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Enables to print papers filtered by a tag + details button to display the full list #82

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59 changes: 58 additions & 1 deletion data/papers.yml
Original file line number Diff line number Diff line change
Expand Up @@ -43,11 +43,13 @@ papers:
- Théo Zimmermann
year: 2024
tags:
- Theory and Implementation of Rocq
- Release
links:
- description: "Zenodo"
uri: "https://zenodo.org/records/14542673"
featured: true

- title: "Verified Extraction from Coq to OCaml"
publication: Programming Language Design and Implementation (PLDI)
abstract: >
Expand All @@ -57,6 +59,7 @@ papers:
- Matthieu Sozeau
- Nicolas Tabareau
tags:
- Theory and Implementation of Rocq
- PLDI
- extraction
year: 2024
Expand All @@ -68,6 +71,7 @@ papers:
- description: "PLDI Talk"
uri: "https://youtu.be/RBU3dkSv7rg?list=PLyrlk8Xaylp6XYPbTIscsn49yFEFlxUp-&t=11946"
featured: true

- title: "Correct and Complete Type Checking and Certified Erasure for Coq, in Coq"
publication: Journal of the ACM
abstract: >
Expand All @@ -80,6 +84,7 @@ papers:
- Nicolas Tabareau
- Théo Winterhalter
tags:
- Theory and Implementation of Rocq
- JACM
- type-checker
year: 2024
Expand All @@ -89,6 +94,7 @@ papers:
- description: "HAL-Inria"
uri: https://inria.hal.science/hal-04077552
featured: true

- title: "Trocq: Proof Transfer for Free, With or Without Univalence"
publication: European Symposium on Programming
abstract: >
Expand All @@ -98,13 +104,15 @@ papers:
- Enzo Crance
- Assia Mahboubi
tags:
- Theory and Implementation of Rocq
- ESOP
- Proof Transfer
year: 2024
links:
- description: "HAL-Inria"
uri: https://inria.hal.science/hal-04177913v5
featured: true

- title: "Proof Repair across Type Equivalences"
publication: Programming Language Design and Implementation (PLDI)
abstract: >
Expand All @@ -117,6 +125,7 @@ papers:
- John Leo
- Dan Grossman
tags:
- Theory and Implementation of Rocq
- PLDI
- proof repair
year: 2021
Expand All @@ -128,6 +137,7 @@ papers:
- description: "PLDI Talk"
uri: https://youtu.be/zG-Jc62WqFk?si=47mUgl_-RgvIGE71
featured: no

- title: "Equations Reloaded: High-Level Dependently-Typed Functional Programming and Proving in Coq"
publication: International Conference on Functional Programming (ICFP)
abstract: >
Expand All @@ -136,6 +146,7 @@ papers:
- Matthieu Sozeau
- Cyprien Mangin
tags:
- Theory and Implementation of Rocq
- ICFP
- Dependent pattern-matching
year: 2019
Expand All @@ -145,6 +156,7 @@ papers:
- description: "Download PDF on Arxiv"
uri: https://arxiv.org/abs/2010.00774
featured: no

- title: "Definitional Proof-Irrelevance without K"
publication: Principles of Programming Languages (POPL)
abstract: >
Expand All @@ -155,6 +167,7 @@ papers:
- Matthieu Sozeau
- Nicolas Tabareau
tags:
- Theory and Implementation of Rocq
- POPL
- Proof-Irrelevance
year: 2019
Expand All @@ -164,20 +177,23 @@ papers:
- description: "HAL-Inria"
uri: https://inria.hal.science/hal-01859964
featured: no

- title: "Inductive Definitions in the System Coq - Rules and Properties"
publication: Typed Lambda Calculi and Applications (TLCA)
abstract: >
In the pure Calculus of Constructions, it is possible to represent data structures and predicates using higher-order quantification. However, this representation is not satisfactory, from the point of view of both the efficiency of the underlying programs and the power of the logical system. For these reasons, the calculus was extended with a primitive notion of inductive definitions. This paper describes the rules for inductive definitions in the system Coq. They are general enough to be seen as one formulation of adding inductive definitions to a typed lambda-calculus. We prove strong normalization for a subsystem of Coq corresponding to the pure Calculus of Constructions plus Inductive Definitions with only weak eliminations.
authors:
- Christine Paulin-Mohring
tags:
- Theory and Implementation of Rocq
- TLCA
- Inductive types
year: 1993
links:
- description: "DOI"
uri: https://doi.org/10.1007/BFb0037116
featured: no

- title: "Inductively Defined Types"
publication: International Conference on Computer Logic
year: 1988
Expand All @@ -186,13 +202,15 @@ papers:
- Thierry Coquand
- Christine Paulin-Mohring
tags:
- Theory and Implementation of Rocq
- Inductive types
links:
- description: "DOI"
uri: https://doi.org/10.5555/646125.758641
- description: "Springer"
uri: https://link.springer.com/content/pdf/10.1007/3-540-52335-9_47.pdf
featured: no

- authors:
- family: Coquand
given: Thierry
Expand All @@ -209,6 +227,7 @@ papers:
volume: 76
featured: no
tags:
- Theory and Implementation of Rocq
- Foundations
abstract: >
The calculus of constructions is a higher-order formalism for constructive proofs in natural deduction style. Every proof is a A-expression, typed
Expand All @@ -223,6 +242,7 @@ papers:
arbitrarily complex algorithmic specifications. We develop the basic theory of a
calculus of constructions, and prove a strong normalization theorem showing that all
computations terminate. Finally, we suggest various extensions to stronger calculi.

- abstract: Type Classes have met a large success in Haskell and
Isabelle, as a solution for sharing notations by overloading and for
specifying with abstract structures by quantification on contexts.
Expand All @@ -240,6 +260,8 @@ papers:
given: Matthieu
- family: Oury
given: Nicolas
tags:
- Theory and Implementation of Rocq
collection-title: LNCS
container-title: TPHOLs
doi: 10.1007/978-3-540-71067-7_23
Expand Down Expand Up @@ -281,10 +303,12 @@ papers:
type: article-journal
url: "https://nantes-universite.hal.science/hal-04801739"
tags:
- Theory and Implementation of Rocq
- POPL
- Universes
abstract: >
Proof assistants based on dependent type theory, such as Coq, Lean and Agda, use different universes to classify types, typically combining a predicative hierarchy of universes for computationally-relevant types, and an impredicative universe of proof-irrelevant propositions. In general, a universe is characterized by its sort, such as Type or Prop, and its level, in the case of a predicative sort. Recent research has also highlighted the potential of introducing more sorts in the type theory of the proof assistant as a structuring means to address the coexistence of different logical or computational principles, such as univalence, exceptions, or definitional proof irrelevance. This diversity raises concrete and subtle issues from both theoretical and practical perspectives. In particular, in order to avoid duplicating definitions to inhabit all (combinations of) universes, some sort of polymorphism is needed. Universe level polymorphism is well-known and effective to deal with hierarchies, but the handling of polymorphism between sorts is currently ad hoc and limited in all major proof assistants, hampering reuse and extensibility. This work develops sort polymorphism and its metatheory, studying in particular monomorphization, large elimination, and parametricity. We implement sort polymorphism in Coq and present examples from a new sort-polymorphic prelude of basic definitions and automation. Sort polymorphism is a natural solution that effectively addresses the limitations of current approaches and prepares the ground for future multi-sorted type theories.

- abstract: Motivated by applications to proof assistants based on
dependent types, we develop and prove correct a strong reducer and
β-equivalence checker for the λ-calculus with
Expand All @@ -301,6 +325,8 @@ papers:
given: Benjamin
- family: Leroy
given: Xavier
tags:
- Theory and Implementation of Rocq
container-title: International Conference on Functional Programming
id: Gregoire-Leroy-02
issued: 2002
Expand All @@ -310,9 +336,12 @@ papers:
type: paper-conference
url: "http://pauillac.inria.fr/\\~xleroy/publi/strong-reduction.pdf"
doi: 10.1145/581478.581501

- author:
- family: Dénès
given: Maxime
tags:
- Theory and Implementation of Rocq
id: "denes:tel-00945775"
issued: 2013
month: 11
Expand All @@ -323,9 +352,13 @@ papers:
title: "Étude formelle d'algorithmes efficaces en algèbre linéaire"
type: thesis
url: "https://theses.hal.science/tel-00945775"

- author:
- family: Letouzey
given: Pierre
tags:
- Theory and Implementation of Rocq
- Extraction
genre: Thèse de Doctorat
id: LetouzeyPhd
issued: 2004
Expand All @@ -335,6 +368,7 @@ papers:
title-short: Programmation fonctionnelle certifiée
type: thesis
url: "http://www.pps.jussieu.fr/~letouzey/download/these_letouzey.pdf"

- author:
- family: Timany
given: Amin
Expand All @@ -355,9 +389,11 @@ papers:
url: "https://doi.org/10.4230/LIPIcs.FSCD.2018.29"
volume: 108
tags:
- Theory and Implementation of Rocq
- PCUIC
abstract: >
In order to avoid well-known paradoxes associated with self-referential definitions, higher-order dependent type theories stratify the theory using a countably infinite hierarchy of universes (also known as sorts), Type_0 : Type_1 : *s. Such type systems are called cumulative if for any type A we have that A : Type_i implies A : Type_{i+1}. The Predicative Calculus of Inductive Constructions (pCIC) which forms the basis of the Coq proof assistant, is one such system. In this paper we present the Predicative Calculus of Cumulative Inductive Constructions (pCuIC) which extends the cumulativity relation to inductive types. We discuss cumulative inductive types as present in Coq 8.7 and their application to formalization and definitional translations.

- author:
- family: Martin-Löf
given: Per
Expand All @@ -367,9 +403,11 @@ papers:
publisher: University of Stockholm
url: https://archive-pml.github.io/martin-lof/pdfs/An-Intuitionistic-Theory-of-Types-1972.pdf
tags:
- Theory and Implementation of Rocq
- MLTT
abstract: >
The theory of types with which we shall be concerned is intended to be a full scale system for formalizing intuitionistic mathematics as developed, for example, in the book by Bishop 1967. The language of the theory is richer than the language of first order predicate logic. This makes it possible to strengthen the axioms for existence and disjunction. In the case of existence, the possibility of strengthening the usual elimination rule seems first to have been indicated by Howard 1969, whose proposed axioms are special cases of the existential elimination rule of the present theory. Furthermore, there is a reflection principle which links the generation of objects and types and plays somewhat the same role for the present theory as does the replacement axiom for Zermelo-Fraenkel set theory. An earlier, not yet conclusive, attempt at formulating a theory of this kind was made by Scott 1970. Also related, although less closely, are the type and logic free theories of constructions of Kreisel 1962 and 1965 and Goodman 1970. In its first version, the present theory was based on the strongly impredicative axiom that there is a type of all types whatsoever, which is at the same time a type and an object of that type. This axiom had to be abandoned, however, after it was shown to lead to a contradiction by Jean Yves Girard. I am very grateful to him for showing me his paradox. The change that it necessitated is so drastic that my theory no longer contains intuitionistic simple type theory as it originally did. Instead, its proof theoretic strength should be close to that of predicative analysis.

- author:
- family: Girard
given: J.-Y.
Expand All @@ -382,6 +420,9 @@ papers:
l'arithmétique d'ordre supérieur
type: thesis
url: https://girard.perso.math.cnrs.fr/These.pdf
tags:
- Theory and Implementation of Rocq

- author:
- family: Whitehead
given: Alfred North
Expand All @@ -390,6 +431,9 @@ papers:
issued: 1910
publisher: Cambridge University Press
title: Principia Mathematica
tags:
- Theory and Implementation of Rocq

- author:
- family: Paulin-Mohring
given: Christine
Expand All @@ -401,6 +445,9 @@ papers:
(Program extraction in the calculus of constructions)
type: thesis
url: "https://tel.archives-ouvertes.fr/tel-00431825"
tags:
- Theory and Implementation of Rocq

- author:
- family: Paulin-Mohring
given: Christine
Expand All @@ -415,6 +462,9 @@ papers:
doi: 10.1145/75277.75285
abstract: >
We define in this paper a notion of realizability for the Calculus of Constructions. The extracted programs are terms of the Calculus that do not contain dependent types. We introduce a distinction between informative and non-informative propositions. This distinction allows the removal of the “logical” part in the development of a program. We show also how to use our notion of realizability in order to interpret various axioms like the axiom of choice or the induction on integers. A practical example of development of program is given in the appendix.
tags:
- Theory and Implementation of Rocq

- author:
- family: Herbelin
given: Hugo
Expand All @@ -426,6 +476,9 @@ papers:
url: "http://pauillac.inria.fr/\\~herbelin/publis/univalgcci.pdf"
abstract: >
We describe an algebraic system of universes and a typechecking algorithm for universe constraints in a version of the extended calculus of constructions with inductive types. The use of algebraic universes ensures that the graph of constraints only contains universes already present in the term to type. This algorithm, used in the typechecker of the Coq proof assistant, refines Huet and Harper-Pollack algorithms for typical ambiguity.
tags:
- Theory and Implementation of Rocq

- author:
- family: Huet
given: Gérard
Expand All @@ -435,6 +488,8 @@ papers:
abstract: >
The Calculus of Constructions is a higher-order formalism for writing constructive proofs in a natural deduction style, inspired from work of de Bruijn, Girard and Martin-Löf. The calculus and its syntactic theory were presented in Coquand’s thesis, and an implementation by the author was used to mechanically verify a substantial number of proofs demonstrating the power of expression of the formalism. The Calculus of Constructions is proposed as a foundation for the design of programming environments where programs are developed consistently with formal specifications.
url: https://pauillac.inria.fr/~huet/PUBLIC/typtyp.pdf
tags:
- Theory and Implementation of Rocq

- author:
- family: Coquand
Expand All @@ -444,4 +499,6 @@ papers:
title: Une théorie des constructions
abstract: >
On propose une synthèse de différents systèmes de types: la théorie des types de Martin-Löf, le calcul d'ordre supérieur de Girard, et le calcul automath de De Bruijn. Le résultat fondamental de ce travail est une preuve de cohérence du calcul ainsi obtenu (la théorie des constructions). D'après les résultats de Girard, ce système a la puissance d'expression de l'arithmétique d'ordre supérieure. Les exemples développes sont de deux ordres: en logique (on retrouve les différents systèmes logiques connus) et en informatique (le type étant alors la spécification du programme)
url: https://theses.fr/1985PA07F126
url: https://theses.fr/1985PA07F126
tags:
- Theory and Implementation of Rocq
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