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Benedikt Ahrens's Projects

birmingham-theory icon birmingham-theory

The web page for the Birmingham theoretical computer science research group

book icon book

A textbook on informal homotopy type theory

foundations icon foundations

Development of the univalent foundations of mathematics in Coq

hlevel_n_is_of_hlevel_sn icon hlevel_n_is_of_hlevel_sn

We give a proof in Univalent Foundations that the Sigma type of types in a universe of hlevel n is itself of hlevel n+1.

ktheory icon ktheory

formalization of theorems of higher algebraic K-theory

largecatmodules icon largecatmodules

Large category of modules over monads on top of UniMaths and Display category

mgs-domain-theory icon mgs-domain-theory

Lecture notes and exercises for the introductory course on domain theory and denotational semantics at the Midlands Graduate School (MGS) 2023

milewski-ctfp-pdf icon milewski-ctfp-pdf

Bartosz Milewski's 'Category Theory for Programmers' unofficial PDF and LaTeX source

monads icon monads

Coq code accompanying several articles on semantics of functional programming languages

omega_categories icon omega_categories

Formalisation of strict omega categories and the homotopy hypothesis in type theory, using coinduction

theory icon theory

Papers on aspects of Generalised Algebraic Theories, Contextual Categories and Mathematical Theory Of Data

unimath icon unimath

A unified approach to formalization of mathematical knowledge based on Univalent Foundations.

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