Stochastic switching circuit synthesis

@article{Wilhelm2008StochasticSC,
  title={Stochastic switching circuit synthesis},
  author={Daniel Wilhelm and Jehoshua Bruck},
  journal={2008 IEEE International Symposium on Information Theory},
  year={2008},
  pages={1388-1392}
}
Shannon in his 1938 Masterpsilas Thesis demonstrated that any Boolean function can be realized by a switching relay circuit, leading to the development of deterministic digital logic. Here, we replace each classical switch with a probabilistic switch (pswitch). We present algorithms for synthesizing circuits closed with a desired probability, including an algorithm that generates optimal size circuits for any binary fraction. We also introduce a new duality property for series-parallel… CONTINUE READING
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