Discrete Lawvere theories and computational effects

@article{Hyland2006DiscreteLT,
  title={Discrete Lawvere theories and computational effects},
  author={Martin Hyland and John Power},
  journal={Theor. Comput. Sci.},
  year={2006},
  volume={366},
  pages={144-162}
}
Countable Lawvere theories model computational effects such as exceptions, side-effects, interactive input/output, nondeterminism and probabilistic nondeterminism. The category of countable Lawvere theories has sums, tensors, and distributive tensors, modelling natural combinations of such effects. It is also closed under taking images. Enrichment in a category such as Cpo allows one to extend this modelling of computational effects to account for partiality and recursion. Sum and tensor extend… CONTINUE READING
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