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\title{Who did what in the Coq archive?}

\author{The Coq development team}

\maketitle

\centerline{(updated for Coq 8.3)}

\section{The Calculus of Inductive Constructions}

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

\section{Specification language}

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

\section{Tactics}

\subsection{General tactic support}

\begin{itemize}
\item Proof engine: Chet Murthy (first version by Thierry Coquand)
\item Ltac: David Delahaye, with extensions by Hugo Herbelin, Bruno Barras, ...
\item Tactic notations: Hugo Herbelin (first version by Chet Murthy)
\item Main tactic unification procedure: Chet Murthy with
  contributions from Hugo Herbelin and Matthieu Sozeau
\item Mathematical-style language (C-Zar): Pierre Corbineau
\item Communication with external tools (\texttt{external}): Hugo Herbelin

\end{itemize}

\subsection{Predefined tactics}

\begin{itemize}
\item Basic tactics (\texttt{intro}, \texttt{apply},
  \texttt{assumption}, \texttt{exact}): Thierry Coquand, with further
  collective extensions
\item Reduction tactics: Christine Paulin (\texttt{simpl}), Bruno
  Barras (\texttt{cbv}, \texttt{lazy}), ...
\item Tacticals: Thierry Coquand, Chet Murthy, Eduardo Gimenez, ...
\item Induction: Christine Paulin (\texttt{elim}, \texttt{case}), Hugo Herbelin (\texttt{induction}, \texttt{destruct}, {\tt e}-variants of them), Matthieu Sozeau ({\tt dependent destruction}, {\tt dependent induction})
\item Refinement (\texttt{refine}): Jean-Christophe Filliâtre
\item Introduction patterns: Eduardo Gimenez with collective extensions
\item Forward reasoning: Hugo Herbelin (\texttt{assert}, \texttt{apply in}), Pierre Letouzey (\texttt{specialize}, initial version by Amy Felty)
\item Rewriting tactics (\texttt{rewrite}): basic version by Christine Paulin,
  extensions by Jean-Christophe Filliâtre ({\tt subst}), Pierre Letouzey (\verb=!=, \verb=?= modifiers) and Matthieu Sozeau (\verb=*=)
\item Tactics about equivalence properties (\texttt{reflexivity},
  \texttt{symmetry}, \texttt{transitivity}): Christine Paulin (?),
  {\tt e}-variants by Hugo Herbelin, type-classes-based generalization to
  arbitrary appropriate relations by Matthieu Sozeau
\item Equality tactics (\texttt{injection}/\texttt{discriminate}):
  Cristina Cornes
\item Inversion tactics (\texttt{inversion}): Cristina Cornes, Chet Murthy
\item Setoid rewriting: Matthieu Sozeau (first version by Clément
  Renard, second version by Claudio Sacerdoti Coen), contributions
  from Nicolas Tabareau
\item Decision of equality: Eduardo Gimenez
\item Basic Ltac-level tactics: Pierre Letouzey, Matthieu Sozeau,
  Evgeny Makarov, Hugo Herbelin
\end{itemize}

\subsection{General automation tactics}

\begin{itemize}
\item Resolution (\texttt{auto}, \texttt{trivial}): Christine Paulin
  with extensions from Chet Murthy, Eduardo Gimenez, Patrick
  Loiseleur (hint bases), Matthieu Sozeau
\item Resolution with existential variables (\texttt{eauto}): Chet Murthy, Jean-Christophe Filliâtre, with extensions from Matthieu Sozeau
\item Automatic rewriting (\texttt{autorewrite}): David Delahaye
\end{itemize}

\subsection{Domain-specific decision tactics}

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

\section{Extra tools}

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

\section{Environment management}

\begin{itemize}
\item Separate compilation: initiated by Chet Murthy
\item Import/Export: initiated by Chet Murthy
\item Options management: Hugo Herbelin with contributions by Arnaud Spiwack
\item Resetting and backtracking: Chet Murthy with contributions from Pierre Courtieu
\item Searching: Hugo Herbelin and Yves Bertot with extensions by Matthias Puech
\item Whelp support: Hugo Herbelin
\end{itemize}

\section{Parsing and printing}

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

\section{Libraries}

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

\section{Commands}

\begin{itemize}
\item Batch compiler (\texttt{coqc}):  Chet Murthy (?)
\item Compilation dependency calculator (\texttt{coqdep}):
  Jean-Christophe Filliâtre
\item Statistic tool (\texttt{coqwc}): Jean-Christophe Filliâtre
\item Simple html presentation tool (\texttt{gallina}) (deprecated): Jean-Christophe Filliâtre
\item Auto-maker (\texttt{coq\_makefile}): Jean-Christophe Filliâtre,
  with contributions from Judicaël Courant
\item LaTeX presentation tool (\texttt{coq-tex}): Jean-Christophe Filliâtre
\item Multi-purpose presentation tool (\texttt{coqdoc}): Jean-Christophe Filliâtre with extensions from
  Matthieu Sozeau, Jean-Marc Notin, Hugo Herbelin
\item Interactive toplevel (\texttt{coqtop}): Jean-Christophe Filliâtre (?)
\item Custom toplevel builder (\texttt{coqmktop}): Jean-Christophe Filliâtre (?)
\end{itemize}

\section{Graphical interfaces}

\begin{itemize}
\item Support for {\em PCoq}: Yves Bertot with contributions by
  Laurence Rideau and Loïc Pottier; additional support for {\em TmEgg}
  by Lionel Mamane
\item Support for {\em Proof General}: Pierre Courtieu
\item {\em CoqIDE}: Benjamin Monate with contributions from
  Jean-Christophe Filliâtre, Claude Marché, Pierre Letouzey, Julien
  Narboux, Hugo Herbelin, Pierre Corbineau, Vincent Gross; uses the Cameleon library
  by Maxence Guesdon
\end{itemize}

\section{Architecture}

\begin{itemize}
\item Functional-kernel-based architecture: Jean-Christophe Filliâtre
\item Extensible objects and summaries: Chet Murthy
\item Hash-consing: Bruno Barras
\item Error locations: Jean-Christophe Filliâtre, Bruno Barras, Hugo Herbelin
\item Existential variables engine: Chet Murthy with revisions by
  Bruno Barras and Arnaud Spiwack and extensions by Clément Renard and
  Hugo Herbelin
\end{itemize}

\section{Development tools}

\begin{itemize}
\item Makefile's: Chet Murthy, Jean-Christophe Filliâtre, Judicaël
  Courant, Lionel Mamane, Pierre Corbineau, Pierre Letouzey
\item Debugging: Jean-Christophe Filliâtre with contributions from Jacek Chrz\k{a}szcz, Hugo Herbelin, Bruno Barras, ...
\item ML quotations: David Delahaye and Daniel de Rauglaudre
\item ML tactic and vernacular extensions: Hugo Herbelin (first version by Chet Murthy)
\item Test suite: collective content, initiated by Jean-Christophe Filliâtre with further extensions by Hugo Herbelin, Jean-Marc Notin
\end{itemize}

\section{Documentation}

\begin{itemize}

\item 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),
\item Basic tutorial: Gérard Huet, Gilles Kahn, Christine Paulin
\item Tutorial on recursive types: Eduardo Gimenez with updates by Pierre Castéran
\item FAQ: Hugo Herbelin, Julien Narboux, Florent Kirchner
\end{itemize}

\section{Features discontinued by lack of support}

\begin{itemize}
\item Searching modulo isomorphism: David Delahaye
\item Explanation of proofs in pseudo-natural language: Yann Coscoy
\end{itemize}

Errors may have been inopportunely introduced, please report them to Hugo~\verb=.=~Herbelin~\verb=@=~inria~\verb=.=~fr

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