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05/07/2021
Constructing Initial Algebras Using Inflationary Iteration
An old theorem of Adámek constructs initial algebras for sufficiently co...
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01/08/2021
Quotients, inductive types, and quotient inductive types
This paper introduces an expressive class of indexed quotient-inductive ...
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11/15/2019
Constructing Infinitary Quotient-Inductive Types
This paper introduces an expressive class of quotient-inductive types, c...
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07/17/2019
Typal Heterogeneous Equality Types
The usual homogeneous form of equality type in Martin-Löf Type Theory co...
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04/14/2018
Modal Dependent Type Theory and Dependent Right Adjoints
In recent years we have seen several new models of dependent type theory...
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02/15/2018
Models of Type Theory Based on Moore Paths
This paper introduces a new family of models of intensional Martin-Löf t...
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01/23/2018
Internal Universes in Models of Homotopy Type Theory
We show that universes of fibrations in various models of homotopy type ...
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12/13/2017
Decomposing the Univalence Axiom
This paper investigates the univalence axiom in intensional Martin-Löf t...
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12/13/2017