Two decades of multiple-valued logic-an invited tutorial

A brief summary of the tutorial is presented. The developments, major achievements, and disappointments of the past 20 years of multiple-valued logic are reviewed. The comprehensive bibliography is broken down by subject as well as listing proceedings and textbooks.<<ETX>>

[1]  Zvonko G. Vranesic Multi-valued circuits in fault detection of binary logic circuits☆ , 1976 .

[2]  Edward J. McCluskey,et al.  Multivalued Integrated Injection Logic , 1977, IEEE Transactions on Computers.

[3]  T. Higuchi,et al.  Image Processing Algorithms for a Multiple-Valued Array Processor, , 1983 .

[4]  Calvin K. Tang,et al.  Universal Logic Modules and Their Applications , 1970, IEEE Transactions on Computers.

[5]  R Arrathoon,et al.  A High Data Rate Integrated Optical Vector Matrix Multiplier , 1984, Photonics West - Lasers and Applications in Science and Engineering.

[6]  Douglas B. Armstrong,et al.  On Finding a Nearly Minimal Set of Fault Detection Tests for Combinational Logic Nets , 1966, IEEE Trans. Electron. Comput..

[7]  Gerald Quirchmayr,et al.  The Application of Multiple Valued Logic in Supporting Legal Decision Making , 1987 .

[8]  Norman M. Martin The Sheffer functions of 3-valued logic , 1954, Journal of Symbolic Logic.

[9]  A. Kandel,et al.  Fuzzy resource management analysis , 1986 .

[10]  Zvonko G. Vranesic,et al.  A Many-Valued Algebra for Switching Systems , 1970, IEEE Transactions on Computers.

[11]  H. T. Mouftah,et al.  Design of Ternary COS/MOS Memory and Sequential Circuits , 1977, IEEE Transactions on Computers.

[12]  James E. Smith,et al.  Fault secure multiple-valued logic networks , 1978, MVL '78.

[13]  James R. Armstrong,et al.  A simultaneous, radix four, I2L multiplier mechanized via repeated addition , 1978, MVL '78.

[14]  C. Y. Lee,et al.  Several-valued combinational switching circuits , 1956, Transactions of the American Institute of Electrical Engineers, Part I: Communication and Electronics.

[15]  Y. Ichioka,et al.  Optical parallel logic gates using a shadow-casting system for optical digital computing , 1984, Proceedings of the IEEE.

[16]  Stanley L. Hurst,et al.  Multiple-valued threshold logic: its status and its realization , 1986 .

[17]  T.T. Dao Threshold I/sup 2/L and its applications to binary symmetric functions and multivalued logic , 1977, IEEE Journal of Solid-State Circuits.

[18]  R Arrathoon,et al.  Optical threshold logic elements for digital computation. , 1984, Optics letters.

[19]  Abraham Kandel,et al.  Fuzzy Switching and Automata: Theory and Applications , 1979 .

[20]  Hans G. Kerkhoff,et al.  Multiple-Valued Logic Charge-Coupled Devices , 1981, IEEE Transactions on Computers.

[21]  Zvonko G. Vranesic,et al.  Ternary logic in parallel multipliers , 1972, Comput. J..

[22]  D L Webb,et al.  Generation of any N-Valued Logic by One Binary Operation. , 1935, Proceedings of the National Academy of Sciences of the United States of America.

[23]  W. T. Rhodes,et al.  Optical computing: the coming revolution in optical signal processing , 1983 .

[24]  José I. Acha,et al.  A note on the implementation of three-valued unary operators with C-MOS integrated circuits , 1979 .

[25]  James R. Armstrong,et al.  Representation of Multivalued Functions Using the Direct Cover Method , 1981, IEEE Transactions on Computers.

[26]  Daniel Etiemble,et al.  Multivalued I2L Circuits for TSC Checkers , 1980, IEEE Transactions on Computers.

[27]  C. R. Edwards I2L threshold circuits for binary–quaternary encoding and decoding , 1978 .

[28]  K. W. Current,et al.  A Quaternary Logic Encoder-Decoder Circuit Design Using CMOS, , 1983 .

[29]  P. W. Smith,et al.  On the physical limits of digital optical switching and logic elements , 1982, The Bell System Technical Journal.

[30]  Kenneth C. Smith Circuits for multiple valued logic—a tutorial and appreciation , 1976 .

[31]  J. Muzio,et al.  Multiple-valued switching theory , 1985 .

[32]  D.A. Rich,et al.  A four-state ROM using multilevel process technology , 1984, IEEE Journal of Solid-State Circuits.

[33]  Tsutomu Sasao,et al.  Multiple-Valued Decomposition of Generalized Boolean Functions and the Complexity of Programmable Logic Arrays , 1981, IEEE Transactions on Computers.

[34]  Peter S. Guilfoyle Systolic Acousto-Optic Binary Convolver , 1984 .

[35]  C. M. Verber,et al.  Integrated Optical Circuits For Numerical Computation , 1983, Other Conferences.

[36]  P. D. Picton,et al.  Realisation of multithreshold threshold-logic gates using charge-coupled devices , 1982 .

[37]  C. Moraga Complex spectral logic , 1978, MVL '78.

[38]  H. R. van Nauta Lemke,et al.  An autopilot for ships designed with fuzzy sets , 1977 .

[39]  Edward J. McCluskey Logic Design of Multivalued I2L Logic Circuits , 1979, IEEE Transactions on Computers.

[40]  Emil L. Post Introduction to a General Theory of Elementary Propositions , 1921 .

[41]  Atwell R. Turquette,et al.  On the Many-Valued Logics , 1941 .

[42]  V. H. Tokmen The evaluation of the spectrum of multi-level logic networks , 1979 .

[43]  D Psaltis,et al.  Optical implementation of the Hopfield model. , 1985, Applied optics.