Handbook of Logic in Computer Science: Volume 1: Background: Mathematical Structures (Handbook of Logic in Computer Science, Vol 1)

Logic is now widely recognized to be one of the foundational disciplines of computing, and its applications reach almost every aspect of the subject, from software engineering and hardware to programming languages and artificial intelligence research. The Handbook of Logic in Computer Science is a six volume, internationally authored work which offers a comprehensive treatment of the application of the concepts of logic to theoretical computer science. Each volume is comprised of an average of five 100-page monographs and presents an in-depth overview of a major subject area. The first two volumes, available now, cover the background to the subject in terms of mathematical and computational structures. Future volumes will cover semantic structures, semantic modelling, theoretical methods in specification and verification, and logical methods in computer science. The result of five years of cooperative effort by some of the field's most eminent scholars, this series will undoubtedly be the standard reference work in logic and theoretical computer science for years to come. Part of a multi-volume work that has been designed to cover all major areas of the application of logic to theoretical computer science, this book explores valuation systems, recursion theory, universal algebra, basic category theory, topology and model theory A multi-volume work covering all major areas of application of logic to theoretical computer science. The authors are chosen on an international basis and are leaders in the fields covered. v. 1. Background, mathematical structure v. 2. Background, computational structure v. 3. Semantic structures v. 4. Semantic modelling v. 5. Logic and algebraic methods. V.1. Background, mathematical structures. V.2. Background, computational structures. V.3. Semantic structures. V.4. Semantic modelling. V.5. Logic and algebraic methods