Title
Proof-Theoretic Semantics for Subsentential Phrases
Abstract
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.
Year
DOI
Venue
2010
10.1007/s11225-010-9241-y
Studia Logica
Keywords
Field
DocType
Proof-theoretic semantics,natural-language,Frege’s context principle,subsentential phrases,proof-theoretic semantic value,proof-theoretic type interpretation
Principle of compositionality,Proof-theoretic semantics,Formal semantics (linguistics),Computational linguistics,Algorithm,Grammar,Natural language,Natural language processing,Artificial intelligence,Mathematics,Semantics
Journal
Volume
Issue
ISSN
94
3
0039-3215
Citations 
PageRank 
References 
17
1.43
3
Authors
3
Name
Order
Citations
PageRank
Nissim Francez11330419.56
Roy Dyckhoff245249.09
Gilad Ben-Avi3404.81