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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: Multiple-valued variable-threshold threshold logic and its application to the realization of the set of boolean functions; Coordinate representation and structural invariants for many-valued switching functions; The smallest many-valued logic for treatment of complemented and uncomplemented error signals; Obtaining self-testing logic through the application of threshold logic and an A.C. logic code; Multi-threshold circuits in the design of multi-state storage elements; Hazard-free realizations of Boolean functions using post functions; A balanced ternary computer; An approach to multi-valued sequential logic; Geometrical approach to multivalued logic function synthesis; On the generation of all the one variable functions in M-valued logic; Applying multiple-valued algebra concepts to neural modeling; A ternary positional automatic control system; Decomposition of ternary switching functions; Incremental curve generation using multiple-valued logic; Conditional and post algebra expressions; An application of many-valued logic to fault detection; Approximate logic; Multi-valued asynchronous circuits.