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Machine-checked computer-aided mathematics

Assia Mahboubi
Logic in Computer Science [cs.LO]. Université de Nantes (UN), Nantes, FRA., 2021
Habilitation à diriger des recherches tel-03107626v2
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A Classical Sequent Calculus with Dependent Types

Étienne Miquey
ACM Transactions on Programming Languages and Systems (TOPLAS), 2019, 41 (2), pp.1-48. ⟨10.1145/3230625⟩
Journal articles hal-01519929v3
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Preface: Special Issue on Homotopy Type Theory and Univalent Foundations

Peter Lefanu Lumsdaine , Nicolas Tabareau
Journal of Automated Reasoning, 2018, ⟨10.1007/s10817-018-9491-3⟩
Journal articles hal-01929871v1
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A formal proof of the irrationality of ζ(3)

Assia Mahboubi , Thomas Sibut-Pinote
Logical Methods in Computer Science, 2021, 17 (1), pp.1-25. ⟨10.23638/LMCS-17(1:16)2021⟩
Journal articles hal-03517003v1
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Calcul Formel et Preuves Formelles

Assia Mahboubi
Luminy, France. 2018, pp.1-10
Lectures hal-04116824v1
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Gardening with the Pythia A model of continuity in a dependent setting

Martin Baillon , Assia Mahboubi , Pierre-Marie Pédrot
CSL 2022 - Computer Science Logic, Feb 2022, Göttingen, Germany. pp.1-19, ⟨10.4230/LIPIcs.CSL.2022.13⟩
Conference papers hal-03510671v1
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Every λ-Term is Meaningful for the Infinitary Relational Model

Pierre Vial
LICS 2018 - Thirty-Third Annual ACM/IEEE Symposium on Logic in Computer Science, ACM, Jul 2018, Oxford, United Kingdom. pp.1-26, ⟨10.1145/nnnnnnn.nnnnnnn⟩
Conference papers hal-01840744v1
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A Classical Sequent Calculus with Dependent Types

Étienne Miquey
Preprints, Working Papers, ... hal-01744359v1
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Formalizing Implicative Algebras in Coq

Étienne Miquey
ITP 2018 - 9th International Conference on Interactive Theorem Proving, Jul 2018, Oxford, United Kingdom. pp.459-476, ⟨10.1007/978-3-319-94821-8_27⟩
Conference papers hal-01703524v1

Parametric Church’s Thesis: Synthetic Computability Without Choice

Yannick Forster
Logical Foundations of Computer Science, 13137, Springer International Publishing, pp.70-89, 2022, Lecture Notes in Computer Science, ⟨10.1007/978-3-030-93100-1_6⟩
Book sections hal-03889493v1
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A sequent calculus with dependent types for classical arithmetic

Étienne Miquey
LICS 2018 - 33th Annual ACM/IEEE Symposium on Logic in Computer Science, Jul 2018, Oxford, United Kingdom. pp.720-729, ⟨10.1145/3209108.3209199⟩
Conference papers hal-01703526v2

Complete trace models of state and control

Guilhem Jaber , Andrzej S Murawski
ESOP 2021 - 30th European Symposium on Programming, Mar 2021, Luxembourg, Luxembourg. pp.348-374, ⟨10.1007/978-3-030-72019-3_13⟩
Conference papers hal-03510374v1
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Static interpretation of higher-order modules in Futhark: functional GPU programming in the large

Martin Elsman , Troels Henriksen , Danil Annenkov , Cosmin Oancea
Proceedings of the ACM on Programming Languages, 2018, 2 (ICFP), pp.97:1--97:30. ⟨10.1145/3236792⟩
Journal articles hal-01883524v1
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Modules over monads and operational semantics

André Hirschowitz , Tom Hirschowitz , Ambroise Lafont
5th International Conference on Formal Structures for Computation and Deduction (FSCD 2020), 2020, Paris, France. pp.12:1--12:23, ⟨10.4230/LIPIcs.FSCD.2020.12⟩
Conference papers hal-02338144v3

Theorems for free from separation logic specifications

Lars Birkedal , Thomas Dinsdale-Young , Armaël Guéneau , Guilhem Jaber , Kasper Svendsen , et al.
Proceedings of the ACM on Programming Languages, 2021, 5 (ICFP), pp.1-29. ⟨10.1145/3473586⟩
Journal articles hal-03510684v1
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Trakt : Uniformiser les types pour automatiser les preuves (démonstration)

Denis Cousineau , Enzo Crance , Assia Mahboubi
JFLA 2022 - 33èmes Journées Francophones des Langages Applicatifs, Jun 2022, Saint-Médard-d'Excideuil, France. pp.261-263
Conference papers hal-03626851v1
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A Constructive and Synthetic Theory of Reducibility: Myhill's Isomorphism Theorem and Post's Problem for Many-one and Truth-table Reducibility in Coq (Full Version)

Yannick Forster , Felix Jahn , Gert Smolka
Preprints, Working Papers, ... hal-03580081v1
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Failure is Not an Option An Exceptional Type Theory

Pierre-Marie Pédrot , Nicolas Tabareau
ESOP 2018 - 27th European Symposium on Programming, Apr 2018, Thessaloniki, Greece. pp.245-271, ⟨10.1007/978-3-319-89884-1_9⟩
Conference papers hal-01840643v1
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For Finitary Induction-Induction, Induction is Enough

Ambrus Kaposi , András Kovács , Ambroise Lafont
TYPES 2019: 25th International Conference on Types for Proofs and Programs, Jun 2019, Oslo, Norway. pp.6:1-6:30, ⟨10.4230/LIPIcs.TYPES.2019.6⟩
Conference papers hal-03594037v1
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Efficient “out of heap” pointers for multicore OCaml

Guillaume Munch-Maccagnoni
OCaml 2022 - OCaml Users and Developers Workshop, Matija Pretnar, Sep 2022, Ljubljana, Slovenia. pp.1-7
Conference papers hal-03910312v1
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Synthetic Kolmogorov Complexity in Coq

Yannick Forster , Fabian Kunze , Nils Lauermann
ITP 2022 - 13th International Conference on Interactive Theorem Proving, Aug 2022, Haifa, Israel
Conference papers hal-03596267v2
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Touring the MetaCoq Project (Invited Paper)

Matthieu Sozeau
LFMTP 2021 - Logical Frameworks and Meta-Languages: Theory and Practice, Jul 2021, Pittsburg, United States. pp.1-17
Conference papers hal-03516619v1

Computing with Extensionality Principles in Type Theory

Loïc Pujet
Logic in Computer Science [cs.LO]. Nantes Université, 2022. English. ⟨NNT : ⟩
Theses tel-03923041v1
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Resource Polymorphism

Guillaume Munch-Maccagnoni
Preprints, Working Papers, ... hal-01724997v1
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Note on Curry's style for Linear Call-by-Push-Value

Guillaume Munch-Maccagnoni
Preprints, Working Papers, ... hal-01528857v3
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Observational Equality: Now For Good

Loïc Pujet , Nicolas Tabareau
Proceedings of the ACM on Programming Languages, 2022, 6 (POPL), pp.1-29. ⟨10.1145/3498693⟩
Journal articles hal-03367052v4
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The Multiverse: Logical Modularity for Proof Assistants

Kenji Maillard , Nicolas Margulies , Matthieu Sozeau , Nicolas Tabareau , Éric Tanter
Preprints, Working Papers, ... hal-03324596v1
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Russian Constructivism in a Prefascist Theory

Pierre-Marie Pédrot
LICS 2020 - Thirty-Fifth Annual ACM/IEEE Symposium on Logic in Computer Science, Jul 2020, Saarbrücken, Germany. pp.1-14, ⟨10.1145/3373718.3394740⟩
Conference papers hal-02548315v1
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Definitional Functoriality for Dependent (Sub)Types

Théo Laurent , Meven Lennon-Bertrand , Kenji Maillard
Preprints, Working Papers, ... hal-04160858v1
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Certified Compilation of Financial Contracts

Danil Annenkov , Martin Elsman
PPDP '18 - 20th International Symposium on Principles and Practice of Declarative Programming, Sep 2018, Frankfurt am Main, Germany. pp.1-13, ⟨10.1145/3236950.3236955⟩
Conference papers hal-01883559v1