A function definition package for Rocq

Coq plugin providing tactics for rewriting universally quantified equations, modulo associative (and possibly commutative) operators [maintainer=@palmskog]

Write Web Apps Like Mathematical Equations! (in Coq)

Validated Numerics in Coq: Differential Equations, integrals and more.

Rewriting and verifying subterm relation from Coq-Equations in MetaCoq

Docker Image based on docker-coq with coq-equations

Coq-Equations addon for jsCoq

Comparison of Coq-Equations and LiquidHaskell

A case study on using Function and Equations to avoid case explosion in proofs about pattern-matching

Solving recursive domain equations in Coq.

An automated equational reasoning library for Coq

Equation theorem proving plugin for Coq, using twee.

Coq certified equational reasoning between programs written in IMP language.

Using Coq proof assistant for formal verification of a numerical algorithm used to solve differential equations

Playing around with how to reason about functions defined with `Program Fixpoint` and `Equations` in Coq

Coq certified equational reasoning between programs written in IMP-EX language.

A Coq formalization and solver for general multivariate recursive domain equations, enabling the construction and verification of solutions for recursive structures in programming language semantics and formal methods.

Complete proof of global existence and smoothness for 3D Navier-Stokes equations (Clay Millennium Problem case A) using W2,log⁡0W^0_{2,\log}W^0_{2,\log} spaces and CDF wavelets. Fully formalized in Coq, validated by $1024^3$-grid DNS.

Probabilistic conditional independence (PCI) plays a fundamental role in many disciplines of sciences including statistics and artificial intelligence. Several axiomatic approaches to PCI have been proposed in statistics literatures since the late 1970s. A recently proposed universal algebraic framework, called cain (Wang, 2010), has the advantage over other approaches in that all relations concerning PCI are expressed in equational forms. The current paper describes our ongoing project on formalizing the theories of cain using the proof assistant Coq/ssreflect. We conjecture that formalization of the cain will lay both a mathematical and computational foundation for mechanically, or even automatically, manipulating the complex probabilistic cause-and-effect relations in terms of PCI relations.