A First Course in Logic : An Introduction to Model Theory, Proof Theory, Computability, and Complexity: An Introduction to Model Theory, Proof Theory, Computability, and Complexity: 1 - Brossura

Hedman, Shawn

 
9780198529811: A First Course in Logic : An Introduction to Model Theory, Proof Theory, Computability, and Complexity: An Introduction to Model Theory, Proof Theory, Computability, and Complexity: 1

Sinossi

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Recensione

'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)

Contenuti

  • 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

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Altre edizioni note dello stesso titolo

9780198529804: A First Course in Logic: An Introduction to Model Theory, Proof Theory, Computability, and Complexity: 1

Edizione in evidenza

ISBN 10:  0198529805 ISBN 13:  9780198529804
Casa editrice: OUP Oxford, 2004
Rilegato