License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.CONCUR.2018.22
URN: urn:nbn:de:0030-drops-95604
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2018/9560/
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Goncharov, Sergey ; Jakob, Julian ; Neves, Renato

A Semantics for Hybrid Iteration

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LIPIcs-CONCUR-2018-22.pdf (0.6 MB)

Abstract

The recently introduced notions of guarded traced (monoidal) category and guarded (pre-)iterative monad aim at unifying different instances of partial iteration whilst keeping in touch with the established theory of total iteration and preserving its merits. In this paper we use these notions and the corresponding stock of results to examine different types of iteration for hybrid computations. As a starting point we use an available notion of hybrid monad restricted to the category of sets, and modify it in order to obtain a suitable notion of guarded iteration with guardedness interpreted as progressiveness in time - we motivate this modification by our intention to capture Zeno behaviour in an arguably general and feasible way. We illustrate our results with a simple programming language for hybrid computations and interpret it over the developed semantic foundations.

BibTeX - Entry

@InProceedings{goncharov_et_al:LIPIcs:2018:9560,
  author =	{Sergey Goncharov and Julian Jakob and Renato Neves},
  title =	{{A Semantics for Hybrid Iteration}},
  booktitle =	{29th International Conference on Concurrency Theory  (CONCUR 2018)},
  pages =	{22:1--22:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-087-3},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{118},
  editor =	{Sven Schewe and Lijun Zhang},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2018/9560},
  URN =		{urn:nbn:de:0030-drops-95604},
  doi =		{10.4230/LIPIcs.CONCUR.2018.22},
  annote =	{Keywords: Elgot iteration, guarded iteration, hybrid monad, Zeno behaviour}
}

Keywords: Elgot iteration, guarded iteration, hybrid monad, Zeno behaviour
Collection: 29th International Conference on Concurrency Theory (CONCUR 2018)
Issue Date: 2018
Date of publication: 31.08.2018

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