Object-oriented dataas prefix rewriting systems
Vladikavkazskij matematičeskij žurnal, Tome 17 (2015) no. 3, pp. 23-35
Voir la notice de l'article provenant de la source Math-Net.Ru
A deterministic longest-prefix rewriting system is a rewriting system such that there are no rewriting rules $X\to Y$, $X\to Z$ with $Y\ne Z$, 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 $Y$?
@article{VMJ_2015_17_3_a2,
author = {A. E. Gutman},
title = {Object-oriented dataas prefix rewriting systems},
journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
pages = {23--35},
publisher = {mathdoc},
volume = {17},
number = {3},
year = {2015},
language = {en},
url = {http://geodesic.mathdoc.fr/item/VMJ_2015_17_3_a2/}
}
A. E. Gutman. Object-oriented dataas prefix rewriting systems. Vladikavkazskij matematičeskij žurnal, Tome 17 (2015) no. 3, pp. 23-35. http://geodesic.mathdoc.fr/item/VMJ_2015_17_3_a2/