Shawn Hedman

A First Course in Logic

An Introduction to Model Theory, Proof Theory, Computability, and Complexity

• Broschiertes Buch

Produktbeschreibung

Based on the author's teaching notes, this comprehensive text covers the basics of classical logic, including propositional logic, first-order logic, and second-order logic, as well as proof theory, computability theory, and model theory. Extremely clear, thorough and accurate, this text is ideal for a first or refresher course.

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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.

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Produktdetails

• Verlag: Oxford University Press
• Seitenzahl: 452
• Erscheinungstermin: 1. September 2004
• Englisch
• Abmessung: 244mm x 170mm x 25mm
• Gewicht: 750g
• ISBN-13: 9780198529811
• ISBN-10: 0198529813
• Artikelnr.: 14930482

Autorenporträt

SHAWN HEDMAN, Department of Mathematics, Florida Southern College

Inhaltsangabe

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