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Algebraic Logic
Paul R. Halmos

AMS Chelsea Publishing
1962; 271 pp; hardcover
Volume: 154
ISBN-10: 0-8218-4138-6
ISBN-13: 978-0-8218-4138-9
List Price: US$43
Individual Members: US$38.70
Order Code: CHEL/154.H
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The book is a complete collection of Paul Halmos's articles written on the subject of algebraic logic (the theory of Boolean functions). Altogether, there are ten articles, which were published between 1954-1959 in eight different journals spanning four countries. The articles appear in an order that allows the reader unfamiliar with the subject to read them without many prerequisites. In particular, the first article in the book is an accessible introduction to algebraic logic.


Graduate students and research mathematicians interested in algebraic logic.

Table of Contents

  • The basic concepts of algebraic logic
Part One. Monadic Algebras
  • General Theory: Algebraic logic, I. Monadic Boolean algebras
  • Representation: The representation of monadic Boolean algebras
  • Freedom: Free monadic algebras
Part Two. Polyadic Algebras
  • General Theory: Algebraic logic, II. Homogeneous locally finite polyadic Boolean algebras of infinite degree
  • Terms: Algebraic logic, III. Predicates, terms, and operations in polyadic algebras
  • Equality: Algebraic logic, IV. Equality in polyadic algebras
Part Three. Summary
  • General Theory: Polyadic Boolean algebras
  • Terms and Equality: Predicates, terms, operations, and equality in polyadic Boolean algebras
  • Brief Summary: Polyadic Boolean algebras
  • Additional Bibliography
  • Index
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