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Includes entries for maps and atlases.
This is a collection of invited papers from the 1975 International Sym posium on Multiple-valued Logic. Also included is an extensive bib liography of works in the field of multiple-valued logic prior to 1975 - this supplements and extends an earlier bibliography of works prior to 1965, by Nicholas Rescher in his book Many-Valued Logic, McGraw-Hill, 1969. There are a number of possible reasons for interest in the present volume. First, the range of various uses covered in this collection of papers may be taken as indicative of a breadth which occurs in the field of multiple-valued logic as a whole - the papers here can do no more than cover a small sample: question-answering systems, analysis of computer hazards, algebraic structures relating to multiple-valued logic, algebra of computer programs, fuzzy sets. Second, a large part of the interest in such uses and applications has occurred in the last twenty, even ten years. It would be too much to expect this to be reflected in Rescher's 1969 book. Third, in the 1970's a series of annual symposia have been held on multiple-valued logic, which have brought much of this into a sharp focus. * The 1971 and 1972 symposia were held at the SUNY at Buffalo, the 1973 symposium at the Uni versity of Toronto, and the 1974 symposium at West Virginia Uni versity. Papers from these symposia are included in the bibliography which may be found in an appendix of this book.
;Contents: Multilevel balanced code with redundant digits; Extension of the Boolean difference concept to multivalued logic systems; A generalized equivalence relation for Post algebras; Multiple-valued signal processing with limiting; Some applications of many-valued threshold logic in digital arithmetic; Non-linear ternary threshold logic; The algebraic simplification of a ternary full adder; Design of A/D converters for binary coded ternary systems; Multiple-valued universal logic modules; Toward a characterization of logically complete switching functions in K-valued logic; A proposed multi-valued extension to ALGOL 68; Multivalued logic techniques for optical computers; The generation of Gaussian-distributed pseudorandom noise sequences from multiple-valued logic; Ternary logic in arithmetic units; Some algebraic properties and minimization techniques for multi-valued lattice logics; The combination of a soft and multi-valued algebra; The minimization of higher-order Boolean functions; Multiple-valued combinational function synthesis using a single gate type.