A Generalized If-Then-Else Operator for the Representation of Multi-Output Functions

Ilya Levin and Osnat Keren

Mathematical Problems in Engineering, 2013, vol. 2013, 1-13

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:401616

DOI: 10.1155/2013/401616

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