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holbert:专为教育设计的图形化交互式证明助手
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2021-03-13
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霍尔伯特 Holbert是基于高阶逻辑和自然推论的交互式定理证明者或证明助手。 此外,霍尔伯特是图形化的。 它使用传统的推理规则表示法和证明树来提供证明和规则。 它旨在供学生使用,而无需使用定理证明者的任何专业知识。 它不包含证明脚本(传统意义上的脚本),战术或其他此类复杂功能。 您可以尝试现场演示来试用Holbert(该版本可能不是GitHub上可用的最新版本)。 这个Holbert实例详细说明了其设计背后的原理以及我的预期目标。 像伊莎贝尔(Isabelle)一样,霍尔伯特(Holbert)只是纯粹的元逻辑。 尽管所有连接词都可以在系统中定义,但它本身并未定义任何连接词(例如合取或析取)。 对于绑定结构和量词,可以使用更高阶的抽象语法。 与传统定理证明者不同,霍尔伯特的术语语言只是无类型的λ演算。 尽管从技术上讲这使逻辑不合理,但将其用作教学工具要简单得多。 霍尔伯特(Holb
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