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A model-theoretic proof for P ≠ NP over all infinite abelian group

Published online by Cambridge University Press:  12 March 2014

Mihai Prunescu
Mihai Prunescu*
Affiliation:
Institut für Mathematik und Informatik der Universität Greifswald, F.L.Jahn STR. 15A, 17489 Greifswald, Germany Institute of Mathematics of Romanian Academy, PO-Box 1-764, 70700 Bucharest, Romania, E-mail: prunescu@mail.uni-greifswald.de
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Abstract

We give a model-theoretic proof of the fact that for all infinite Abelian groups P ≠ NP in the sense of binary nondeterminism. This result has been announced 1994 by Christine Gaßner.

Keywords

BSS-modelP ≠ NPabelian groupultraproduct

Information

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 67 , Issue 1 , March 2002 , pp. 235 - 238
Copyright
Copyright © Association for Symbolic Logic 2002

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References

REFERENCES

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