Area-efficient implication circuits for very dense lukasiewicz logic arrays

摘要

A one-diode circuit for negated implication (˜→) is derived from a 12-transistor Lukasiewicz implication circuit (→). The derivation also yields an adjustable three-transistor implication circuit with maximum error less than 1% of full scale. Two Lukasiewicz logic arrays (.English Pound. LAs) are proposed that use area-efficient implementations of the one-diode and three-transistor implication circuits. The very dense diode-tower . English Pound.LA contains 36,000 implications in an area that previously held 92 implications; the three- transistor .English Pound.LA contains 1,990 implications. Both .English Pound.LAs double the number of inputs per pin on the IC package. Very dense .English Pound.LAs make .English Pound.LA- based fuzzy controllers and neural networks practical. As an example, an . English Pound.LA retina that detects edges in 15 nanoseconds is described.