Coq is a formal proof management system. It provides a formal language to write mathematical definitions, executable algorithms and theorems together with an environment for semi-interactive development of machine-checked proofs.
A Proof-oriented Programming Language
Lean Theorem Prover
Lean 3's obsolete mathematical components library: please use mathlib4
CakeML: A Verified Implementation of ML
LLMs as Copilots for Theorem Proving in Lean
Canonical sources for HOL4 theorem-proving system. Branch develop is where “mainline development” occurs; when develop passes our regression tests, master is merged forward to catch up.
Software Foundations in Idris
Tool for data extraction and interacting with Lean programmatically.
Bug-free machine learning on stochastic computation graphs
A Learning Environment for Theorem Proving with the Coq proof assistant
Links to tools by subject
ACL2 System and Books as Maintained by the Community
An exhaustive list of all Rust resources regarding automated or semi-automated formalization efforts in any area, constructive mathematics, formal algorithms, and program verification.
Proving Ground: Tools for Automated Mathematics
Retrieval-Augmented Theorem Provers for Lean
Tableau-based Theorem Prover for Natural Logic and Language
llmstep: [L]LM proofstep suggestions in Lean 4.
GAPT: General Architecture for Proof Theory
Jupyter kernel for Coq
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