Universal Algebra in UniMath

Gianluca Amato, Marco Maggesi, Maurizio Parton, Cosimo Perini Brogi

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.