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Ravi Pandya software | nanotechnology | economics |
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Sun 28 Oct 2007 There's a DNA computing group at Caltech doing some amazing work. They have defined a model for performing arbitrary Turing-complete computation using chemical reactions by mapping a Minsky Register Machine to relative molecule counts: "Well-mixed finite stochastic chemical reaction networks with a fixed number of species can perform Turing-universal computation with an arbitrarily low error probability. This result illuminates the computational power of stochastic chemical kinetics: error-free Turing universal computation is provably impossible, but once any non-zero probability of error is allowed, no matter how small, stochastic chemical reaction networks become Turing universal. This dichotomy implies that the question of whether a stochastic chemical system can eventually reach a certain state is always decidable, the question of whether this is likely to occur is uncomputable in general." 07:03 # |
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