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Gutman A.E.
Object-oriented data as prefix rewriting systems //
Vladikavk. Math. J. 2015. V. 17, issue 3. P. 23–35.

A deterministic longest-prefix rewriting system is a rewriting system such that there are no rewriting rules X → Y, X → Z with Y ≠ Z, and only longest prefixes of words are subject to rewriting. Given such a system, analogs are defined and examined of some concepts related to object-oriented data systems: inheritance of classes and objects, instances of classes, class and instance attributes, conceptual dependence and consistency, conceptual scheme, types and subtypes, etc. A special attention is paid to the effective verification of various properties of the rewriting systems under consideration. In particular, algorithms are presented for answering the following questions: Are all words finitely rewritable? Do there exist recurrent words? Is the system conceptually consistent? Given two words X and Y, does X conceptually depend on Y? Does the type of X coincide with that of Y? Is the type of X a subtype of that of Y?

Keywords:prefix rewriting, term rewriting, object-oriented data system, information system, consistency verification, ontology of a data model.
Type Article
Authors Gutman Alexander Efimovich
Title Object-oriented data as prefix rewriting systems
Journal Vladikavkaz Mathematical Journal
Year 2015
Volume 17
Issue 3
Pages 23–35
DOI 10.23671/VNC.2017.3.7260
Language English
© 2013.10.17
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Project  Rewriting systems 
Representation of object-oriented data by means of prefix rewriting systems, and development of the theory
 
 
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July 19, 2018