Automated Conjecture Resolution with Formal Verification
自动猜想解决与形式化验证
机构 * School of Mathematical Sciences, Peking University(北京大学数学科学学院) ; Westlake Institute for Advanced Study, Westlake University(西拉雅大学先进研究所) ; School of Mathematics, Tianjin University(天津大学数学学院) ; Research Institute for Mathematical Sciences, Kyoto University(京都大学数学研究所) ; Department of Mathematics, Stanford University(斯坦福大学数学系) ; IQuest Research(IQuest研究) ; New Cornerstone Science Laboratory, School of Mathematical Sciences, Peking University(北京大学数学科学学院新基石科学实验室) ; Beijing International Center for Mathematical Research and the New Cornerstone Science Laboratory, Peking University(北京大学国际数学研究所以及新基石科学实验室) ; Center for Machine Learning Research, Peking University(北京大学机器学习研究中心) ; Center for Intelligent Computing, Great Bay Institute for Advanced Study, Great Bay University(大湾大学先进研究所智能计算中心) ; Zhongguancun Academy(中关村学院)
专题命中 代码与定理证明 :reasoning(abstract);分类 cs.AI、cs.LG
AI总结 提出一个集成非形式化推理与形式化验证的自动框架,通过两个组件Rethlas和Archon解决研究级数学问题,并成功解决交换代数中的开放问题并在Lean 4中形式化验证。
Comments Code and resources are available at: Rethlas (https://github.com/frenzymath/Rethlas), Rethlas Results (https://github.com/frenzymath/Rethlas_results), Archon (https://github.com/frenzymath/Archon), and the formalization results (https://github.com/frenzymath/Anderson-Conjecture)