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D. Schweizer and Y. Abu-Mostafa. Kolmogorov metric spaces. Manuscript, Computer Science, 256-80, California Institue of Technology, Pasadena, 1988.

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This paper is cited in the following contexts:
Mathematical Theory of Thermodynamics of Computation - Li, Vitányi   (Correct)

....previous results on this issue which are comparable. Informally, E(x; y) is the optimal thermodynamic cost of computing y from x, and K(xjy) is the length of the shortest effective description of x given y. At least in [5] Kolmogorov complexity was used in the analysis of reversible computing. In [19] a Kolmogorov complexity based metric for picture similarity was proposed (which is too complex) without clear justification or further results. One of us, stimulated by that paper, proposed (but did not publish) the proper definition K(xjy) K(yjx) of universal cognitive measure (presented in ....

D. Schweizer and Y. Abu-Mostafa. Kolmogorov metric spaces. Manuscript, Computer Science, 256-80, California Institue of Technology, Pasadena, 1988.


Theory of Thermodynamics of Computation - Li, Vitányi (1992)   (2 citations)  (Correct)

....results on this issue which are comparable. Informally, E(x; y) is the optimal thermodynamic cost of computing y from x, and K(xjy) is the length of the shortest effective description of x given y. At least in [5] Kolmogorov complexity was used in the analysis of reversible computing. In [20] a Kolmogorov complexity based metric for picture similarity was proposed (which is too complex) without clear justification or further results. One of us, stimulated by that paper, proposed (but did not publish) the proper definition K(xjy) K(yjx) of universal cognitive measure (presented in ....

D. Schweizer and Y. Abu-Mostafa. Kolmogorov metric spaces. Manuscript, Computer Science, 256-80, California Institue of Technology, Pasadena, CA 91125, 1988.

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