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Asymptotic probabilities for second-order existential Kahr-Moore-Wang sentences

Published online by Cambridge University Press:  12 March 2014

Anne Vedø
Anne Vedø*
Affiliation:
Bølerlia 72, 0689 Oslo, Norway. E-mail: ave@ssb.no
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Abstract

We show that the 0-1 law does not hold for the class (∀∃∀ without = ) by finding a sentence in this class which almost surely expresses parity. We also show that every recursive real in the unit interval is the asymptotic probability of a sentence in this class. This expands a result by Lidia Tendera, who in 1994 proved that every rational number in the unit interval is the asymptotic probability of a sentence in the class ∀∃∀ with equality.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 62 , Issue 1 , March 1997 , pp. 304 - 319
Copyright
Copyright © Association for Symbolic Logic 1997

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References

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