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The contextual logic
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In: https://hal.archives-ouvertes.fr/hal-03195162 ; 2022 (2022)
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A gentle introduction to Girard's Transcendental Syntax for the linear logician
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In: https://hal.archives-ouvertes.fr/hal-02977750 ; 2022 (2022)
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Dialogical Logic
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In: ISSN: 1095-5054 ; Stanford Encyclopedia of Philosophy ; https://hal.archives-ouvertes.fr/hal-03651225 ; 2022, https://plato.stanford.edu/archives/sum2022/entries/logic-dialogical/ (2022)
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Game of Grounds
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In: Objects, Structures, and Logics ; https://hal.archives-ouvertes.fr/hal-03602786 ; Objects, Structures, and Logics, 339, Springer International Publishing, pp.259-286, 2022, Boston Studies in the Philosophy and History of Science, ⟨10.1007/978-3-030-84706-7_10⟩ (2022)
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Calculi of Epistemic Grounding Based on Prawitz’s Theory of Grounds
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In: ISSN: 0039-3215 ; EISSN: 1572-8730 ; Studia Logica ; https://hal.archives-ouvertes.fr/hal-03581352 ; Studia Logica, Springer Verlag (Germany), 2022, ⟨10.1007/s11225-021-09979-6⟩ (2022)
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Grounding, Quantifiers, and Paradoxes
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In: ISSN: 0022-3611 ; EISSN: 1573-0433 ; Journal of Philosophical Logic ; https://hal.archives-ouvertes.fr/hal-03187627 ; Journal of Philosophical Logic, Springer Verlag, 2021, 50, pp.1417-1448. ⟨10.1007/s10992-021-09604-w⟩ (2021)
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Multiplicative Linear Logic from Logic Programs and Tilings
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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
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In: https://hal.archives-ouvertes.fr/hal-02977750 ; 2021 (2021)
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Stellar Resolution: Multiplicatives - for the linear logician, through examples
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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
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In: https://hal.archives-ouvertes.fr/hal-02977750 ; 2021 (2021)
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Stellar Resolution: Multiplicatives - for the linear logician, through examples
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In: https://hal.archives-ouvertes.fr/hal-02977750 ; 2021 (2021)
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Modelling predicates in propositional syntax ; Modélisation de prédicats dans la syntaxe propositionnelle
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In: https://hal.archives-ouvertes.fr/hal-03195162 ; 2021 (2021)
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Type-logical investigations: proof-theoretic, computational and linguistic aspects of modern type-logical grammars
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In: https://hal-lirmm.ccsd.cnrs.fr/tel-03452731 ; Computation and Language [cs.CL]. Université Montpellier, 2021 (2021)
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Logical foundations for hybrid type-logical grammars
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In: ISSN: 0925-8531 ; EISSN: 1572-9583 ; Journal of Logic, Language and Information ; https://hal-lirmm.ccsd.cnrs.fr/lirmm-02944393 ; Journal of Logic, Language and Information, Springer Verlag, In press (2021)
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Proofs, Grounds and Empty Functions: Epistemic Compulsion in Prawitz’s Semantics
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In: ISSN: 0022-3611 ; EISSN: 1573-0433 ; Journal of Philosophical Logic ; https://hal.archives-ouvertes.fr/hal-03319247 ; Journal of Philosophical Logic, Springer Verlag, 2021, ⟨10.1007/s10992-021-09621-9⟩ (2021)
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Denotational Semantics for Languages of Epistemic Grounding Based on Prawitz’s Theory of Grounds
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In: ISSN: 0039-3215 ; EISSN: 1572-8730 ; Studia Logica ; https://hal.archives-ouvertes.fr/hal-03372615 ; Studia Logica, Springer Verlag (Germany), 2021, ⟨10.1007/s11225-021-09969-8⟩ (2021)
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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.
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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 for logic and natural language. ; Les preuves vues comme des jeux et réciproquement : sémantique dialogique de langages naturels ou logiques.
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In: https://tel.archives-ouvertes.fr/tel-03553000 ; Logic in Computer Science [cs.LO]. Université de Montpellier, 2021. English (2021)
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A categorical study of spectral dualities ; Une étude catégorique des dualités spectrales
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In: https://hal.archives-ouvertes.fr/tel-03609605 ; Category Theory [math.CT]. Université de Paris, 2021. English (2021)
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Mathematical works of Vladimir A. Uspensky: a commentary (Enlgish and Russian texts) ; Математические работы Владимира Андреевича Успенского: комментарии (английский и русский текст)
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In: Vladimir A. Uspensky. Non-mathematical works collection (Russian version) ; https://hal-lirmm.ccsd.cnrs.fr/lirmm-03059688 ; Vladimir A. Uspensky. Non-mathematical works collection (Russian version), 2020, 978-5-94282-675-8 (2020)
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Abstract:
International audience ; Vladimir Andreevich Uspensky [1930-2018] was one of the Soviet pioneers of the theory of computation and mathematical logic in general. This paper is the survey of his mathematical works and their influence. (His achievements in linguistics and his organizational role are outside the scope of this survey.) Harmonic functions The first paper of Uspensky [3] appeared when he was an undergraduate student. It suggests an elementary approach to harmonic functions that is based on the definition of a harmonic function on R 2 as a function that has the mean value property. The main tool in the following observation: for fixed two poinst A, B the oriented angle ACB is a harmonic function of C, 1 and this function is a locally constant function on any circle that goes through A and B. * Vladimir Andreevich Uspensky was my teacher (and undegraduate and Ph.D advisor). Here I concentrate on his mathematical works; I hope to express my deep gratitude to him elsewere.
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Keyword:
[MATH.MATH-HO]Mathematics [math]/History and Overview [math.HO]; [MATH.MATH-LO]Mathematics [math]/Logic [math.LO]; computability history; Vladimir A. Uspensky; Владимир Андреевич Успенский
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URL: https://hal-lirmm.ccsd.cnrs.fr/lirmm-03059688 https://hal-lirmm.ccsd.cnrs.fr/lirmm-03059688/document https://hal-lirmm.ccsd.cnrs.fr/lirmm-03059688/file/2008.02773.pdf
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