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.
Introduction: 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.