A First Course in Logic: An Introduction to Model Theory, Proof Theory, Computability, and Complexity

Author:   Shawn Hedman (Department of Mathematics, Florida Southern College)
Publisher:   Oxford University Press
Volume:   1
ISBN:  

9780198529811


Pages:   452
Publication Date:   08 July 2004
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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A First Course in Logic: An Introduction to Model Theory, Proof Theory, Computability, and Complexity


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Overview

The ability to reason and think in a logical manner forms the basis of learning for most mathematics, computer science, philosophy and logic students. Based on the author's teaching notes at the University of Maryland and aimed at a broad audience, this text covers the fundamental topics in classical logic in an extremely clear, thorough and accurate style that is accessible to all the above. Covering propositional logic, first-order logic, and second-order logic, as well as proof theory, computability theory, and model theory, the text also contains numerous carefully graded exercises and is ideal for a first or refresher course.

Full Product Details

Author:   Shawn Hedman (Department of Mathematics, Florida Southern College)
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Volume:   1
Dimensions:   Width: 16.90cm , Height: 2.60cm , Length: 23.90cm
Weight:   0.767kg
ISBN:  

9780198529811


ISBN 10:   0198529813
Pages:   452
Publication Date:   08 July 2004
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Preliminaries 1: Propositional Logic 2: Structures and First-Order Logic 3: Proof Theory 4: Properties of First-Order Logic 5: First-Order Theories 6: Models of Countable Theories 7: Computability and Complexity 8: The Incompleteness Theorems 9: Beyond First-Order Logic 10: Finite Model Theory Bibliography Index

Reviews

'a clear and unifying treatment of fundamental concepts underlying Computer Sciences and Foundations of Mathematics' Professor Boris Zilber (Professor of Mathematical Logic, University of Oxford) 'an excellent book' Professor Dov Gabbay (King's College, London)


'an excellent book' Professor Dov Gabbay (King's College, London) 'a clear and unifying treatment of fundamental concepts underlying Computer Sciences and Foundations of Mathematics' Professor Boris Zilber (Professor of Mathematical Logic, University of Oxford)


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