Logic is now widely recognized to be one of the foundational disciplines of computing with applications in virtually all aspects of the subject, from software engineering and hardware development to programming languages and artificial intelligence. There is a growing need for an in-depth survey of the applications of logic in AI and computer science. and its companion, , have been created in response to this need. This book is a combination of authoritative exposition, comprehensive survey, and fundamental research that explores underlying unifying themes in the various subject areas. Chapters have been written by an internationally renowned team of researchers and are coordinated in terms of the theories discussed and the examples offered. This book will be of interest to graduate students and researchers in all areas of artificial intelligence, computer science, and logic, as well as to logicians and mathematicians.