Simulations in coalgebra

@article{Hughes2003SimulationsIC,
  title={Simulations in coalgebra},
  author={Jesse Hughes and Bart Jacobs},
  journal={Theor. Comput. Sci.},
  year={2003},
  volume={327},
  pages={71-108}
}
A new approach to simulations is proposed within the theory of coalgebras by taking a notion of order on a functor as primitive. Such an order forms a basic building block for a “lax relation lifting”, or “relator” as used by other authors. Simulations appear as coalgebras of this lifted functor, and similarity as greatest simulation. Two-way similarity is then similarity in both directions. In general, it is different from bisimilarity (in the usual coalgebraic sense), but a sufficient… CONTINUE READING
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