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A gentle introduction to Girard's Transcendental Syntax for the linear logician
In: https://hal.archives-ouvertes.fr/hal-02977750 ; 2022 (2022)
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2
Multiplicative Linear Logic from Logic Programs and Tilings
In: https://hal.archives-ouvertes.fr/hal-02895111 ; 2021 (2021)
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3
A gentle introduction to Girard's Transcendental Syntax for the linear logician
In: https://hal.archives-ouvertes.fr/hal-02977750 ; 2021 (2021)
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4
Stellar Resolution: Multiplicatives - for the linear logician, through examples
In: https://hal.archives-ouvertes.fr/hal-02977750 ; 2021 (2021)
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5
A gentle introduction to Girard's Transcendental Syntax for the linear logician
In: https://hal.archives-ouvertes.fr/hal-02977750 ; 2021 (2021)
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6
Stellar Resolution: Multiplicatives - for the linear logician, through examples
In: https://hal.archives-ouvertes.fr/hal-02977750 ; 2021 (2021)
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7
Type-logical investigations: proof-theoretic, computational and linguistic aspects of modern type-logical grammars
Moot, Richard. - : HAL CCSD, 2021
In: https://hal-lirmm.ccsd.cnrs.fr/tel-03452731 ; Computation and Language [cs.CL]. Université Montpellier, 2021 (2021)
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8
Proofs as games and games as proofs: dialogical semantics for logic and natural language. ; Les preuves vues comme des jeux et réciproquement : sémantique dialogique de langages naturels ou logiques.
Catta, Davide. - : HAL CCSD, 2021
In: https://tel.archives-ouvertes.fr/tel-03553000 ; Logic in Computer Science [cs.LO]. Université de Montpellier, 2021. English (2021)
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Proofs as games and games as proofs : dialogical semantics of logical and natural languages ; Les preuves vues comme des jeux et réciproquement : sémantique dialogique de langages naturel ou logiques
Catta, Davide. - : HAL CCSD, 2021
In: https://tel.archives-ouvertes.fr/tel-03588308 ; Informatique et langage [cs.CL]. Université Montpellier, 2021. Français. ⟨NNT : 2021MONTS064⟩ (2021)
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10
Proofs as games and games as proofs: dialogical semantics for logic and natural language. ; Les preuves vues comme des jeux et réciproquement : sémantique dialogique de langages naturels ou logiques.
Catta, Davide. - : HAL CCSD, 2021
In: https://tel.archives-ouvertes.fr/tel-03553000 ; Logic in Computer Science [cs.LO]. Université de Montpellier, 2021. English (2021)
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11
Proof-theoretic aspects of NLλ
In: https://hal-lirmm.ccsd.cnrs.fr/lirmm-02973980 ; 2020 (2020)
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12
Towards Higher-Order Abstract Syntax in Cedille (Work in Progress)
In: LFMTP 2019 Logical Frameworks and Meta-Languages: Theory and Practice 2019 ; https://hal.archives-ouvertes.fr/hal-02152417 ; LFMTP 2019 Logical Frameworks and Meta-Languages: Theory and Practice 2019, Jun 2019, Vancouver, Canada (2019)
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13
A sequent calculus with dependent types for classical arithmetic
In: LICS 2018 - 33th Annual ACM/IEEE Symposium on Logic in Computer Science ; https://hal.inria.fr/hal-01703526 ; LICS 2018 - 33th Annual ACM/IEEE Symposium on Logic in Computer Science, Jul 2018, Oxford, United Kingdom. pp.720-729, ⟨10.1145/3209108.3209199⟩ (2018)
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14
From logical and linguistic generics to Hilbert’s tau and epsilon quantifiers
In: ISSN: 2055-3706 ; IfColog Journal of Logics and their Applications (FLAP) ; https://hal.archives-ouvertes.fr/hal-01803717 ; IfColog Journal of Logics and their Applications (FLAP), College Publications, 2017, Hilbert’s epsilon and tau in Logic, Informatics and Linguistics, 4 (2), pp.231-256 ; http://www.collegepublications.co.uk/downloads/ifcolog00011.pdf (2017)
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15
Logic-based argumentation with existential rules
In: ISSN: 0888-613X ; International Journal of Approximate Reasoning ; https://hal-lirmm.ccsd.cnrs.fr/lirmm-01596666 ; International Journal of Approximate Reasoning, Elsevier, 2017, 90, pp.76-106. ⟨10.1016/j.ijar.2017.07.004⟩ (2017)
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16
Proof, rigour and informality : a virtue account of mathematical knowledge
Tanswell, Fenner Stanley. - : University of St Andrews, 2017. : The University of St Andrews, 2017. : University of Stirling, 2017
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17
Formalizing Abstract Computability: Turing Categories in Coq
Vinogradova, Polina. - : Université d'Ottawa / University of Ottawa, 2017
Abstract: The concept of a recursive function has been extensively studied using traditional tools of computability theory. However, with the development of category-theoretic methods it has become possible to study recursion in a more general (abstract) sense. The particular model this thesis is structured around is known as a Turing category. The structure within a Turing category models the notion of partiality as well as recursive computation, and equips us with the tools of category theory to study these concepts. The goal of this work is to build a formal language description of this computation model. Specifically, to use the Coq proof assistant to formulate informal definitions, propositions and proofs pertaining to Turing categories in the underlying formal language of Coq, the Calculus of Co-inductive Constructions (CIC). Furthermore, we have instantiated the more general Turing category formalism with a CIC description of the category which models the language of partial recursive functions exactly.
Keyword: Calculus of Inductive Constructions (CIC); Category theory; Computability; Coq proof assistant; Formalization; Turing categories
URL: https://doi.org/10.20381/ruor-20634
http://hdl.handle.net/10393/36354
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18
Focused and Synthetic Nested Sequents (Extended Technical Report)
In: https://hal.inria.fr/hal-01251722 ; [Research Report] Inria. 2016 (2016)
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19
A Dialectical Proof Theory for Universal Acceptance in Coherent Logic-based Argumentation Frameworks
In: 22nd European Conference on Artificial Intelligence ; ECAI : European Conference on Artificial Intelligence ; https://hal-lirmm.ccsd.cnrs.fr/lirmm-01333368 ; ECAI : European Conference on Artificial Intelligence, Aug 2016, The Hague, Netherlands. pp.55-63, ⟨10.3233/978-1-61499-672-9-55⟩ ; http://www.ecai2016.org/ (2016)
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20
Comparing and evaluating extended Lambek calculi
In: Empirical advances in categorial grammars ; https://hal.archives-ouvertes.fr/hal-01164670 ; Empirical advances in categorial grammars, Yusuke Kubota and Robert Levine, Aug 2015, Barcelona, Spain (2015)
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