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On the model theory of denumerably long formulas with finite strings of quantifiers

Published online by Cambridge University Press:  12 March 2014

M. Makkai
M. Makkai*
Affiliation:
Mathematical Institute of the Hungarian Academy of Sciences, Budapest
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Extract

In this paper we prove infinitary analogues of model-theoretic results known for finitary logic. The infinitary language we deal with is Lω1ω which is roughly described by saying that, in addition to the usual formation rules of the lower predicate calculus with identity, also the formation of the conjunction and disjunction of countably many formulas is allowed.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 34 , Issue 3 , 17 November 1969 , pp. 437 - 459
Copyright
Copyright © Association for Symbolic Logic 1969

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