Towards LLM-based Generation of Human-Readable Proofs in Polynomial Formal Verification

Fuente: arXiv
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Main Author: Drechsler, Rolf
Format: Preprint
Published: 2025
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author Drechsler, Rolf
author_facet Drechsler, Rolf
contents Verification is one of the central tasks in circuit and system design. While simulation and emulation are widely used, complete correctness can only be ensured based on formal proof techniques. But these approaches often have very high run time and memory requirements. Recently, Polynomial Formal Verification (PFV) has been introduced showing that for many instances of practical relevance upper bounds on needed resources can be given. But proofs have to be provided that are human-readable. Here, we study how modern approaches from Artificial Intelligence (AI) based on Large Language Models (LLMs) can be used to generate proofs that later on can be validated based on reasoning engines. Examples are given that show how LLMs can interact with proof engines, and directions for future work are outlined.
format Preprint
id arxiv_https___arxiv_org_abs_2505_23311
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Towards LLM-based Generation of Human-Readable Proofs in Polynomial Formal Verification
Drechsler, Rolf
Logic in Computer Science
Hardware Architecture
Symbolic Computation
68W30, 68M07, 68W35
B.2.1; B.6.3; F.2.2
Verification is one of the central tasks in circuit and system design. While simulation and emulation are widely used, complete correctness can only be ensured based on formal proof techniques. But these approaches often have very high run time and memory requirements. Recently, Polynomial Formal Verification (PFV) has been introduced showing that for many instances of practical relevance upper bounds on needed resources can be given. But proofs have to be provided that are human-readable. Here, we study how modern approaches from Artificial Intelligence (AI) based on Large Language Models (LLMs) can be used to generate proofs that later on can be validated based on reasoning engines. Examples are given that show how LLMs can interact with proof engines, and directions for future work are outlined.
title Towards LLM-based Generation of Human-Readable Proofs in Polynomial Formal Verification
topic Logic in Computer Science
Hardware Architecture
Symbolic Computation
68W30, 68M07, 68W35
B.2.1; B.6.3; F.2.2
url https://arxiv.org/abs/2505.23311