Synthesis of continuous-valued logic functions defined in tabular form
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The choice table provides one of the techniques for the representation of functions in continuous-valued logic . The need to synthesize functions from choice tables arise in the design of hybrid  and analog  computers, and also in other applications of continuous-valued logic that are surveyed in . The structure of the original table is determined by the external specification of the device or unit being designed.
Algorithms are available for the synthesis of continuous-valued logic functions from choice tables of a special form, for instance, from ordered choice tables [ It is noted in [ that a general algorithm to synthesize a continuous-valued logic function from an arbitrary choice table is still unknown.
In the present article, we derive a criterion that decides whether a given choice table defmes some continuous-valued logic function and construct a simple algorithm to synthesize the function from the table.
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