Who did what in the Coq archive?

1  The Calculus of Inductive Constructions

• The Calculus of Constructions
  • Core type-checker: Gérard Huet and Thierry Coquand with optimizations by Chet Murthy, Bruno Barras
  • Head reduction functions: Gérard Huet, Christine Paulin, Bruno Barras
• Conversion and reduction
  • Lazy conversion machine: Bruno Barras
  • Transparency/opacity: Bruno Barras
  • Bytecode-based conversion: Benjamin Grégoire
  • Binary-words retroknowledge: Arnaud Spiwack
• The universe hierarchy
  • Floating universes: Gérard Huet, with contributions from Bruno Barras
  • Algebraic universes: Hugo Herbelin
• Mutual inductive types and recursive definitions
  • Type-checking: Christine Paulin
  • Positivity condition: Christine Paulin
  • Guardness condition for fixpoints: Christine Paulin; extensions by Eduardo Gimenez, Bruno Barras, Pierre Boutillier
  • Recursively non-uniform parameters: Christine Paulin
  • Sort-polymorphism of inductive types: Hugo Herbelin
• Local definitions: Hugo Herbelin
• Mutual coinductive types and corecursive definitions: Eduardo Gimenez
• Module system
  • Core system: Jacek Chrząszcz
  • Inlining: Claudio Sacerdoti Coen and Élie Soubiran
  • Module inclusion: Élie Soubiran
  • Functorial signature application: Élie Soubiran
  • Transparent name space: Élie Soubiran
  • Resolution of qualified names: Hugo Herbelin
  • Operator for nested functor application: Élie Soubiran and Pierre Letouzey
• Minimalist stand-alone type-checker (coqchk): Bruno Barras, with extra support for modules by Élie Soubiran and Pierre Letouzey
• Eta-conversion: Hugo Herbelin, with contributions from Stéphane Glondu, Benjamin Grégoire

2  Specification language

• Sections: Gilles Dowek with extra contributions by Gérard Huet, Chet Murthy, Hugo Herbelin
• The Russell specifications language, proof obligations (Program): Matthieu Sozeau
• Type inference: Chet Murthy, with extra contributions by Bruno Barras, Hugo Herbelin, Matthieu Sozeau, Enrico Tassi
• Pattern-matching: Hugo Herbelin on top of a first version by Cristina Cornes
• Implicit arguments: Amokrane Saïbi, with extensions by Hugo Herbelin, Matthieu Sozeau, Pierre Boutillier
• Synthetic Arguments command: Enrico Tassi
• Coercions: Amokrane Saïbi
• Records: Amokrane Saïbi with extensions by Arnaud Spiwack and Matthieu Sozeau
• Canonical structures: Amokrane Saïbi
• Type classes: Matthieu Sozeau
• Functional schemes (Function, Functional Scheme, ...): Julien Forest and Pierre Courtieu (preliminary version by Yves Bertot)
• Generation of induction schemes: Christine Paulin, Vincent Siles, Matthieu Sozeau

3  Tactics

3.1  General tactic support

• Proof engine: Arnaud Spiwack (first version by Thierry Coquand, second version by Chet Murthy)
• Ltac: David Delahaye, with extensions by Hugo Herbelin, Bruno Barras, ...
• Tactic notations: Hugo Herbelin (first version by Chet Murthy)
• Main tactic unification procedure: Chet Murthy with contributions from Hugo Herbelin and Matthieu Sozeau
• Mathematical-style language (C-Zar): Pierre Corbineau
• Communication with external tools (external): Hugo Herbelin
• Proof structuring (bullets and brackets): Arnaud Spiwack

3.2  Predefined tactics

• Basic tactics (intro, apply, assumption, exact): Thierry Coquand, with further collective extensions
• Reduction tactics: Christine Paulin (simpl), Bruno Barras (cbv, lazy), with contributions from Hugo Herbelin, Enrico Tassi, ...
• Tacticals: Thierry Coquand, Chet Murthy, Eduardo Gimenez, ...; new versions of info and Show Script by Pierre Letouzey; timeout by Pierre Letouzey
• Induction: Christine Paulin (elim, case), Hugo Herbelin (induction, destruct
• Refinement (refine): Jean-Christophe Filliâtre
• Introduction patterns: Eduardo Gimenez with collective extensions
• Forward reasoning: Hugo Herbelin (assert, apply in), Pierre Letouzey (specialize, initial version by Amy Felty)
• Rewriting tactics (rewrite): basic version by Christine Paulin, extensions by Jean-Christophe Filliâtre and Pierre Letouzey
• Tactics about equivalence properties (reflexivity, symmetry, transitivity): Christine Paulin (?),
• Equality tactics (injection/discriminate): Cristina Cornes
• Inversion tactics (inversion): Cristina Cornes, Chet Murthy
• Setoid rewriting: Matthieu Sozeau (first version by Clément Renard, second version by Claudio Sacerdoti Coen), contributions from Nicolas Tabareau
• Decision of equality: Eduardo Gimenez
• Basic Ltac-level tactics: Pierre Letouzey, Matthieu Sozeau, Evgeny Makarov
• Tactics about existential variables: Clément Renard, Pierre Corbineau, Stéphane Glondu, Arnaud Spiwack, ...

3.3  General automation tactics

• Resolution (auto, trivial): Christine Paulin with extensions from Chet Murthy, Eduardo Gimenez, Patrick Loiseleur (hint bases), Matthieu Sozeau
• Resolution with existential variables (eauto): Chet Murthy, Jean-Christophe Filliâtre, with extensions from Matthieu Sozeau
• Automatic rewriting (autorewrite): David Delahaye

3.4  Domain-specific decision tactics

• Congruence closure (cc): Pierre Corbineau
• Decision of first-order logic (firstorder): Pierre Corbineau
• Simplification of polynomial fractions (field): Laurent Théry and Benjamin Grégoire (first version by David Delahaye and Micaela Mayero)
• Simplification of polynomial expressions (ring): Assia Mahboubi, Bruno Barras and Benjamin Grégoire (first version by Samuel Boutin, second version by Patrick Loiseleur)
• Decision of systems of polynomial equations: Loïc Pottier (nsatz)
• Decision of systems of linear inequations: Frédéric Besson (psatzl); Loïc Pottier (fourier)
• Decision of systems of linear inequations over integers: Frédéric Besson (lia); Pierre Crégut (omega and romega)
• (Partial) decision of systems of polynomical inequations (sos, psatz): Frédéric Besson, with generalization over arbitrary rings by Evgeny Makarov; uses HOL-Light interface to csdp by John Harrisson
• Decision/simplification of intuitionistic propositional logic: David Delahaye (tauto, intuition, first version by Cesar Muñoz, second version by Chet Murthy), with contributions from Judicaël Courant; Pierre Corbineau (rtauto)
• Decision/simplification of intuition first-order logic: Pierre Corbineau (firstorder)

4  Extra tools

• Program extraction: Pierre Letouzey (first implementation by Benjamin Werner, second by Jean-Christophe Filliâtre)
• Export of context to external communication tools (dp): Nicolas Ayache and Jean-Christophe Filliâtre, with contributions by Claude Marché
• Export of terms and environments to XML format: Claudio Sacerdoti Coen, with extensions from Cezary Kaliszyk

5  Environment management

• Separate compilation: initiated by Chet Murthy
• Import/Export: initiated by Chet Murthy
• Options management: Hugo Herbelin with contributions by Arnaud Spiwack
• Resetting and backtracking: Chet Murthy with contributions from Pierre Courtieu
• Searching: Hugo Herbelin and Yves Bertot with extensions by Matthias Puech
• Whelp suppport: Hugo Herbelin

6  Parsing and printing

• General parsing support: Chet Murthy, Bruno Barras, Daniel de Rauglaudre
• General printing support: Chet Murthy, Jean-Christophe Filliâtre
• Lexing: Daniel de Rauglaudre
• Support for UTF-8: Hugo Herbelin, with contributions from Alexandre Miquel and Yann Régis-Gianas
• Numerical notations: Hugo Herbelin, Patrick Loiseleur, Micaela Mayero
• String notations: Hugo Herbelin
• New “V8” syntax: Bruno Barras, Hugo Herbelin with contributions by Olivier Desmettre
• Abbreviations: Chet Murthy
• Notations: Chet Murthy, Hugo Herbelin

7  Libraries

• Init: collective (initiated by Christine Paulin and Gérard Huet)
• Arith: collective (initiated by Christine Paulin)
• ZArith: collective (initiated by Pierre Crégut)
• Bool: collective (initiated by Christine Paulin)
• NArith: Hugo Herbelin, Pierre Letouzey, Evgeny Makarov (out of initial contibution by Pierre Crégut)
• Lists: Pierre Letouzey, Jean-Marc Notin (initiated by Christine Paulin)
• Vectors: Pierre Boutillier
• Reals: Micaela Mayero (axiomatization and main properties), Olivier Desmettre (convergence, derivability, integrals, trigonometric functions), contributions from Russell O’Connor, Cezary Kaliszyk, Guillaume Melquiond, Yves Bertot, Guillaume Allais
• Relations: Bruno Barras, Cristina Cornes with contributions from Pierre Castéran
• Wellfounded: Bruno Barras, Cristina Cornes
• FSets: Pierre Letouzey, from initial work with Jean-Christophe Filliâtre, decision tactic for FSets by Aaron Bohannon, red-black trees by Andrew Appel and Pierre Letouzey
• MSets: Pierre Letouzey
• Logic: Christine Paulin, Hugo Herbelin, Bruno Barras
• Numbers: Evgeny Makarov (abstractions), Laurent Théry and Benjamin Grégoire (big numbers), Arnaud Spiwack and Pierre Letouzey (word-based arithmetic), further extensions by Pierre Letouzey; integration of Arith and ZArith to Numbers by Pierre Letouzey
• Classes: Matthieu Sozeau
• QArith: Pierre Letouzey, with contributions from Russell O’Connor
• Setoid: Matthieu Sozeau (first version by Clément Renard, second version by Claudio Sacerdoti Coen)
• Sets: Gilles Kahn and Gérard Huet
• Sorting: Gérard Huet with revisions by Hugo Herbelin
• Strings: Laurent Théry
• Program: Matthieu Sozeau
• Unicode: Claude Marché

8  Commands

• Batch compiler (coqc): Chet Murthy (?)
• Compilation dependency calculator (coqdep): Jean-Christophe Filliâtre
• Statistic tool (coqwc): Jean-Christophe Filliâtre
• Simple html presentation tool (gallina) (deprecated): Jean-Christophe Filliâtre
• Auto-maker (coq_makefile): Jean-Christophe Filliâtre, with contributions from Judicaël Courant, updated by Pierre Boutillier
• LaTeX presentation tool (coq-tex): Jean-Christophe Filliâtre
• Multi-purpose presentation tool (coqdoc): Jean-Christophe Filliâtre with extensions from Matthieu Sozeau, Jean-Marc Notin, Hugo Herbelin and contributions from Adam Chlipala
• Interactive toplevel (coqtop): Jean-Christophe Filliâtre (?)
• Custom toplevel builder (coqmktop): Jean-Christophe Filliâtre (?)

9  Graphical interfaces

• Support for PCoq: Yves Bertot with contributions by Laurence Rideau and Loïc Pottier; additional support for TmEgg by Lionel Mamane
• Support for Proof General: Pierre Courtieu with contributions from Arnaud Spiwack
• CoqIDE: Benjamin Monate with contributions from Jean-Christophe Filliâtre, Claude Marché, Pierre Letouzey, Julien Narboux, Hugo Herbelin, Pierre Corbineau, Pierre Boutillier, Pierre-Marie Pédrot; processus-based communication protocol by Vincent Gross with contributions from Pierre Letouzey, Pierre Boutillier, Pierre-Marie Pédrot; backtracking revised by Pierre Letouzey; uses the Cameleon library by Maxence Guesdon;

10  Architecture

• Functional-kernel-based architecture: Jean-Christophe Filliâtre
• Extensible objects and summaries: Chet Murthy
• Hash-consing: Bruno Barras
• Error locations: Jean-Christophe Filliâtre, Bruno Barras, Hugo Herbelin, with contributions from Arnaud Spiwack
• Existential variables engine: Chet Murthy with revisions by Bruno Barras and Arnaud Spiwack and extensions by Clément Renard and Hugo Herbelin

11  Development tools

• Makefile’s: Chet Murthy, Jean-Christophe Filliâtre, Judicaël Courant, Lionel Mamane, Pierre Corbineau, Pierre Letouzey with contributions from Stéphane Glondu, Hugo Herbelin, ...
• Debugging: Jean-Christophe Filliâtre with contributions from Jacek Chrząszcz, Hugo Herbelin, Bruno Barras, ...
• ML quotations: David Delahaye and Daniel de Rauglaudre
• ML tactic and vernacular extensions: Hugo Herbelin (first version by Chet Murthy)
• Test suite: collective content, initiated by Jean-Christophe Filliâtre with further extensions by Hugo Herbelin, Jean-Marc Notin

12  Maintenance and system engineering

• General bug support: Gérard Huet, Christine Paulin, Chet Murthy, Jean-Christophe Filliâtre, Hugo Herbelin, Bruno Barras, Pierre Letouzey with contributions at some time from Benjamin Werner, Jean-Marc Notin, Pierre Boutillier, ...
• Team coordination: Gérard Huet, Christine Paulin, Hugo Herbelin, with various other contributions
• Packaging tools: Henri Laulhere, David Delahaye, Julien Narboux, Pierre Letouzey, Enrico Tassi (Windows); Damien Doligez, Hugo Herbelin, Pierre Boutillier (MacOS); Jean-Christophe Filliâtre, Judicaël Courant, Hugo Herbelin, Stéphane Glondu (Linux)

13  Documentation

• Reference Manual: collective, layout by Patrick Loiseleur, Claude Marché (former User’s Guide in 1991 by Gilles Dowek, Amy Felty, Hugo Herbelin, Gérard Huet, Christine Paulin, Benjamin Werner; initial documentation in 1989 by Thierry Coquand, Gilles Dowek, Gérard Huet, Christine Paulin),
• Basic tutorial: Gérard Huet, Gilles Kahn, Christine Paulin
• Tutorial on recursive types: Eduardo Gimenez with updates by Pierre Castéran
• FAQ: Hugo Herbelin, Julien Narboux, Florent Kirchner

14  Features discontinued by lack of support

• Searching modulo isomorphism: David Delahaye
• Explanation of proofs in pseudo-natural language: Yann Coscoy

For probable oversights or accidental errors, please report to Hugo . Herbelin @ inria . fr