Proof-theoretic semantics for subsentential phrases

Studia Logica 94 (3):381 - 401 (2010)
The paper briefly surveys the sentential proof-theoretic semantics for fragment of English. Then, appealing to a version of Frege’s context-principle (specified to fit type-logical grammar), a method is presented for deriving proof-theoretic meanings for sub-sentential phrases, down to lexical units (words). The sentential meaning is decomposed according to the function-argument structure as determined by the type-logical grammar. In doing so, the paper presents a novel proof-theoretic interpretation of simple type, replacing Montague’s model-theoretic type interpretation (in arbitrary Henkin models). The domains of derivations are collections of derivations in the associated “dedicated” natural-deduction proof-system, and functions therein (with no appeal to models, truth-values and elements of a domain). The compositionality of the semantics is analyzed.
Keywords Philosophy   Computational Linguistics   Mathematical Logic and Foundations   Logic
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DOI 10.2307/40587201
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PhilPapers Archive Nissim Francez, Proof-theoretic semantics for subsentential phrases
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References found in this work BETA
Wilfrid Hodges (2001). Formal Features of Compositionality. Journal of Logic, Language and Information 10 (1):7-28.

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Citations of this work BETA
Nissim Francez & Roy Dyckhoff (2012). A Note on Harmony. Journal of Philosophical Logic 41 (3):613-628.

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