• Tools

Some of the tools listed here are part of bigger projects that support other proof assistants/theorem provers. Another list of Coq-related tools can be found at http://coq.inria.fr/tools1-eng.html.

Interface for Editing Proofs

• CoqIDE

  • The graphical user interface distributed with Coq.

• PCoq

  • A graphical user interface for Coq. The environment provides ways to edit structurally formulas and commands, new notations can easily be added. It allows proof by pointing.

• ProofGeneral

  • ProofGeneral is a generic interface for proof assistants, based on the customizable text editor Emacs.

• TmCoq

  • TmCoq integrates Coq within TeXmacs.

• GeoProof

  • GeoProof is a dynamic geometry software, with can communicate with CoqIDE to build the formula corresponding to a geometry figure interactively.

• Papuq

  • Papuq is patched version of CoqIde with teaching oriented features.

• tmEgg

  • Coq plugin for TeXmacs

Interface for Browsing Proofs

• Helm is a browsable and searchable (using the Whelp tool) repository of formal mathematics (includes the Coq User Contributions).

Presenting Proofs

• coqdoc exports vernacular file to TeX or HTML. It is part of the Coq distribution and documented in the Reference Manual.

• enscript mode for Coq http://www.cs.ru.nl/~milad/programs/enscript

Tactics packages

• Micromega: solves linear (Fourier-Motzkin) and non linear (Sum-of-Square's algorithm) systems of polynomial inequations; also provides a (partial) replacement for the Coq's omega tactic.

• Ssreflect facilitates proof by small scale reflection, "a style of proof that ... provide[s] effective automation for many small, clerical proof steps. This is often accomplished by restating ("reflecting") problems in a more concrete form ... For example, in the Ssreflect library arithmetic comparison is not an abstract predicate, but a function computing a boolean. (source)"

• AAC_tactics provides tactics that facilitates the rewriting of universal equations,modulo associative and possibly commutative operators, and modulo neutral elements (units).

Packaging extracted code

• Z_interface An approach for deriving directly standalone programs from extracted code.