PMID: 9419334Jan 14, 1998Paper

Limit, logic, and computation

Proceedings of the National Academy of Sciences of the United States of America
M H Freedman

Abstract

We introduce "ultrafilter limits" into the classical Turing model of computation and develop a paradigm for interpreting the problem of distinguishing the class P from NP as a logical problem of decidability. We use P(NP) to denote decision problems which can be solved on a (nondeterministic) Turing machine in polynomial time. The concept is that in an appropriate limit it may be possible to prove that problems in P are still decidable, so a problem whose limit is undecidable would be established as lying outside of P.

Citations

Aug 14, 1999·International Journal of Cancer. Journal International Du Cancer·S NigamS Yamamoto
Jul 10, 2001·Angewandte Chemie·Ute Schepers, Thomas Kolter
Jul 5, 2012·PloS One·Yongchen GuoYaofeng Zhao
Jun 9, 2004·The Japanese Journal of Physiology·Ken-ichi MiyamotoMasashi Kuwahata
Jan 22, 2000·Computers & Chemistry·H P Yockey

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