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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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2
Aligned and collaborative language-driven engineering ...
Zweihoff, Philip. - : TU Dortmund, 2022
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3
A Formal Model of Checked C ...
Li, Liyi; Liu, Yiyun; Postol, Deena L.. - : arXiv, 2022
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4
PACSafe: Leveraging ARM Pointer Authentication for Memory Safety in C/C++ ...
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5
Compiler-Driven Simulation of Reconfigurable Hardware Accelerators ...
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6
Source Matching and Rewriting ...
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7
How ISO C became unusable for operating systems development ...
Yodaiken, Victor. - : arXiv, 2022
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8
Quickstrom: Property Based Acceptance Testing with LTL Specifications ...
O'Connor, Liam; Wickström, Oskar. - : arXiv, 2022
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9
POLYCRUISE: A Cross-Language Dynamic Information Flow Analysis ...
Li, Wen. - : figshare, 2022
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POLYCRUISE: A Cross-Language Dynamic Information Flow Analysis ...
Li, Wen. - : figshare, 2022
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11
A Systematic Evaluation of Large Language Models of Code ...
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12
On Reinforcement Learning, Effect Handlers, and the State Monad ...
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13
Compilable Neural Code Generation with Compiler Feedback ...
Wang, Xin; Wang, Yasheng; Wan, Yao. - : arXiv, 2022
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14
Formal Metatheory of Second-Order Abstract Syntax ...
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15
Concepts et sémantique des langages de programmation 2 : constructions modulaires et objet avec OCaml, Python, C++, Ada et Java
Hardin, Thérèse; Jaume, Mathieu; Pessaux, François. - : HAL CCSD, 2021. : ISTE Editions, 2021
In: https://hal.archives-ouvertes.fr/hal-03030511 ; ISTE Editions, 2021, 9781784057022 (2021)
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16
Multiplicative Linear Logic from Logic Programs and Tilings
In: https://hal.archives-ouvertes.fr/hal-02895111 ; 2021 (2021)
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17
Language and semantics of expressions for Grafcet model synthesis in an MDE environment ; Langage et sémantique des expressions pour la synthèse de modèle Grafcet dans un environnement IDM
In: https://hal.archives-ouvertes.fr/hal-02558838 ; 2021 (2021)
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18
A gentle introduction to Girard's Transcendental Syntax for the linear logician
In: https://hal.archives-ouvertes.fr/hal-02977750 ; 2021 (2021)
Abstract: Girard's Transcendental Syntax suggests a new framework for proof theory where logic (proofs, formulas, truth, .) is no more primitive but computation is. Logic is grounded on a model of computation I call "stellar resolution" which is basically logic-free Robinson's first-order clausal resolution with a dynamics related to tiling models. This model naturally encodes the cut-elimination for proof-structures. By using realisability techniques for linear logic, it is possible to reconstruct formulas/types and logical correctness in order to obtain models of linear logic. Girard's philosophical justification of these works comes from Kantian inspirations: the Transcendental Syntax appears as a way to talk about the "conditions of possibility of logic", that is the conditions from which logical constructions emerge out of the meaningless (computation). We illustrate this foundational project with a reconstruction of Intuitionistic MELL(+MIX) and describe few other novelties such as the treatment of second order and Girard's logical constants "fu" and "wo".
Keyword: [INFO.INFO-LO]Computer Science [cs]/Logic in Computer Science [cs.LO]; [MATH.MATH-LO]Mathematics [math]/Logic [math.LO]; ACM: F.: Theory of Computation/F.1: COMPUTATION BY ABSTRACT DEVICES/F.1.1: Models of Computation; ACM: F.: Theory of Computation/F.3: LOGICS AND MEANINGS OF PROGRAMS/F.3.2: Semantics of Programming Languages; ACM: F.: Theory of Computation/F.3: LOGICS AND MEANINGS OF PROGRAMS/F.3.2: Semantics of Programming Languages/F.3.2.1: Denotational semantics; ACM: F.: Theory of Computation/F.4: MATHEMATICAL LOGIC AND FORMAL LANGUAGES/F.4.1: Mathematical Logic/F.4.1.0: Computability theory; 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.4.1.3: Logic and constraint programming; ACM: F.: Theory of Computation/F.4: MATHEMATICAL LOGIC AND FORMAL LANGUAGES/F.4.1: Mathematical Logic/F.4.1.7: Proof theory; Geometry of Interaction; Linear Logic; Models of Computation; Semantics
URL: https://hal.archives-ouvertes.fr/hal-02977750v5/document
https://hal.archives-ouvertes.fr/hal-02977750
https://hal.archives-ouvertes.fr/hal-02977750v5/file/main.pdf
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19
Stellar Resolution: Multiplicatives - for the linear logician, through examples
In: https://hal.archives-ouvertes.fr/hal-02977750 ; 2021 (2021)
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20
Concepts et sémantique des langages de programmation 1 : constructions fonctionnelles et impératives avec OCaml, Python, C et C++
Hardin, Thérèse; Jaume, Mathieu; Pessaux, François. - : HAL CCSD, 2021. : ISTE Editions, 2021
In: https://hal.archives-ouvertes.fr/hal-03030484 ; ISTE Editions, 2021, 9781784057015 (2021)
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