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Nonfinitizability of classes of representable cylindric algebras1

Published online by Cambridge University Press:  12 March 2014

J. Donald Monk
J. Donald Monk*
Affiliation:
University of Colorado and University of California, Berkeley
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Extract

Cylindric algebras were introduced by Alfred Tarski about 1952 to provide an algebraic analysis of (first-order) predicate logic. With each cylindric algebra one can, in fact, associate a certain, in general infinitary, predicate logic; for locally finite cylindric algebras of infinite dimension the associated predicate logics are finitary. As with Boolean algebras and sentential logic, the algebraic counterpart of completeness is representability. Tarski proved the fundamental result that every locally finite cylindric algebra of infinite dimension is representable.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 34 , Issue 3 , 17 November 1969 , pp. 331 - 343
Copyright
Copyright © Association for Symbolic Logic 1969

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Footnotes

1

Research supported in part by NSF Grants GP 7387 and GP 6232-x.

References

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