License: Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported license (CC BY-NC-ND 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.CSL.2011.496
URN: urn:nbn:de:0030-drops-32529
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2011/3252/
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Schwencke, Daniel

A Category Theoretic View of Nondeterministic Recursive Program Schemes

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Abstract

Deterministic recursive program schemes (RPS's) have a clear category theoretic semantics presented by Ghani et al. and by Milius and Moss. Here we extend it to nondeterministic RPS's. We provide a category theoretic notion of guardedness and of solutions. Our main result is a description of the canonical greatest solution for every guarded nondeterministic RPS, thereby giving a category theoretic semantics for nondeterministic RPS's. We show how our notions and results are connected to classical work.

BibTeX - Entry

@InProceedings{schwencke:LIPIcs:2011:3252,
  author =	{Daniel Schwencke},
  title =	{{A Category Theoretic View of Nondeterministic Recursive Program Schemes}},
  booktitle =	{Computer Science Logic (CSL'11) - 25th International Workshop/20th Annual Conference of the EACSL},
  pages =	{496--511},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-32-3},
  ISSN =	{1868-8969},
  year =	{2011},
  volume =	{12},
  editor =	{Marc Bezem},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2011/3252},
  URN =		{urn:nbn:de:0030-drops-32529},
  doi =		{10.4230/LIPIcs.CSL.2011.496},
  annote =	{Keywords: recursive program scheme, nondeterminism, powerset monad, distributive law, final coalgebra}
}

Keywords: recursive program scheme, nondeterminism, powerset monad, distributive law, final coalgebra
Collection: Computer Science Logic (CSL'11) - 25th International Workshop/20th Annual Conference of the EACSL
Issue Date: 2011
Date of publication: 31.08.2011

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