Mathematical Logic and Computation

Mathematical Logic and Computation
by Jeremy Avigad
Publisher Finelybook 出版社: ‎Cambridge University Press; New edition (September 30, 2022)
Language 语言: ‎English
Hardcover: ‎450 pages
ISBN-10: ‎1108478751
ISBN-13: ‎9781108478755
Book Description
This new book on mathematical logic by Jeremy Avigad gives a thorough introduction to the fundamental results and methods of the subject from the syntactic point of view, emphasizing logic as the study of formal languages and systems and their proper use. Topics include proof theory, model theory, the theory of computability, and axiomatic foundations, with special emphasis given to aspects of mathematical logic that are fundamental to computer science, including deductive systems, constructive logic, the simply typed lambda calculus, and type-theoretic foundations. Clear and engaging, with plentiful examples and exercises, it is an excellent introduction to the subject for graduate students and advanced undergraduates who are interested in logic in mathematics, computer science, and philosophy, and an invaluable reference for any practicing logician’s bookshelf.