English

On coalgebra based on classes

Logic in Computer Science 2007-05-23 v1

Abstract

Every endofunctor of the category of classes is proved to be set-based in the sense of Aczel and Mendler, therefore, it has a final coalgebra. Other basic properties of these endofunctors are proved, e.g. the existence of a free completely iterative theory.

Keywords

Cite

@article{arxiv.cs/0306118,
  title  = {On coalgebra based on classes},
  author = {J. Adamek and S. Milius and J. Velebil},
  journal= {arXiv preprint arXiv:cs/0306118},
  year   = {2007}
}