Category theory applied to functional programming

2022 AMS MRC on Applied Category Theory.

Mirror of https://git8.cs.fau.de/software/initial-algebras-unchained

Formalization of topics in mathematics and computer science

Kitcat is an experimental Univalent mathematics library for proof theory, category theory, and computer science formalization in Agda

WIP: Reedy fibrant diagrams in models of type theory

This is a formalization of dialectica spaces.

Formulation of category theory in Agda

Homotopy Type Theory and categorical algebra experiments in the style of UniMath

smash product in Agda

Category theory formalized in cubical agda

Categorical semantics of counterpart-based quantified (linear) temporal logics in Agda using https://github.com/agda/agda-categories

Espèces généralisées de structures sur les groupoïdes

Agda formalization for the paper "Directed equality for (co)end calculus" and its extended version.

Categorical Abstract Machine: Theory, Formalisation, Extensions

Bicategories of automata, completeness of F-automata in monoidal categories, adjoints between (semi)bicategories; https://arxiv.org/pdf/2303.03867, https://arxiv.org/pdf/2303.03865, https://arxiv.org/abs/2305.00272

Formal proofs in mathematics/computer science/logic formalized in the Agda language. A hobby project I am working on in my free time.

A categorical semantics library in Agda.

A formalization of category theory in cubical Agda

Categories parametrized by morphism equality, in Agda