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In mathematical logic and computer science, homotopy type theory (HoTT /hɒt/) refers to various lines of development of intuitionistic type theory, based on the interpretation of types as objects to which the intuition of (abstract) homotopy theory applies.

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  • Homotopietypentheorie (de)
  • Teoría de tipos homotópica (es)
  • Homotopy type theory (en)
  • Théorie des types homotopiques (fr)
  • Гомотопическая теория типов (ru)
  • 同伦类型论 (zh)
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  • 在数理逻辑与计算机科学中,同伦类型论(homotopy type theory,缩写 HoTT)是一套旨在于同伦论的大框架下构建内涵类型论语义的理论,尤指和。反而言之,内涵类型论则为同伦理论提供了一套逻辑语言。类型论在绝大多数计算机证明辅助系统中被用作集合论的替代理论,因为集合论的语言难以转化成计算机证明辅助的形式语言。 (zh)
  • In mathematical logic and computer science, homotopy type theory (HoTT /hɒt/) refers to various lines of development of intuitionistic type theory, based on the interpretation of types as objects to which the intuition of (abstract) homotopy theory applies. (en)
  • En lógica matemática y ciencias de la computación, la teoría de tipos homotópica (HoTT /hɒt/, por sus siglas en inglés) son varias líneas de desarrollo de la teoría de tipos intensional, basada en interpretar los tipos como objetos a los cuales se aplican las intuiciones de la teoría de homotopía abstracta.​ (es)
  • Dans la logique mathématique et de l’informatique, la théorie des types homotopiques (en anglais : Homotopy Type Theory HoTT) fait référence à différentes lignes de développement de la théorie des types intuitionnistes, basée sur l’interprétation des types comme des objets auxquels l’intuition de la théorie de l’homotopie s’applique. (fr)
  • Гомотопическая теория типов (HoTT, от англ. homotopy type theory) — математическая теория, особый вариант теории типов, снабжённый понятиями из теории категорий, алгебраической топологии, гомологической алгебры; базируется на взаимосвязи между понятиями о гомотопическом типе пространства, и типах в логике и языках программирования. (ru)
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