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

الملخص EN

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.