 2021 - Linguistics and Philosophy 44 (1):1-77.
    We show that Kubota and Levine’s characterization of the HPSG-based theory of non-constituent coordination proposed in Yatabe Proceedings of the 7th International Conference on Head-Driven Phrase Structure Grammar, CSLI, Stanford, pp 325–344, 2001) and later works is inaccurate, and that the theory in question does not require any ad hoc mechanisms to account for the long-known fact that right-node raising and left-node raising can affect semantic interpretation. In the course of demonstrating this, we fill in some details of this HPSG-based (...)
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  • Grammar Logicised: Relativisation.Glyn Morrill - 2017 - Linguistics and Philosophy 40 (2):119-163.
    Many variants of categorial grammar assume an underlying logic which is associative and linear. In relation to left extraction, the former property is challenged by island domains, which involve nonassociativity, and the latter property is challenged by parasitic gaps, which involve nonlinearity. We present a version of type logical grammar including ‘structural inhibition’ for nonassociativity and ‘structural facilitation’ for nonlinearity and we give an account of relativisation including islands and parasitic gaps and their interaction.
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  • Scopability and Sluicing.Chris Barker - 2013 - Linguistics and Philosophy 36 (3):187-223.
    This paper analyzes sluicing as anaphora to an anti-constituent (a continuation), that is, to the semantic remnant of a clause from which a subconstituent has been removed. For instance, in Mary said that [John saw someone yesterday], but she didn’t say who, the antecedent clause is John saw someone yesterday, the subconstituent targeted for removal is someone, and the ellipsis site following who is anaphoric to the scope remnant John saw ___ yesterday. I provide a compositional syntax and semantics on (...)
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  • The Semantics of Comparatives: A Difference-Based Approach.Linmin Zhang & Jia Ling - 2021 - Journal of Semantics 38 (2):249-303.
    Degree semantics has been developed to study how the meanings of measurement and comparison are encoded in natural language. Within degree semantics, this paper proposes a difference-based approach to analyze the semantics of comparatives. The motivation is the measurability and comparability of differences involved in comparatives. The main claim is that comparatives encode a subtraction equation among three scalar values: two measurements along an interval scale and the difference between them. We contribute two innovations: using interval arithmetic to implement subtraction, (...)
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