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An analytic completeness theorem for logics with probability quantifiers

Published online by Cambridge University Press:  12 March 2014

Douglas N. Hoover
Douglas N. Hoover*
Affiliation:
Department of Mathematics and Statistics, Queens University, Kingston, Ontario K71 3N6, Canada
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Abstract

We give a completeness theorem for a logic with probability quantifiers which is equivalent to the logics described in a recent survey paper of Keisler [K]. This result improves on the completeness theorems in [K] in that it works for languages with function symbols and produces a model whose universe is an analytic subset of the real line, and whose relations and functions are Borel relative to this universe.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 52 , Issue 3 , September 1987 , pp. 802 - 816
Copyright
Copyright © Association for Symbolic Logic 1987

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Footnotes

1

This research was supported by an NSERC operating grant. The author is an NSERC University Research Fellow.

2

We thank H. J. Keisler for pointing out an error in the original statement of the Horn Lemma.

References

REFERENCES

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