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A First Course in Logic
An Introduction to Model Theory, Proof Theory, Computability, and Complexity
Taschenbuch von Shawn Hedman
Sprache: Englisch

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Beschreibung
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.
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.
Inhaltsverzeichnis
  • 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

Details
Erscheinungsjahr: 2004
Fachbereich: Grundlagen
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780198529811
ISBN-10: 0198529813
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Hedman, Shawn
Hersteller: OUP Oxford
Maße: 244 x 170 x 25 mm
Von/Mit: Shawn Hedman
Erscheinungsdatum: 01.09.2004
Gewicht: 0,774 kg
Artikel-ID: 108631384
Inhaltsverzeichnis
  • 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

Details
Erscheinungsjahr: 2004
Fachbereich: Grundlagen
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780198529811
ISBN-10: 0198529813
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Hedman, Shawn
Hersteller: OUP Oxford
Maße: 244 x 170 x 25 mm
Von/Mit: Shawn Hedman
Erscheinungsdatum: 01.09.2004
Gewicht: 0,774 kg
Artikel-ID: 108631384
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