\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 \end{itemize} \item Minimalist stand-alone type-checker (\texttt{coqchk}): Bruno Barras \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} \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 and Pierre Letouzey \item Tactics about equivalence properties (\texttt{reflexivity}, \texttt{symmetry}, \texttt{transitivity}): Christine Paulin (?), \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 \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 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}) \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, Yves Bertot \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 \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 and Cezary Kaliszyk \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 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) \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 \item Strings: Laurent Théry \item Program: Matthieu Sozeau \item Unicode: Claude Marché \end{itemize}
\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; 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 a revision by
Bruno Barras 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
\end{document}
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