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Polynomial time uniformization and non-standard methods

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Abstract

This paper presents the contents of a talk given in December 1990, during the second “Journées sur les Arithmétiques Faibles” held at the LITP, Paris; the talk was repeated during the 1991 Ecole de Printemps of Méjannes le Clap. The paper proves a polynomial time computability result for a class of NP inter co-NP problems, for which only the obvious exponential time algorithm was known. The result is proved by a striking use of non-standard methods, and it is not clear at all how to obtain it by standard methods.

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Ressayre, J.P. Polynomial time uniformization and non-standard methods. Ann Math Artif Intell 16, 75–88 (1996). https://doi.org/10.1007/BF02127795

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