We will give a detailed account of why the simplicial sets model of the univalence axiom due to Voevodsky also models W-types. In addition, we will discuss W-types in categories of simplicial presheaves and an application to models of set theory
This paper investigates Voevodsky's univalence axiom in intensional Martin-Löf type theory. In parti...
The problem of defining Semi-Simplicial Types (SSTs) in Homotopy Type Theory (HoTT) has been recogni...
The homotopical approach to intensional type theory views proofs of equality as paths. We explore wh...
We will give a detailed account of why the simplicial sets model of the univalence axiom due to Voev...
Abstract. Recent discoveries have been made connecting abstract homotopy theory and the field of typ...
In this master thesis we want to study the newly discovered homotopy type theory, and its models wit...
The following full text is a preprint version which may differ from the publisher's version. Fo...
In this short note we give a glimpse of homotopy type theory, a new field of mathematics at the inte...
Abstract. We show that Voevodsky’s univalence axiom for intensional type theory is valid in categori...
The recent discovery of an interpretation of constructive type theory into abstract homotopy theory ...
This paper is a literature survey on homotopy type theory, analyzing the formalization of sets withi...
Homotopy type theory may be seen as an internal language for the ∞-category of weak ∞-groupoids. Mor...
This thesis consists of four papers on type theory and a formalisation of certain results from the t...
The recent discovery of an interpretation of constructive type the-ory into abstract homotopy theory...
W-types and their categorical analogue, initial algebras for polynomial endofunctors, are an importa...
This paper investigates Voevodsky's univalence axiom in intensional Martin-Löf type theory. In parti...
The problem of defining Semi-Simplicial Types (SSTs) in Homotopy Type Theory (HoTT) has been recogni...
The homotopical approach to intensional type theory views proofs of equality as paths. We explore wh...
We will give a detailed account of why the simplicial sets model of the univalence axiom due to Voev...
Abstract. Recent discoveries have been made connecting abstract homotopy theory and the field of typ...
In this master thesis we want to study the newly discovered homotopy type theory, and its models wit...
The following full text is a preprint version which may differ from the publisher's version. Fo...
In this short note we give a glimpse of homotopy type theory, a new field of mathematics at the inte...
Abstract. We show that Voevodsky’s univalence axiom for intensional type theory is valid in categori...
The recent discovery of an interpretation of constructive type theory into abstract homotopy theory ...
This paper is a literature survey on homotopy type theory, analyzing the formalization of sets withi...
Homotopy type theory may be seen as an internal language for the ∞-category of weak ∞-groupoids. Mor...
This thesis consists of four papers on type theory and a formalisation of certain results from the t...
The recent discovery of an interpretation of constructive type the-ory into abstract homotopy theory...
W-types and their categorical analogue, initial algebras for polynomial endofunctors, are an importa...
This paper investigates Voevodsky's univalence axiom in intensional Martin-Löf type theory. In parti...
The problem of defining Semi-Simplicial Types (SSTs) in Homotopy Type Theory (HoTT) has been recogni...
The homotopical approach to intensional type theory views proofs of equality as paths. We explore wh...
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