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Stream Processors and Comodels

Authors: Richard Garner

Published in: LIPIcs, Volume 211, 9th Conference on Algebra and Coalgebra in Computer Science (CALCO 2021)


Abstract
In 2009, Ghani, Hancock and Pattinson gave a coalgebraic characterisation of stream processors A^ℕ → B^ℕ drawing on ideas of Brouwerian constructivism. Their stream processors have an intensional character; in this paper, we give a corresponding coalgebraic characterisation of extensional stream processors, i.e., the set of continuous functions A^ℕ → B^ℕ. Our account sites both our result and that of op. cit. within the apparatus of comodels for algebraic effects originating with Power-Shkaravska.

Cite as

Richard Garner. Stream Processors and Comodels. In 9th Conference on Algebra and Coalgebra in Computer Science (CALCO 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 211, pp. 15:1-15:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)


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@InProceedings{garner:LIPIcs.CALCO.2021.15,
  author =	{Garner, Richard},
  title =	{{Stream Processors and Comodels}},
  booktitle =	{9th Conference on Algebra and Coalgebra in Computer Science (CALCO 2021)},
  pages =	{15:1--15:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-212-9},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{211},
  editor =	{Gadducci, Fabio and Silva, Alexandra},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CALCO.2021.15},
  URN =		{urn:nbn:de:0030-drops-153700},
  doi =		{10.4230/LIPIcs.CALCO.2021.15},
  annote =	{Keywords: Comodels, residual comodels, bimodels, streams, stream processors}
}