Agda

Linear maps (module homomorphisms) in Agda

Statistics and probability in Agda

Eudoxus Reals in Agda

Finite types in Agda

Misc theorems on relations

Learn abstract math with agda 🚀

Formalization of graphs in Agda with focus on graphs for studying causality

Nearness, Proximity, Continuity and Limits in Agda

Experiments in Binary numbers in Agda

A theory of time based on Allen's temporal logic, formalized in Agda

In this work we will define a superset of integers (the complete integers), which contains the dual of integers along parity (e.g. the odd zero, the even one, ...). Then we will see how they form a ring and how they can be used as exponents for real numbers powers, in order to write functions which have a discontinuity in zero (the function itself or one of its derivates), as for example the absolute value and the sign function.

Documentation: https://ualib.gitlab.io . New version: https://github.com/ualib/agda-algebras

Notes based on Martin Escardo's 2019 MGS course on HoTT/UF in Agda