English

Universal Algebra in UniMath

Logic in Computer Science 2024-12-11 v1

Abstract

We present an ongoing effort to implement Universal Algebra in the UniMath system. Our aim is to develop a general framework for formalizing and studying Universal Algebra in a proof assistant. By constituting a formal system for isolating the invariants of the theory we are interested in -- that is, general algebraic structures modulo isomorphism -- Univalent Mathematics seems to provide a suitable environment to carry on our endeavour.

Keywords

Cite

@article{arxiv.2007.04840,
  title  = {Universal Algebra in UniMath},
  author = {Gianluca Amato and Marco Maggesi and Maurizio Parton and Cosimo Perini Brogi},
  journal= {arXiv preprint arXiv:2007.04840},
  year   = {2024}
}

Comments

Accepted at the HoTT/UF 2020 workshop

R2 v1 2026-06-23T16:59:12.542Z