Ideal streams

  • We introduce operators and laws of an algebra of formal languages, a subalgebra of which corresponds to the algebra of (multiary) relations. This algebra is then used to give a simplified semantics for finite and infinite streams, based on the ideal completion. We show how some essential operations on streams and notions concerning correctness are expressed and show the use of the underlying algebra in reasoning about streams. Moreover, we give a simple treatment of non-determinacy. The approach is illustrated with a formal description and correctness proof for the alternating bit protocol. This study is part of an attempt to single out a framework for program development at a very high level of discourse, close to informal reasoning but still with full formal precision.

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Author:Bernhard MöllerGND
Frontdoor URL
Parent Title (German):Alternative Konzepte für Sprachen und Rechner
Publisher:Christian-Albrechts-Universität Kiel
Place of publication:Kiel
Editor:F. Simon
Type:Part of a Book
Year of first Publication:1994
Release Date:2019/09/04
First Page:83
Last Page:86
Series:Bericht ; 9412
Institutes:Fakultät für Angewandte Informatik
Fakultät für Angewandte Informatik / Institut für Informatik
Fakultät für Angewandte Informatik / Institut für Informatik / Professur für Programmiermethodik und Multimediale Informationssysteme