Foundations of Computing: System Development With Set Theory and Logic (International Computer Science Series)

Set theory and logic are the twin pillars of computing science. Their mastery is an essential part of the software engineer's education. This book provides a clear introduction to the key ideas of these two subjects and shows how they can be applied successfully in formal system development. Highlights of the book include: * A presentation of set theory as a modelling language of universal applicability * A wealth of practical examples demonstrating the remarkable simplicity and naturalness of set theory as a description tool * A description of logic as a formal language, and as a simple way of introducing the key concepts of formal syntax, semantics and deduction calculus * A practical methodology of system development based on set theory and illustrated by several substantial case studies The book starts from first principles and requires no prior knowledge of mathematics. It will be equally valuable for students of computing science and software engineers wishing to develop the skills required to apply formal methods successfully.