Search Results - "type theory"

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    Normalisation by evaluation for type theory, in type theory by Altenkirch, Thorsten, Kaposi, Ambrus

    Published 2017
    Subjects: “…normalisation by evaluation; dependent types; internal type theory; logical relations; Agda…”
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    Quotient types in type theory by Li, Nuo

    Published 2015
    Subjects: “…Type Theory…”
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    Truncation levels in homotopy type theory by Kraus, Nicolai

    Published 2015
    Subjects: “…homotopy type theory…”
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    Models of type theory with strict equality by Capriotti, Paolo

    Published 2017
    “…This thesis introduces the idea of two-level type theory, an extension of Martin-Löf type theory that adds a notion of strict equality as an internal primitive. …”
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    Twisted Cubes and their Applications in Type Theory by Pinyo, Gun

    Published 2023
    “…This thesis captures the ongoing development of twisted cubes, which is a modification of cubes (in a topological sense) where its homotopy type theory does not require paths or higher paths to be invertible. …”
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    Free higher groups in homotopy type theory by Kraus, Nicolai, Altenkirch, Thorsten

    Published 2018
    “…Given a type A in homotopy type theory (HoTT), we can define the free ∞-group on A as the higher inductive type F (A)with constructors unit: F(A),cons : A → F(A) → F(A), and conditions saying that every cons(a)is an auto-equivalence on F(A). …”
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    Constructions with non-recursive higher inductive types by Kraus, Nicolai

    Published 2016
    Subjects: “…Homotopy type theory…”
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    Bootstrapping extensionality by Sestini, Filippo

    Published 2023
    Subjects: “…type theory…”
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