E
Erik Palmgren
Researcher at Stockholm University
Publications - 86
Citations - 1356
Erik Palmgren is an academic researcher from Stockholm University. The author has contributed to research in topics: Type theory & Constructive. The author has an hindex of 19, co-authored 85 publications receiving 1237 citations. Previous affiliations of Erik Palmgren include Uppsala University & University of Florence.
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Journal Article
Intuitionistic Type Theory
Peter Dybjer,Erik Palmgren +1 more
TL;DR: The main idea is that mathematical concepts such as elements, sets and functions are explained in terms of concepts from programming such as data structures, data types and programs.
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Wellfounded trees in categories
Ieke Moerdijk,Erik Palmgren +1 more
TL;DR: A categorical formulation of the W-types of Martin-Lof is presented and it is shown that W- types are preserved under the construction of sheaves and Artin gluing.
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Type theories, toposes and constructive set theory: predicative aspects of AST
Ieke Moerdijk,Erik Palmgren +1 more
TL;DR: A predicative version of topos (stratified pseudotopos) based on the notion of small maps in algebraic set theory, developed by Joyal and one of the authors is introduced.
On Universes in Type Theory
TL;DR: The notion of a universe of types was introduced into constructive type theory by Martin-Lof (1975) and suggest and study some useful extensions as discussed by the authors. But this is not a complete discussion of the universe.
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Partial Horn logic and cartesian categories
Erik Palmgren,Steven Vickers +1 more
TL;DR: The simplicity of the quasi-equational form allows an easy predicative constructive proof of the free partial model theorem for cartesian theories: that if a theory morphism is given from one cartesian theory to another, then the forgetful (reduct) functor from one model category to the other has a left adjoint.