arXiv subjects

Raphaël Cauderlier

Publications and source records attributed to Raphaël Cauderlier.

6 recordsLinked to original sources

arXiv2023

Dedukti: a Logical Framework based on the $λ$$Π$-Calculus Modulo Theory

Dedukti is a Logical Framework based on the $λ$$Π$-Calculus Modulo Theory. We show that many theories can be expressed in Dedukti: constructive and classical predicate logic, Simple type theory, programming languages, Pure type systems, the Calculus of inductive constructions with universes, etc. and that permits to used it to check large libraries of proofs developed in other proof systems: Zenon, iProver, FoCaLiZe, HOL Light, and Matita.

cs.LO↗

arXiv2021

Making Tezos smart contracts more reliable with Coq

Tezos is a smart-contract blockchain. Tezos smart contracts are written in a low-level stack-based language called Michelson. This article gives an overview of efforts using the Coq proof assistant to have stronger guarantees on Michelson smart contracts: the Mi-Cho-Coq framework, a Coq library defining formal semantics of Michelson, as well as an interpreter, a simple optimiser and a weakest-precondition calculus to reason about Michelson smart contracts; Albert, an intermediate language that abstracts Michelson stacks with a compiler written in Coq that targets Mi-Cho-Coq.

cs.PL↗

arXiv2020

Albert, an intermediate smart-contract language for the Tezos blockchain

Tezos is a smart-contract blockchain. Tezos smart contracts are written in a low-level stack-based language called Michelson. In this article we present Albert, an intermediate language for Tezos smart contracts which abstracts Michelson stacks as linearly typed records. We also describe its compiler to Michelson, written in Coq, that targets Mi-Cho-Coq, a formal specification of Michelson implemented in Coq.

cs.PL↗

arXiv2019

Mi-Cho-Coq, a framework for certifying Tezos Smart Contracts

Tezos is a blockchain launched in June 2018. It is written in OCaml and supports smart contracts. Its smart contract language is called Michelson and it has been designed with formal verification in mind. In this article, we present Mi-Cho-Coq, a Coq framework for verifying the functional correctness of Michelson smart contracts. As a case study, we detail the certification of a Multisig contract with the Mi-Cho-Coq framework.

cs.PL↗

arXiv2015

Checking Zenon Modulo Proofs in Dedukti

Dedukti has been proposed as a universal proof checker. It is a logical framework based on the lambda Pi calculus modulo that is used as a backend to verify proofs coming from theorem provers, especially those implementing some form of rewriting. We present a shallow embedding into Dedukti of proofs produced by Zenon Modulo, an extension of the tableau-based first-order theorem prover Zenon to deduction modulo and typing. Zenon Modulo is applied to the verification of programs in both academic and industrial projects. The purpose of our embedding is to increase the confidence in automatically generated proofs by separating untrusted proof search from trusted proof verification.

cs.LO↗

arXiv2015

Mixing HOL and Coq in Dedukti (Extended Abstract)

We use Dedukti as a logical framework for interoperability. We use automated tools to translate different developments made in HOL and in Coq to Dedukti, and we combine them to prove new results. We illustrate our approach with a concrete example where we instantiate a sorting algorithm written in Coq with the natural numbers of HOL.

cs.LO↗