Development of parallel programs on shared data-structures -- Revised version

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Autore principale:	Stølen, Ketil
Natura:	Preprint
Pubblicazione:	2024
Soggetti:	Formal Languages and Automata Theory
Accesso online:	Acceder al recurso
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_version_	1866911853280493568
author	Stølen, Ketil
author_facet	Stølen, Ketil
contents	A syntax-directed formal system for the development of totally correct programs with respect to an unfair shared-state parallel while-language is proposed. The system can be understood as a compositional reformulation of the Owicki/Gries method for verification of parallel programs. Auxiliary variables are used both as a specification tool to eliminate undesirable implementations, and as a verification tool to make it possible to prove that an already finished program satisfies a particular specification. Auxiliary variables may be of any sort, and it is up to the user to define the auxiliary structure he prefers. Moreover, the auxiliary structure is only a part of the logic. This means that auxiliary variables do not have to be implemented as if they were ordinary programming variables. The system is proved sound and relatively complete with respect to an operational semantics and employed to develop three nontrivial algorithms: the Dining-Philosophers, the Bubble-Lattice-Sort and the Set-Partition algorithms. Finally, a related method for the development of (possibly nonterminating) programs with respect to four properties is described. This approach is then used to develop Dekker's algorithm.
format	Preprint
id	arxiv_https___arxiv_org_abs_2404_16624
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	Development of parallel programs on shared data-structures -- Revised version Stølen, Ketil Formal Languages and Automata Theory A syntax-directed formal system for the development of totally correct programs with respect to an unfair shared-state parallel while-language is proposed. The system can be understood as a compositional reformulation of the Owicki/Gries method for verification of parallel programs. Auxiliary variables are used both as a specification tool to eliminate undesirable implementations, and as a verification tool to make it possible to prove that an already finished program satisfies a particular specification. Auxiliary variables may be of any sort, and it is up to the user to define the auxiliary structure he prefers. Moreover, the auxiliary structure is only a part of the logic. This means that auxiliary variables do not have to be implemented as if they were ordinary programming variables. The system is proved sound and relatively complete with respect to an operational semantics and employed to develop three nontrivial algorithms: the Dining-Philosophers, the Bubble-Lattice-Sort and the Set-Partition algorithms. Finally, a related method for the development of (possibly nonterminating) programs with respect to four properties is described. This approach is then used to develop Dekker's algorithm.
title	Development of parallel programs on shared data-structures -- Revised version
topic	Formal Languages and Automata Theory
url	https://arxiv.org/abs/2404.16624

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