An Axiomatics for Categories of Transition Systems as Coalgebras

نویسندگان

  • Peter T. Johnstone
  • John Power
  • Toru Tsujishita
  • Hiroshi Watanabe
  • James Worrell
چکیده

We consider a nitely branching transition system as a coalgebra for an endofunctor on the category Set of small sets. A map in that category is a functional bisimulation. So, we study the structure of the category of nitely branching transition systems and functional bisimulations by proving general results about the category H-Coalg of H-coalgebras for an endofunctor H on Set. We give conditions under which H-Coalg is complete, cocomplete, symmetric monoidal closed, regular, and has a subobject classi er.

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تاریخ انتشار 1998