A Generalized If-Then-Else Operator for the Representation of Multi-Output Functions. (13th March 2013)

• Record Type: Journal Article
• Authors: Levin, Ilya; Keren, Osnat
• Other Names: Sarler Bozidar Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2013(2013)
• Publication Date: 2013-03-13
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2013/401616
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : The paper deals with fundamentals of systems of Boolean functions called multi-output functions (MOFs). A new approach to representing MOFs is introduced based on a Generalized If-Then-Else (GITE) function. It is shown that known operations on MOFs may be expressed by a GITE function. The GITE forms the algebra of MOFs. We use the properties of this algebra to solve an MOF-decomposition problem. The solution provides a compact representation of MOFs.