……定理的自然语言描述,模型就能自动形式化吗?如果证明成功,我能拿到 Lean 证明的自然语言解释吗?——我正琢磨着用它来刷一遍《抽象代数基础》(Elements of Abstract Algebra),但不确定它有没有这么广的通用性?
…description of the theorem to be proven and the model will automatically formalize it? And can I get a natural language interpretation of the Lean proof in case of success? --- I'm thinking of working through Elements of Abstract Algebra with this, but not sure if it has such general applicability?
The model does well on highschool competition maths. Problems in the "Set Theory" and "Natural Numbers" chapters of Elements of Abstract Algebra may be doable with Kimina-Prover, nothing beyond because it doesn't know Sylow theorem etc. and hasn't used these objects with Lean 4 in practice. You can start with a natural language description of…
……定理的自然语言描述,模型就能自动形式化吗?如果证明成功,我能拿到 Lean 证明的自然语言解释吗?——我正琢磨着用它来刷一遍《抽象代数基础》(Elements of Abstract Algebra),但不确定它有没有这么广的通用性?
…description of the theorem to be proven and the model will automatically formalize it? And can I get a natural language interpretation of the Lean proof in case of success? --- I'm thinking of working through Elements of Abstract Algebra with this, but not sure if it has such general applicability?
这模型做高中竞赛数学挺在行的。《抽象代数基础》里“集合论”和“自然数”这两章的题,用 Kimina-Prover 应该能搞定,再往后的就不行了,因为它不懂西罗定理(Sylow theorem)之类的,而且实际也没在 Lean 4 里用过这些数学对象。你可以先从一段自然语言描述开始……
The model does well on highschool competition maths. Problems in the "Set Theory" and "Natural Numbers" chapters of Elements of Abstract Algebra may be doable with Kimina-Prover, nothing beyond because it doesn't know Sylow theorem etc. and hasn't used these objects with Lean 4 in practice. You can start with a natural language description of…