Logics for Computer Science: Classical and Non-Classical - Hardcover

Wasilewska, Anita

Hardcover

ISBN 10: 3319925903 ISBN 13: 9783319925905

Publisher: Springer, 2018

Synopsis

Providing an in-depth introduction to fundamental classical and non-classical logics, this textbook offers a comprehensive survey of logics for computer scientists. Logics for Computer Science contains intuitive introductory chapters  explaining the  need for logical investigations, motivations for different types of logics  and some of their history. They are followed by strict  formal approach chapters. All chapters contain many detailed examples explaining each of the introduced notions and definitions, well chosen sets of exercises with carefully written solutions, and sets of homework. 

While many logic books are available, they were written by logicians for  logicians, not for computer scientists. They usually choose one particular way of presenting the material and use a specialized language. Logics for Computer Science discusses Gentzen as well as Hilbert formalizations, first order theories, the Hilbert Program, Godel's  first and second incompleteness theorems and their proofs. It also introduces and discusses some many valued logics, modal logics and introduces algebraic models  for classical, intuitionistic, and modal S4 and  S5 logics.

The theory of computation is based on concepts defined by logicians and mathematicians. Logic plays a fundamental role in computer science, and this book explains the basic theorems, as well as different techniques of proving them in classical and some non-classical logics. Important applications derived from concepts of logic for computer technology include Artificial Intelligence and Software Engineering. In addition to Computer Science, this book may also find an audience in mathematics and philosophy courses, and some of the chapters are also useful for a course in Artificial Intelligence. 

About this title

About the Author

Professor Anita Wasilewska has been teaching a "logic for computer science" class for many years, using presentation slides for ease of comprehension. She earned her Master Degree in Computer Science and Ph.D. in Mathematics from Warsaw University, where she consequently was a faculty of the Mathematics Department from 1967 to 1983. She came to the United States in 1980 as a visiting Assistant Professor in Mathematics at Wesleyan and Yale Universities in Connecticut, before joining Stony Brook’s Department of Computer Science in 1986.

She has also published papers, books, and edited books in many domains ranging from Classical and Non-Classical Logics, Automated Theorem Proving, Formal Languages, Theory of Programs, Foundations of Rough Sets in which she was one of the pioneers, to generalized Fuzzy and Rough sets, and Machine Learning. 

From the Back Cover

The theory of computation is based on concepts defined by logicians and mathematicians. Logic plays a fundamental role in computer science, and this book explains the basic theorems, as well as different techniques of proving them in classical and some non-classical logics. Important applications derived from concepts of logic for computer technology include Artificial Intelligence and Software Engineering. 

Providing an in-depth introduction to fundamental classical and non-classical logics, this textbook offers a comprehensive survey of logics for computer scientists. Logics for Computer Science contains intuitive introductory chapters  explaining the  need for logical investigations, motivations for different types of logics  and some of their history. They are followed by strict  formal approach chapters. All chapters contain many detailed examples explaining each of the introduced notions and definitions, well chosen sets of exercises with carefully written solutions, and sets of homework. 

Includes links to the author's companion lecture slides for each chapter: several hundred presentations which summarize the ideas presented in the chapters for ease of comprehension.

Edition details

• Publisher: Springer
• Publication date: 2018
• Language: English
• ISBN 10: 3319925903
• ISBN 13: 9783319925905
• Binding: Hardcover
• Edition number: 1
• Number of pages: 545