Luccio F., Pinotti M. C. Minimal synthesis of multivalued functions with new operators. Internal note IEI-B4-55, 1989. |

Abstract (English) |
The operators π and σ for multivalued logic are examined. While π has been original1y proposed the literature, in connection with fuzzy logic, a is introduced here. Simple implementations of these operators in the form of I∆2 L circuits are also proposed, with examples for four-valued logic. A simple algebraic treatment leads to the definition of a minimal form for any given function, that is, a form which includes the minimum number of operators. A procedure to derive a minimal form is also outlined, based on concepts which are extensions of the ones of binary logic. The minimization process leads to simple circuits for arbitrary functions. | |

Subject | Logic circuits Multiple-valued logic Four-valued operators Minimal forms I∆2 L circuits |

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