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AI agents show promise in program verification and theorem proving

Researchers are exploring the use of agentic AI systems, particularly those leveraging large language models (LLMs), for complex tasks like program verification and mathematical theorem proving. Studies show these systems can achieve high success rates in generating valid specifications and certifying code, sometimes outperforming specialized models on new benchmarks. However, the research also highlights a growing gap between current AI capabilities and the rigor of existing verification benchmarks, suggesting a need for more robust evaluation methods. AI

IMPACT Agentic AI systems are demonstrating advanced capabilities in formal verification, potentially accelerating the development and reliability of complex software and mathematical proofs.

RANK_REASON Multiple research papers published on arXiv detailing new agentic AI frameworks for program verification and theorem proving.

Read on arXiv cs.CL →

AI-generated summary · Google Gemini · from 4 sources. How we write summaries →

COVERAGE [4]

  1. arXiv cs.AI TIER_1 English(EN) · Alessandro Sosso, Akhil Arora, Bas Spitters ·

    Agentic Proving for Program Verification

    arXiv:2605.23772v1 Announce Type: new Abstract: Agentic systems have recently emerged as state-of-the-art approaches for automated theorem proving in formal mathematics. To assess how far these capabilities extend to program verification, we evaluate Claude Code in an agentic pro…

  2. arXiv cs.AI TIER_1 English(EN) · Benjamin Breen, Marco Del Tredici, Jacob McCarran, Javier Aspuru Mijares, Weichen Winston Yin, Kfir Sulimany, Jacob M. Taylor, Frank H. L. Koppens, Dirk Englund ·

    Ax-Prover: A Deep Reasoning Agentic Framework for Theorem Proving in Mathematics and Quantum Physics

    arXiv:2510.12787v4 Announce Type: replace Abstract: We present Ax-Prover, a multi-agent system for automated theorem proving in Lean that can solve problems across diverse scientific domains and operate either autonomously or collaboratively with human experts. To achieve this, A…

  3. arXiv cs.AI TIER_1 English(EN) · Bas Spitters ·

    Agentic Proving for Program Verification

    Agentic systems have recently emerged as state-of-the-art approaches for automated theorem proving in formal mathematics. To assess how far these capabilities extend to program verification, we evaluate Claude Code in an agentic proving framework on CLEVER, a Lean 4 benchmark for…

  4. arXiv cs.CL TIER_1 English(EN) · Riyaz Ahuja, Jeremy Avigad, Prasad Tetali, Sean Welleck ·

    ImProver: Agent-Based Automated Proof Optimization

    arXiv:2410.04753v2 Announce Type: replace-cross Abstract: Large language models (LLMs) have been used to generate formal proofs of mathematical theorems in proofs assistants such as Lean. However, we often want to optimize a formal proof with respect to various criteria, dependin…