Classical Physics and the Church-Turing Thesis

@article{Yao2002ClassicalPA,
  title={Classical Physics and the Church-Turing Thesis},
  author={Andrew Chi-Chih Yao},
  journal={Electronic Colloquium on Computational Complexity (ECCC)},
  year={2002}
}
Would physical laws permit the construction of computing machines that are capable of solving some problems much faster than the standard computational model? Recent evidence suggests that this might be the case in the quantum world. But the question is of great interest even in the realm of classical physics. In this article, we observe that there is fundamental tension between the Extended Church--Turing Thesis and the existence of numerous seemingly intractable computational problems arising… CONTINUE READING
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