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

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  • Ilya Levin
  • Osnat Keren

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.

Suggested Citation

  • Ilya Levin & Osnat Keren, 2013. "A Generalized If-Then-Else Operator for the Representation of Multi-Output Functions," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-13, March.
    • Handle: RePEc:hin:jnlmpe:401616
    DOI: 10.1155/2013/401616
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