Proof Recommendation System for the HOL4 Theorem Prover

Fuente: arXiv
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Auteurs principaux: Dekhil, Nour, Rashid, Adnan, Tahar, Sofiene
Format: Preprint
Publié: 2024
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author Dekhil, Nour
Rashid, Adnan
Tahar, Sofiene
author_facet Dekhil, Nour
Rashid, Adnan
Tahar, Sofiene
contents We introduce a proof recommender system for the HOL4 theorem prover. Our tool is built upon a transformer-based model [2] designed specifically to provide proof assistance in HOL4. The model is trained to discern theorem proving patterns from extensive libraries of HOL4 containing proofs of theorems. Consequently, it can accurately predict the next tactic(s) (proof step(s)) based on the history of previously employed tactics. The tool operates by reading a given sequence of tactics already used in a proof process (in our case, it contains at least three tactics), referred to as the current proof state, and provides recommendations for the next optimal proof step(s).
format Preprint
id arxiv_https___arxiv_org_abs_2501_05463
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Proof Recommendation System for the HOL4 Theorem Prover
Dekhil, Nour
Rashid, Adnan
Tahar, Sofiene
Logic in Computer Science
Artificial Intelligence
We introduce a proof recommender system for the HOL4 theorem prover. Our tool is built upon a transformer-based model [2] designed specifically to provide proof assistance in HOL4. The model is trained to discern theorem proving patterns from extensive libraries of HOL4 containing proofs of theorems. Consequently, it can accurately predict the next tactic(s) (proof step(s)) based on the history of previously employed tactics. The tool operates by reading a given sequence of tactics already used in a proof process (in our case, it contains at least three tactics), referred to as the current proof state, and provides recommendations for the next optimal proof step(s).
title Proof Recommendation System for the HOL4 Theorem Prover
topic Logic in Computer Science
Artificial Intelligence
url https://arxiv.org/abs/2501.05463