Hyperidentities and Clones

Integrating into a coherent framework and notation many results scattered throughout the literature, this title contains applications of hyperidentities to the functional completeness problem in multiple-valued logic. General theory is also extended to partial algebras and exercises and open problems with suggestions for future work are included.
Theories and results on hyperidentities have been published in various areas of the literature over the last 18 years. Hyperidentities and Clones integrates these into a coherent framework for the first time. The author also includes some applications of hyperidentities to the functional completeness problem in multiple-valued logic and extends the general theory to partial algebras. The last chapter contains exercises and open problems with suggestions for future work in this area of research. Graduate students and mathematical researchers will find Hyperidentities and Clones a thought-provoking and illuminating text that offers a unique opportunity to study the topic in one source.

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