We construct a model of cubical type theory with a univalent and impredicative universe in a category of cubical assemblies. We show that this impredicative universe in the cubical assembly model does not satisfy a form of propositional resizing
We present a model of type theory with dependent product, sum, and identity, in cubical sets. We des...
In this paper we provide a syntax for the cubical set model of type theory [3]. We start by defining...
This article proposes a way of doing type theory informally, assuming a cubical style of reasoning. ...
We construct a model of cubical type theory with a univalent and impredicative universe in a categor...
We present a model of type theory with dependent product, sum, and identity, in cubical sets. We des...
This paper presents a type theory in which it is possible to directly manipulate $n$-dimensional c...
We present a model of type theory with dependent product, sum, and identity, in cubical sets. We des...
We present a new constructive model of univalent type theory based on cubical sets. Unlike prior wor...
Following the cubical set model of type theory which validates the univalence axiom, cubical type th...
International audienceThis paper presents a type theory in which it is possible to directly manipula...
Following the cubical set model of type theory which validates the univalence axiom, cubical type th...
Following the cubical set model of type theory which validates the univalence axiom, cubical type th...
The interpretation of types in intensional Martin-Löf type theory as spaces and their equalities as ...
International audienceHomotopy type theory is an extension of type theory that enables synthetic rea...
Following the cubical set model of type theory which validates the univalence axiom, cubical type th...
We present a model of type theory with dependent product, sum, and identity, in cubical sets. We des...
In this paper we provide a syntax for the cubical set model of type theory [3]. We start by defining...
This article proposes a way of doing type theory informally, assuming a cubical style of reasoning. ...
We construct a model of cubical type theory with a univalent and impredicative universe in a categor...
We present a model of type theory with dependent product, sum, and identity, in cubical sets. We des...
This paper presents a type theory in which it is possible to directly manipulate $n$-dimensional c...
We present a model of type theory with dependent product, sum, and identity, in cubical sets. We des...
We present a new constructive model of univalent type theory based on cubical sets. Unlike prior wor...
Following the cubical set model of type theory which validates the univalence axiom, cubical type th...
International audienceThis paper presents a type theory in which it is possible to directly manipula...
Following the cubical set model of type theory which validates the univalence axiom, cubical type th...
Following the cubical set model of type theory which validates the univalence axiom, cubical type th...
The interpretation of types in intensional Martin-Löf type theory as spaces and their equalities as ...
International audienceHomotopy type theory is an extension of type theory that enables synthetic rea...
Following the cubical set model of type theory which validates the univalence axiom, cubical type th...
We present a model of type theory with dependent product, sum, and identity, in cubical sets. We des...
In this paper we provide a syntax for the cubical set model of type theory [3]. We start by defining...
This article proposes a way of doing type theory informally, assuming a cubical style of reasoning. ...