A one-diode circuit for negated implication (.about..fwdarw.) is derived from a 12-transistor Lukasiewicz implication circuit (.fwdarw.). The derivation also yields an adjustable three-transistor implication circuit with maximum error less than 1% of full scale. Two Lukasiewicz logic arrays...http://www.google.de/patents/US5770966?utm_source=gb-gplus-sharePatent US5770966 - Area-efficient implication circuits for very dense lukasiewicz logic arrays 
