License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.CALCO.2023.24
URN: urn:nbn:de:0030-drops-188213
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2023/18821/
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Goncharov, Sergey ; Milius, Stefan ; Schröder, Lutz ; Tsampas, Stelios ; Urbat, Henning

Higher-Order Mathematical Operational Semantics (Early Ideas)

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Abstract

We present a higher-order extension of Turi and Plotkin’s abstract GSOS framework that retains the key feature of the latter: for every language whose operational rules are represented by a higher-order GSOS law, strong bisimilarity on the canonical operational model is a congruence with respect to the operations of the language. We further extend this result to weak (bi-)similarity, for which a categorical account of Howe’s method is developed. It encompasses, for instance, Abramsky’s classical compositionality theorem for applicative similarity in the untyped λ-calculus. In addition, we give first steps of a theory of logical relations at the level of higher-order abstract GSOS.

BibTeX - Entry

@InProceedings{goncharov_et_al:LIPIcs.CALCO.2023.24,
  author =	{Goncharov, Sergey and Milius, Stefan and Schr\"{o}der, Lutz and Tsampas, Stelios and Urbat, Henning},
  title =	{{Higher-Order Mathematical Operational Semantics}},
  booktitle =	{10th Conference on Algebra and Coalgebra in Computer Science (CALCO 2023)},
  pages =	{24:1--24:3},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-287-7},
  ISSN =	{1868-8969},
  year =	{2023},
  volume =	{270},
  editor =	{Baldan, Paolo and de Paiva, Valeria},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2023/18821},
  URN =		{urn:nbn:de:0030-drops-188213},
  doi =		{10.4230/LIPIcs.CALCO.2023.24},
  annote =	{Keywords: Abstract GSOS, lambda-calculus, applicative bisimilarity, bialgebra}
}

Keywords: Abstract GSOS, lambda-calculus, applicative bisimilarity, bialgebra
Collection: 10th Conference on Algebra and Coalgebra in Computer Science (CALCO 2023)
Issue Date: 2023
Date of publication: 02.09.2023

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