On Transitive Closures of Two-dimensional Strongly Positive Arithmetical Sets

Seda N. Manukian

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Title: On Transitive Closures of Two-dimensional Strongly Positive Arithmetical Sets

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ISSN:

0131-4645

Additional Information:

Մանուկյան Ս., Манукян С.

Other title:

Խիստ պոզիտիվ երկչափ թվաբանական բազմությունների տրանզիտիվ փակումների մասին; О транзитивных замыканиях строго позитивных арифметических множеств размерности

Coverage:

67-76

Abstract:

The notions of positive and strongly positive arithmetical set are considered in ([1]-[3] ). It is noted in [3] that the transitive closure of any 2-dimensional strongly positive set is primitive recursive. In this article a more strong statement is proved: the transitive closure of any 2-dimensional strongly positive set is defined by an arithmetical formula in the signature (0,=, < ,S), where S(x)=x+1.

Publisher:

Изд-во НАН РА

Date created:

2016-03-03

Format:

pdf

Identifier:

oai:arar.sci.am:258871

Location of original object:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան

Subject and keywords:

Elementary mathematics; Arithmetic Mathematics Algorithm Positive Strongly positive Arithmetical set Dimension Signature. 1. Introduction

Object collections:

Digital Library > Articles

Last modified:

Dec 8, 2023

In our library since:

Jul 24, 2020

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710

All available object's versions:

https://arar.sci.am/publication/281998

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ՀՀ ԳԱԱ Շարունակական հրատարակություններ

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On Transitive Closures of Two-dimensional Strongly Positive Arithmetical Sets	Dec 8, 2023

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Title: On Transitive Closures of Two-dimensional Strongly Positive Arithmetical Sets

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