Function Algebras on Finite Sets A Basic Coruse on Many-valued Logic and Clone Theory

Functions, which are defined on finite sets, occur in almost all fields of mathematics. For more than 80 years algebras whose universes are such fuctions (so-called fuction algebras), have been intensivly studied.This book give a broad introduction to the theory of function algebras and leads to the cutting edge of research. To familiarize the reader from the very beginning on with the algebraic side of function algebras the more general concepts of the Universal Algebra is given in the first part of the book. The second part on fuction algebras covers the following topics: Galois-connection between function algebras and relation algebras, completeness criterions, clone theory.This book is an insdispensible source on fuction algebras for graduate students and researchers in mathematical logic and theoretical computer science.Lau, Dietlinde is the author of 'Function Algebras on Finite Sets A Basic Coruse on Many-valued Logic and Clone Theory' with ISBN 9783540360223 and ISBN 3540360220.