Proof Verification with GDV and LambdaPi - It's a Matter of Trust

Automated Theorem Proving (ATP) is concerned with the development and use of software that automates sound reasoning. An ATP system can be required to output a proof that serves as a certificate for the system's claim. To ensure that a proof is correct, verification can be required. If the ver...

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Main Authors: Geoff Sutcliffe, Frédéric Blanqui, Guillaume Burel
Format: Article
Language:English
Published: LibraryPress@UF 2025-05-01
Series:Proceedings of the International Florida Artificial Intelligence Research Society Conference
Online Access:https://journals.flvc.org/FLAIRS/article/view/138642
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author Geoff Sutcliffe
Frédéric Blanqui
Guillaume Burel
author_facet Geoff Sutcliffe
Frédéric Blanqui
Guillaume Burel
author_sort Geoff Sutcliffe
collection DOAJ
description Automated Theorem Proving (ATP) is concerned with the development and use of software that automates sound reasoning. An ATP system can be required to output a proof that serves as a certificate for the system's claim. To ensure that a proof is correct, verification can be required. If the verifier outputs evidence in a form that can be independently checked, that evidence serves as a certificate for the verifier's claim. The sequence of finding a proof, verifying the proof, and certifying the verification, builds an increasing level of trust in the system. This paper traces one such path for TPTP format proofs generated by ATP systems, via the GDV derivation verifier, and ending at the LambdaPi checker.
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series Proceedings of the International Florida Artificial Intelligence Research Society Conference
spelling doaj-art-f6c4b4e54e13446e848623fd8a13ebb42025-08-20T03:09:44ZengLibraryPress@UFProceedings of the International Florida Artificial Intelligence Research Society Conference2334-07542334-07622025-05-0138110.32473/flairs.38.1.138642Proof Verification with GDV and LambdaPi - It's a Matter of TrustGeoff Sutcliffe0https://orcid.org/0000-0001-9120-3927Frédéric Blanqui1https://orcid.org/0000-0001-7438-5554Guillaume Burel2University of MiamiUniversité Paris-Saclay, ENS Paris-Saclay, CNRS, INRIA, Laboratoire Méthodes FormellesGuillaume Burel Laboratoire Samovar École Nationale Supérieure d’Informatique pour l’Industrie et l’Entreprise Automated Theorem Proving (ATP) is concerned with the development and use of software that automates sound reasoning. An ATP system can be required to output a proof that serves as a certificate for the system's claim. To ensure that a proof is correct, verification can be required. If the verifier outputs evidence in a form that can be independently checked, that evidence serves as a certificate for the verifier's claim. The sequence of finding a proof, verifying the proof, and certifying the verification, builds an increasing level of trust in the system. This paper traces one such path for TPTP format proofs generated by ATP systems, via the GDV derivation verifier, and ending at the LambdaPi checker. https://journals.flvc.org/FLAIRS/article/view/138642
spellingShingle Geoff Sutcliffe
Frédéric Blanqui
Guillaume Burel
Proof Verification with GDV and LambdaPi - It's a Matter of Trust
Proceedings of the International Florida Artificial Intelligence Research Society Conference
title Proof Verification with GDV and LambdaPi - It's a Matter of Trust
title_full Proof Verification with GDV and LambdaPi - It's a Matter of Trust
title_fullStr Proof Verification with GDV and LambdaPi - It's a Matter of Trust
title_full_unstemmed Proof Verification with GDV and LambdaPi - It's a Matter of Trust
title_short Proof Verification with GDV and LambdaPi - It's a Matter of Trust
title_sort proof verification with gdv and lambdapi it s a matter of trust
url https://journals.flvc.org/FLAIRS/article/view/138642
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