Burnout Paradise Vanity Pack 2.0 23l __HOT__
Burnout Paradise Vanity Pack 2.0 23l
Abstract: The relation between the butterfly effect and Turing’s halting problem is discussed. We will see that one can explain the halting problem via an effect on the real butterfly. This opens the possibility of a generalization of the algorithmic information theory to non algorithmic systems. We will also discuss a concept that may be a foundation for the algorithmic information theory. This concept is the measure of convergence and it is a consequence of the ergodic theorem. Keywords: Turing machine; chaos; algorithmic information theory; halting problem; ergodic theorem; convergence; measure.
Lyons, R., On informally proving that Turing’s halting problem is undecidable. Inf. Process. Lett. 63, 153-154 (1997).
Noam Nisan, Avi Wigderson. The complexity of approximation: Randomized algorithm versus deterministic algorithm. STOC 1987.
Lloyd, S. Performance of parallel computers: a new approach to a 150-year-old problem. Ann. Rev. Comp. Sci. 1, 59-86 (1997).
Kurzweil, R. The no-brainer is over: Why humans don’t need brains. in: Bostrom, N., editor. The long-term future of humanity. page 200-205. New York: Oxford University Press, 2000.
Soare, G. Algorithmic randomness and definability. Ann. Pure Appl. Logic 161, 107-165 (2010).
Thomas, A. Universal quantifiers, randomness and the lambda calculus. arXiv:1312.0807.
Rolen, R. The Limits of Computation. Cambridge: Cambridge University Press, 1981.
Goto, Y. & Tolman, R.F. Turing’s halting problem. In: Szendrei, E., editor, Nonstandard Methods in Mathematics and their Applications in Science and Engineering, volume 463, pp. 16-28. Berlin: Springer, 2007.
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Burnout Paradise Vanity Pack 2.0 23l
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