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Explicit Henkin sentences

Published online by Cambridge University Press:  12 March 2014

Robert M. Solovay
Robert M. Solovay*
Affiliation:
University of California, Berkeley, California 94720
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Abstract

Hofstadter has introduced the notion of an explicit Henkin sentence. Roughly speaking, an explicit Henkin sentence not only asserts its own provability, as ordinary Henkin sentences do, but explicitly provides a detailed description of a proof. We provide, in this paper, a precise formalization of Hofstadter's notion and then show that true explicit Henkin sentences exist.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 50 , Issue 1 , March 1985 , pp. 91 - 93
Copyright
Copyright © Association for Symbolic Logic 1985

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References

REFERENCES

[1] Hofstadter, D. R., Gödel, Escher, Bach: an eternal golden braid, Basic Books, New York, 1979.Google Scholar
[2] Löb, M. H., Solution of a problem of Leon Henkin, this Journal, vol. 20 (1955), pp. 115–118.Google Scholar