Search Results - "type theory"
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Normalisation by evaluation for type theory, in type theory
Published 2017Subjects: “…normalisation by evaluation; dependent types; internal type theory; logical relations; Agda…”
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Type theory in a type theory with quotient inductive types
Published 2017Subjects: “…type theory…”
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Truncation levels in homotopy type theory
Published 2015Subjects: “…homotopy type theory…”
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Models of type theory with strict equality
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
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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Extending homotopy type theory with strict equality
Published 2016Subjects: “…homotopy type theory…”
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Free higher groups in homotopy type theory
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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Notions of anonymous existence in Martin-Löf type theory
Published 2016Subjects: “…homotopy type theory…”
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Towards a cubical type theory without an interval
Published 2017Subjects: “…homotopy type theory…”
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Constructions with non-recursive higher inductive types
Published 2016Subjects: “…Homotopy type theory…”
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Types with extra structure: predicates, equations, composition
Published 2024Subjects: “…type theory…”
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Higher inductive types, inductive families, and inductive-inductive types
Published 2020Subjects: “…Homotopy type theory…”
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Univalent higher categories via complete semi-segal types
Published 2018Subjects: “…Homotopy type theory…”
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Partiality, revisited: the partiality monad as a quotient inductive-inductive type
Published 2017Subjects: “…homotopy type theory…”
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