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Разрешимость проблемы эквивалентных преобразований в классе примитивных схем программ

Разрешимость проблемы эквивалентных преобразований в классе примитивных схем программ

Abstract

The article belongs to the theory of program schemes, which are objects designed for the analysis of formalized programs. The structure of such schemes is represented as graphs. Programs schemes with procedures are considered. A subclass of program schemes, called primitive, is defined. A methodology for the construction of full systems of equivalent transformations (E.T.) is given. This methodology is then successfully applied to construct a full system of E.T. in the primitive subclass of balanced gateway program models with left cancellation. The construction is based on the known system of E.T. for similar program models without procedures. An auxiliary type of schemes, called multiexit schemes, is used. Further research topics are given in the conclusion.

В статье рассматриваются алгебраические модели программ с процедурами. Для специфического класса моделей, связанного с изученным классом моделей программ без процедур, строится полная система эквивалентных преобразований, позволяющая проводить структурный анализ формализованных программ.

Keywords

АЛГЕБРАИЧЕСКИЕ МОДЕЛИ ПРОГРАММ С ПРОЦЕДУРАМИ, СИСТЕМА ЭКВИВАЛЕНТНЫХ ПРЕОБРАЗОВАНИЙ, УРАВНОВЕШЕННАЯ МОДЕЛЬ ПРОГРАММ С ЛЕВЫМ СОКРАЩЕНИЕМ

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
gold