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Research PaperResearchia:202603.03043

A Minimal Agent for Automated Theorem Proving

Borja Requena Pozo

Abstract

We propose a minimal agentic baseline that enables systematic comparison across different AI-based theorem prover architectures. This design implements the core features shared among state-of-the-art systems: iterative proof refinement, library search and context management. We evaluate our baseline using qualitatively different benchmarks and compare various popular models and design choices, and demonstrate competitive performance compared to state-of-the-art approaches, while using a signific...

Submitted: March 3, 2026Subjects: AI; Artificial Intelligence

Description / Details

We propose a minimal agentic baseline that enables systematic comparison across different AI-based theorem prover architectures. This design implements the core features shared among state-of-the-art systems: iterative proof refinement, library search and context management. We evaluate our baseline using qualitatively different benchmarks and compare various popular models and design choices, and demonstrate competitive performance compared to state-of-the-art approaches, while using a significantly simpler architecture. Our results demonstrate consistent advantages of an iterative approach over multiple single-shot generations, especially in terms of sample efficiency and cost effectiveness. The implementation is released open-source as a candidate reference for future research and as an accessible prover for the community.


Source: arXiv:2602.24273v1 - http://arxiv.org/abs/2602.24273v1 PDF: https://arxiv.org/pdf/2602.24273v1 Original Link: http://arxiv.org/abs/2602.24273v1

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Submission Info
Date:
Mar 3, 2026
Topic:
Artificial Intelligence
Area:
AI
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