NDLI: Generation of Images of Several Literals

Content Provider	Springer Nature Link
Author	Voronenko, A. A.
Copyright Year	2016
Abstract	In this article we describe the construction of discrete functions such that some of their values specify (generate) arbitrary pairs of literals under two mutually exclusive assumptions: the function is equal to one of the variables or to its negation. We prove the existence of such functions with at least seven arguments and show that for sufficiently large n this function can be defined on O(n log2 n) tuples. We also consider the problem of simultaneous generation of k literals. We show that with k < n − log2 n+log2(log3 4−1), functions generating arbitrary k literals exist, and if (n−log2 n−k) → ∞ as n → ∞ , then almost all functions generate arbitrary k literals.
Starting Page	439
Ending Page	443
Page Count	5
File Format	PDF
ISSN	1046283X
Journal	Computational Mathematics and Modeling
Volume Number	27
Issue Number	4
e-ISSN	1573837X
Language	English
Publisher	Springer US
Publisher Date	2016-08-06
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Boolean function generation universal functions Mathematical Modeling and Industrial Mathematics Computational Mathematics and Numerical Analysis Applications of Mathematics Optimization
Content Type	Text
Resource Type	Article
Subject	Computational Mathematics

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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Generation of Images of Several Literals