Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH scholarly article en Dahlqvist, Fredrik; Schmid, Todd https://www.dagstuhl.de/lipics License: Creative Commons Attribution 4.0 license (CC BY 4.0)
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URN: urn:nbn:de:0030-drops-153686
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How to Write a Coequation ((Co)algebraic pearls)

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Abstract

There is a large amount of literature on the topic of covarieties, coequations and coequational specifications, dating back to the early seventies. Nevertheless, coequations have not (yet) emerged as an everyday practical specification formalism for computer scientists. In this review paper, we argue that this is partly due to the multitude of syntaxes for writing down coequations, which seems to have led to some confusion about what coequations are and what they are for. By surveying the literature, we identify four types of syntaxes: coequations-as-corelations, coequations-as-predicates, coequations-as-equations, and coequations-as-modal-formulas. We present each of these in a tutorial fashion, relate them to each other, and discuss their respective uses.

BibTeX - Entry

@InProceedings{dahlqvist_et_al:LIPIcs.CALCO.2021.13,
  author =	{Dahlqvist, Fredrik and Schmid, Todd},
  title =	{{How to Write a Coequation}},
  booktitle =	{9th Conference on Algebra and Coalgebra in Computer Science (CALCO 2021)},
  pages =	{13:1--13:25},
  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/opus/volltexte/2021/15368},
  URN =		{urn:nbn:de:0030-drops-153686},
  doi =		{10.4230/LIPIcs.CALCO.2021.13},
  annote =	{Keywords: Coalgebra, coequation, covariety}
}

Keywords: Coalgebra, coequation, covariety
Seminar: 9th Conference on Algebra and Coalgebra in Computer Science (CALCO 2021)
Issue date: 2021
Date of publication: 08.11.2021


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