Covarieties of Coalgebras: Comonads and Coequations

@inproceedings{Clouston2005CovarietiesOC,
  title={Covarieties of Coalgebras: Comonads and Coequations},
  author={Ranald Clouston and Robert Goldblatt},
  booktitle={ICTAC},
  year={2005}
}
Coalgebras provide effective models of data structures and state-transition systems. A virtual covariety is a class of coalgebras closed under coproducts, images of coalgebraic morphisms, and subcoalgebras defined by split equalisers. A covariety has the stronger property of closure under all subcoalgebras, and is behavioural if it is closed under domains of morphisms, or equivalently under images of bisimulations. There are many computationally interesting properties that define classes of… CONTINUE READING

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