Multiple-valued switching theory

This book aims to present, in essentially self-contained form, all relevant techniques of multiple-valued analysis. The opening chapter sketches the algebraic background to the subject, defining rings, fields and finite lattices, and explaining the book's notation for functions and for the representation of numbers. Later chapters demonstrate how Boolean algebras may be generalised to befit them for multiple-valued spaces, though only for those whose size is a multiple of 2, and how Post algebras fulfil the conditions for spaces of other cardinality. An alternative approach is discusses, which employs difference methods on a finite field. A chapter on functional decomposition explores how large switching functions can be derived from several subfunctions, and the entire range of techniques built up through the book is applied in the final chapter to a number of case studies.