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1
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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Multiplicative Linear Logic from Logic Programs and Tilings
In: https://hal.archives-ouvertes.fr/hal-02895111 ; 2021 (2021)
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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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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)
Abstract: International audience ; Cedille is a relatively recent tool based on a Curry-style pure type theory, without a primitive datatype system. Using novel techniques based on dependent intersection types, inductive datatypes with their induction principles are derived. One benefit of this approach is that it allows exploration of new or advanced forms of inductive datatypes. This paper reports work in progress on one such form, namely higher-order abstract syntax (HOAS). We consider the nature of HOAS in the setting of pure type theory, comparing with the traditional concept of environment models for lambda calculus. We see an alternative, based on what we term Kripke function-spaces, for which Cedille confirms we have a weakly initial algebra. Progress extending this to support dependent elimination is described.
Keyword: [INFO.INFO-LO]Computer Science [cs]/Logic in Computer Science [cs.LO]; ACM: F.: Theory of Computation/F.4: MATHEMATICAL LOGIC AND FORMAL LANGUAGES/F.4.1: Mathematical Logic/F.4.1.2: Lambda calculus and related systems; ACM: F.: Theory of Computation/F.4: MATHEMATICAL LOGIC AND FORMAL LANGUAGES/F.4.1: Mathematical Logic/F.4.1.4: Mechanical theorem proving; ACM: F.: Theory of Computation/F.4: MATHEMATICAL LOGIC AND FORMAL LANGUAGES/F.4.1: Mathematical Logic/F.4.1.7: Proof theory
URL: https://hal.archives-ouvertes.fr/hal-02152417
https://hal.archives-ouvertes.fr/hal-02152417/file/LFMTP2019_SP_2.pdf
https://hal.archives-ouvertes.fr/hal-02152417/document
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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
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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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