REAL

Conjunctively polynomial-like Boolean functions

Gonda, János (2007) Conjunctively polynomial-like Boolean functions. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 23 (2). pp. 89-103. ISSN 0866-0174

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Abstract

In this article we apply the notion of the modified conjunctive normal form of a Boolean function which is equal to the canonical conjunctive normal form of the complement of the dual of the same Boolean function. In the article a linear algebraic transform is given between the modified conjunctive normal form and the Zhegalkin polynomial of a Boolean function and then the notion of the conjunctively polynomial-like Boolean functions as the functions having the same series of the coefficients in their modified conjunctive normal forms and in their Zhegalkin polynomials is introduced.

Item Type: Article
Uncontrolled Keywords: Boolean function, canonical conjunctive normal form, Zhegalkin polynomial, polynomial-like Boolean function
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 01 Feb 2024 07:38
Last Modified: 01 Feb 2024 07:38
URI: http://real.mtak.hu/id/eprint/186927

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