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English(EN) Animation, Verification and Visualisation of Prolog Transition Systems with ProB

AI 通过新工具和基准推动形式化证明系统发展 · 跟踪 4 个来源

研究人员为形式化定理证明开发了新工具和基准,该领域与 AI 的相关性日益增强。一篇论文详细介绍了一个用于 Event-B 的交互式序列证明器,该证明器用 Prolog 编码,在教学和证明分析方面具有优势。另一篇论文介绍了 ProB(一个基于 Prolog 的模型检查器)的扩展,用于动画和可视化 Prolog 转换系统,并应用于游戏策略评估和教学。第三项贡献引入了 ITPEval,这是第一个用于在不同交互式定理证明器 (ITP) 之间翻译形式化证明的基准,揭示了库不匹配是基于 LLM 的翻译的一个重要瓶颈。最后,一个名为 AoA 的新代理程序在抽象语法树上运行,而不是在具体语法上运行,这显著降低了基于 LLM 的证明代理程序的 API 成本并提高了效率,同时也支持使用新的证明语言。 AI

影响 形式化证明系统和基准的这些进展可能会加速 AI 在程序验证和形式化数学方面的能力。

排序理由 在 arXiv 上发表了多篇研究论文,详细介绍了形式化定理证明和 AI 方面的新工具、基准和方法。

在 arXiv cs.AI 阅读 →

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AI 通过新工具和基准推动形式化证明系统发展 · 跟踪 4 个来源

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在 arXiv 上发表了多篇研究论文,详细介绍了形式化定理证明和 AI 方面的新工具、基准和方法。
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报道来源 [4]

  1. arXiv cs.AI TIER_1 English(EN) · Katharina Engels (Heinrich Heine University D\"usseldorf), Jan Gruteser (Heinrich Heine University D\"usseldorf), Michael Leuschel (Heinrich Heine University D\"usseldorf) ·

    在Prolog中编码Event-B证明规则:ProB的交互式序列证明器

    arXiv:2607.21191v1 Announce Type: cross Abstract: Event-B is a formal method rooted in predicate logic and set theory. We encoded over 600 proof rules in Prolog, enabling a systematic, comprehensible proof analysis and construction. By integrating the proof rules into the Prolog-…

  2. arXiv cs.AI TIER_1 English(EN) · Jan Gruteser (Heinrich Heine University D\"usseldorf), Michael Leuschel (Heinrich Heine University D\"usseldorf), Katharina Engels (Heinrich Heine University D\"usseldorf), Fabian Vu (Heinrich Heine University D\"usseldorf) ·

    ProB 中 Prolog 转换系统的动画、验证和可视化

    arXiv:2607.21192v1 Announce Type: cross Abstract: ProB is a Prolog-based model checker, animator and constraint solver for high-level formal specifications. One can also use ProB to animate transition systems defined by Prolog predicates, allowing the application of its various v…

  3. arXiv cs.AI TIER_1 English(EN) · Jiayi Wu, Robert Joseph George, Anima Anandkumar ·

    ITPEval:交互式定理证明器之间的形式化翻译基准测试

    arXiv:2607.19407v1 Announce Type: new Abstract: Formal theorem proving has emerged as a frontier challenge for machine learning, yet the ecosystem is fragmented: proofs remain siloed across incompatible systems, limiting both training data for learning-based provers and the porta…

  4. arXiv cs.AI TIER_1 English(EN) · Qiyuan Xu, Joshua Ong Jun Leang, Renxi Wang, Wenda Li, Haonan Li, Luke Ong, Conrad Watt ·

    AoA:基于重构语言抽象语法树的定理证明代理

    arXiv:2607.16372v1 Announce Type: cross Abstract: Interactive theorem proving (ITP) underpins program verification and formalized mathematics, but its manual effort limits scalability. LLM-based proof agents promise to ease this effort, but their heavy token consumption and API c…