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The contributions of Alfred Tarski to algebraic logic

Published online by Cambridge University Press:  12 March 2014

J. Donald Monk
J. Donald Monk*
Affiliation:
Department of Mathematics, University of Colorado, Boulder, Colorado 80309
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Extract

One of the most extensive parts of Tarski's contributions to logic is his work on the algebraization of the subject. His work here involves Boolean algebras, relation algebras, cylindric algebras, Boolean algebras with operators, Brouwerian algebras, and closure algebras. The last two are less developed in his work, although his contributions are basic to other work in those subjects. At any rate, not being conversant with the latest developments in those fields, we shall concentrate on an exposition of Tarski's work in the first four areas, trying to put them in the perspective of present-day developments.

For useful comments, criticisms, and suggestions, the author is indebted to Steven Givant, Leon Henkin, Wilfrid Hodges, Bjarni Jónsson, Roger Lyndon, and Robert Vaught.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 51 , Issue 4 , December 1986 , pp. 899 - 906
Copyright
Copyright © Association for Symbolic Logic 1986

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