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141Towards a type-theoretical account of lexical semanticsJournal of Logic, Language and Information 19 (2): 229-245. 2010.After a quick overview of the field of study known as “Lexical Semantics”, where we advocate the need of accessing additional information besides syntax and Montague-style semantics at the lexical level in order to complete the full analysis of an utterance, we summarize the current formulations of a well-known theory of that field. We then propose and justify our own model of the Generative Lexicon Theory, based upon a variation of classical compositional semantics, and outline its formalizatio…Read more
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110Quantification in Ordinary Language and Proof TheoryPhilosophia Scientiae 20 185-205. 2016.This paper gives an overview of the common approach to quantification and generalised quantification in formal linguistics and philosophy of language. We point out how this usual general framework represents a departure from empirical linguistic data. We briefly sketch a different idea for proof theory which is closer to the language itself than standard approaches in many aspects. We stress the importance of Hilbert’s operators—the epsilon-operator for existential and tau-operator for universal…Read more
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91This paper surveys the common approach to quantification and generalised quantification in formal linguistics and philosophy of language. We point out how this general setting departs from empirical linguistic data, and give some hints for a different view based on proof theory, which on many aspects gets closer to the language itself. We stress the importance of Hilbert's oper- ator epsilon and tau for, respectively, existential and universal quantifications. Indeed, these operators help a lot …Read more
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55A Faithful Representation of Non-Associative Lambek Grammars in Abstract Categorial GrammarsJournal of Logic, Language and Information 19 (2): 185-200. 2010.This paper solves a natural but still open question: can abstract categorial grammars respresent usual categorial grammars? Despite their name and their claim to be a unifying framework, up to now there was no faithful representation of usual categorial grammars in ACGs. This paper shows that Non-Associative Lambek grammars as well as their derivations can be defined using ACGs of order two. To conclude, the outcome of such a representation are discussed.
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50A faithful representation of non-associative Lambek grammars in abstract categorial grammarsJournal of Logic Language and Information 19 (2): 185-200. 2010.This paper solves a natural but still open question: can abstract categorial grammars (ACGs) respresent usual categorial grammars? Despite their name and their claim to be a unifying framework, up to now there was no faithful representation of usual categorial grammars in ACGs. This paper shows that Non-Associative Lambek grammars as well as their derivations can be defined using ACGs of order two. To conclude, the outcome of such a representation are discussed.
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46Category theory, logic and formal linguistics: Some connections, old and newJournal of Applied Logic 12 (1): 1-13. 2014.
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30Logical Aspects of Computational Linguistics (LACL'01)In P. Bouquet (ed.), Lecture Notes in Artificial Intelligence, Kluwer Academic Publishers. 2001.
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23Deverbal Semantics and the Montagovian Generative Lexicon Lambda !mathsf {Ty}_nJournal of Logic Language and Information 23 (3): 347-366. 2014.We propose a lexical account of event nouns, in particular of deverbal nominalisations, whose meaning is related to the event expressed by their base verb. The literature on nominalisations often assumes that the semantics of the base verb completely defines the structure of action nominals. We argue that the information in the base verb is not sufficient to completely determine the semantics of action nominals. We exhibit some data from different languages, especially from Romance language, whi…Read more
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19Pomset Logic: the other approach to non commutativity in logicIn Claudia Casadio & Philip J. Scott (eds.), Joachim Lambek: The Interplay of Mathematics, Logic, and Linguistics, Springer Verlag. pp. 299-345. 2021.Thirty years ago, I introduced a noncommutative variant of classical linear logic, called pomset logic, coming from a particular categorical interpretation of linear logic known as coherence spaces. In addition to the usual commutative multiplicative connectives of linear logic, pomset logic includes a noncommutative connective, “⊲” called before, associative and self-dual: ⊥ = A⊥ ⊲ B⊥. The conclusion of a pomset logic proof is a Partially Ordered Multiset of formulas. Pomset logic enjoys a proo…Read more
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18Natural Language Semantics and ComputabilityJournal of Logic, Language and Information 28 (2): 287-307. 2019.This paper is a reflexion on the computability of natural language semantics. It does not contain a new model or new results in the formal semantics of natural language: it is rather a computational analysis, in the context for type-logical grammars, of the logical models and algorithms currently used in natural language semantics, defined as a function from a grammatical sentence to a set of logical formulas—because a statement can be ambiguous, it can correspond to multiple formulas, one for e…Read more
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14Deverbal Semantics and the Montagovian Generative Lexicon $$\Lambda \!\mathsf {Ty}_n$$ Λ Ty nJournal of Logic, Language and Information 23 (3): 347-366. 2014.We propose a lexical account of event nouns, in particular of deverbal nominalisations, whose meaning is related to the event expressed by their base verb. The literature on nominalisations often assumes that the semantics of the base verb completely defines the structure of action nominals. We argue that the information in the base verb is not sufficient to completely determine the semantics of action nominals. We exhibit some data from different languages, especially from Romance language, whi…Read more
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2Logical Aspects of Computational Linguistics. Celebrating 20 Years of LACL (1996–2016) (edited book)Springer. 2016.
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This book constitutes the strictly refereed post-conference proceedings of the First International Conference on Logical Aspects of Computational Linguistics, LACL '96, held in Nancy, France in April 1996. The volume presents 18 revised full papers carefully selected and reviewed for inclusion in the book together with four invited contributions by leading authorities and an introductory survey with a detailed bibliography. The papers cover all relevant logical aspects of computational linguisti…Read more
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Recent advances in logical and algebraic approaches to grammar. Special issue of theJournal of Logic Language and Information 7 (4). 1998.This is a short introduction to a special issue of the Journal on Logic, Language and Information, dealing with "recent advances in logical and algebraic approaches to computational linguistics"
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Special Issue on Recent Advances in Logical and Algebraic Approaches to Grammar, volume 7 (4) ofJournal of Logic Language and Information. forthcoming.This a special issue of the Journal of Logic Language and Information that I edited.
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Proceedings of the IWCS 2019 Workshop on Computing Semantics with Types, Frames and Related Structures (edited book)Association for Computational Linguistics. 2019.
Areas of Specialization
Philosophy of Language |
Logic and Philosophy of Logic |
Philosophy of Mathematics |
Areas of Interest
Philosophy of Language |
Logic and Philosophy of Logic |