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Towards applying computational complexity to foundations of physics

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Abstract

In one of his early papers, D. Grigoriev analyzed the decidability and computational complexity of different physical theories. This analysis was motivated by the hope that it would help physicists. In this paper, we survey several similar ideas that may be of help to physicists. We hope that further research may lead to useful physical applications. Bibliography: 41 titles.

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Published in Zapiski Nauchnykh Seminarov POMI, Vol. 316, 2004, pp. 63–110.

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Kreinovich, V., Finkelstein, A.M. Towards applying computational complexity to foundations of physics. J Math Sci 134, 2358–2382 (2006). https://doi.org/10.1007/s10958-006-0113-y

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