Category theory applied to functional programming

This is a formalization of dialectica spaces.

Formulation of category theory in Agda

Categories parametrized by morphism equality, in Agda

A categorical semantics library in Agda.

Category theory formalized in cubical agda

A formalization of category theory in cubical Agda

smash product in Agda

Espèces généralisées de structures sur les groupoïdes

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

Formalization of topics in mathematics and computer science

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

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

WIP: Reedy fibrant diagrams in models of type theory

2022 AMS MRC on Applied Category Theory.

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

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

Categorical Abstract Machine: Theory, Formalisation, Extensions

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

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