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Coq
Jul 20, 2023
Theorem prover based on lambda-C
Developed in the LogiCal project, the Coq tool is a formal proof management system a proof done with Coq is mechanically checked by the machine.
In particular, Coq allows
- the definition of functions or predicates,
- to state mathematical theorems and software specifications,
- to develop interactively formal proofs of these theorems,
- to check these proofs by a small certification “kernel”.
Coq is based on a logical framework called “Calculus of Inductive Constructions” extended by a modular development system for theories.
CoqIde is installed if the x11-toolkits/ocaml-lablgtk2 port is installed.
Checkout these related ports:
- Zn_poly - C library for polynomial arithmetic
- Zimpl - Language to translate the LP models into .lp or .mps
- Zegrapher - Software for plotting mathematical objects
- Zarray - Dynamically typed N-D expression system based on xtensor
- Z3 - Z3 Theorem Prover
- Yices - SMT solver
- Yacas - Yet Another Computer Algebra System
- Xtensor - Multi-dimensional arrays with broadcasting and lazy computing
- Xtensor-python - Python bindings for xtensor
- Xtensor-io - Xtensor plugin to read/write images, audio files, numpy npz and HDF5
- Xtensor-blas - BLAS extension to xtensor
- Xspread - Spreadsheet program for X and terminals
- Xppaut - Graphical tool for solving differential equations, etc
- Xplot - X11 plotting package
- Xlife++ - XLiFE++ eXtended Library of Finite Elements in C++