Coq/Rocq Proof Formalization & Type Theory

38 repos

Formal verification and mathematical proof development using the Coq/Rocq proof assistant, with strong emphasis on type theory, homotopy type theory, and univalent foundations. The cluster contains proof libraries, tactics for automating theorem proving, algebraic structures for formalization (like big number arithmetic), and dependency analysis tools for managing large proof developments. Repositories here represent both foundational work in constructive mathematics and practical infrastructure for industrial-scale formal verification projects.

Rocq Prover · 25
OCaml · 13
coq ·16,088
dependent-types ·11,872
proof-assistant ·11,152
theorem-proving ·11,152
homotopy-type-theory ·2,810
type-theory ·2,810
univalent-foundations ·2,810
rocq ·2,434
rocq-library ·1,714
rocq-prover ·1,472

Mtac2/Mtac2

No description

Rocq Prover

57

753 commits

Lysxia/coq-simple-io

IO for Gallina

Rocq Prover

34

262 commits

rocq-prover/stdlib

Stdlib for the Rocq Prover

Rocq Prover

41

41,986 commits

coq/stdlib

Stdlib for the Rocq Prover

Rocq Prover

41

41,986 commits

math-comp/math-comp

Mathematical Components

Rocq Prover

696

2,829 commits

HoTT/HoTT

A Coq library for Homotopy Type Theory

Rocq Prover

1,405

7,216 commits