adic-lean-proof

GhostDrift ADIC Lean Proof

A Lean formalization of a core lemma in ADIC (Advanced Data Integrity by Ledger of Computation), developed by the GhostDrift Mathematical Institute.

Overview

This repository contains a machine-checkable proof artifact for a core safety property used in the ADIC verifier architecture.

The formalization corresponds to the following research work:

Deterministic Linear-Time Verification of Interval Programs via Quantifier-Free Fixed-Point Integer Certificates

Proof File

The Lean formalization is provided in:

ADIC_RSound.lean

Lean Verification Result

The core lemma of ADIC has been formally verified using Lean 4.

Lean verification result

Verification

To verify the proof locally, run:

lake build

Purpose

This repository is released as a formal proof artifact supporting the theoretical foundations of ADIC.

The theoretical framework and results associated with this Lean formalization are described in the following paper:

Zenodo (archival version):
https://zenodo.org/records/18897322

This repository contains a machine-checked Lean formalization of selected core components related to the integer replay verification framework discussed in the paper.

License

MIT License