Towards "Dynamic Domains": Totally Continuous Cocomplete Q-categories

@article{Stubbe2006TowardsD,
  title={Towards "Dynamic Domains": Totally Continuous Cocomplete Q-categories},
  author={Isar Stubbe},
  journal={Electr. Notes Theor. Comput. Sci.},
  year={2006},
  volume={155},
  pages={617-634}
}
It is common practice in both theoretical computer science and theoretical physics to describe the (static) logic of a system by means of a complete lattice. When formalizing the dynamics of such a system, the updates of that system organize themselves quite naturally in a quantale, or more generally, a quantaloid. In fact, we are lead to consider cocomplete quantaloid-enriched categories as fundamental mathematical structure for a dynamic logic common to both computer science and physics. Here… CONTINUE READING

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