DROPS

Document

DOI: 10.4230/LIPIcs.CSL.2011.496

A Category Theoretic View of Nondeterministic Recursive Program Schemes

Authors: Daniel Schwencke

Published in: LIPIcs, Volume 12, Computer Science Logic (CSL'11) - 25th International Workshop/20th Annual Conference of the EACSL (2011)

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.

Cite as

Daniel Schwencke. A Category Theoretic View of Nondeterministic Recursive Program Schemes. In Computer Science Logic (CSL'11) - 25th International Workshop/20th Annual Conference of the EACSL. Leibniz International Proceedings in Informatics (LIPIcs), Volume 12, pp. 496-511, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2011)

Copy BibTex To Clipboard

@InProceedings{schwencke:LIPIcs.CSL.2011.496,
  author =	{Schwencke, Daniel},
  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 =	{Bezem, Marc},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2011.496},
  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}
}

Search Results

Documents authored by Schwencke, Daniel

A Category Theoretic View of Nondeterministic Recursive Program Schemes

Abstract

Cite as

Thanks for your feedback!

Could not send message