US005770966A [ii] Patent Number: 5,770,966 [45] Date of Patent: Jun. 23, 1998
[54] AREA-EFFICIENT IMPLICATION CIRCUITS FOR VERY DENSE LUKASIEWICZ LOGIC ARRAYS
[75] Inventor: Jonathan W. Mills, Bloomington, Ind.
[73] Assignee: Indiana University Foundation,
Bloomington, Ind.
[21] Appl. No.: 783,196
[22] Filed: Jan. 15, 1997
Related U.S. Application Data
[63] Continuation of Ser. No. 887,711, May 22, 1992, abandoned.
[51] Int. CI. H03K 3/02
[52] U.S. CI 327/355; 327/538; 327/543
[58] Field of Search 326/35, 36, 119,
326/127, 133; 327/215, 355, 350, 538, 543, 560, 568
[56] References Cited
U.S. PATENT DOCUMENTS
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Mills et al., "Technical Report No. 296—Lukasiewicz Logic Arrays", Mar. 1990, pp. 1-7.
Mills et al., "Technical Report No. 312—CMOS VLSI Lukasiewicz Logic Arrays", Jul. 1990, pp. 1-12. Grigolia, R., "On The Algebras Corresponding to the n-Valued Lukasiewicz-Tarski Logical Systems", Proceedings of the 1975 Intenational Symposium On Multiple-Valued Logic, Indiana University, Bloomington, Indiana, May 13-16, 1975, pp. 234-239.
Katz, M., "Two Systems 01 Multi-Valued Logic for Science", Department ol Mathematics and Statistrics, Queen's University, Kingston, Canada, pp. 175-182. Yamakawa, T, Miki, T. and Ueno, F, "Basic Fuzzy Logic Circuit Formed by Using p-MOS Current Mirror Circuits", pp. 1-9.
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Primary Examiner—-Terry Cunningham
Attorney, Agent, or Firm—-Woodard, Emhardt, Naughton,
Moriarty & McNett
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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% ol lull scale. Two Lukasiewicz logic arrays (£LAs) are proposed that use area-efficient implementations ol the one-diode and three-transistor implication circuits. The very dense diodetower £LA contains 36,000 implications in an area that previously held 92 implications; the three-transistor £LA contains 1,990 implications. Both £LAs double the number ol inputs per pin on the IC package. Very dense £LAs make £LA-based luzzy controllers and neural networks practical. As an example, an £LA retina that detects edges in 15 nanoseconds is described.
Infinite-precision ideal analog
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_Continuous-valued real analog
Fig.l
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