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.
| Author: | Bernhard MöllerGND |
|---|---|
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/59233 |
| 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 |
| Language: | English |
| 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 |
