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The Minimum DNA Computation Model and Its Computational Power

机译:最小DNA计算模型及其计算能力

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This paper studies seemingly the smallest DNA computational model. This model assumes as its computation basis merge, detect, synthesize, anneal, and length-specific separation, but does not assume sequence-specific separation as in many other DNA computational models. Uncertainty occurring in some of the operations is taken into consideration, and the decision by computation under the model is defined in terms of robustness. This paper shows tight upper bounds on the power of this computational model in terms of circuits. For every k >= 1, the languages robustly accepted by programs under this model in O (log~k, n) steps using polynomially many DNA molecules resides between NC~k and SAC~(k+1).
机译:本文似乎研究了最小的DNA计算模型。该模型假定合并,检测,合成,退火和特定长度的分离为计算基础,但不像许多其他DNA计算模型那样假定特定序列的分离。考虑到某些操作中出现的不确定性,并根据鲁棒性定义了模型下的计算决策。本文在电路方面显示了此计算模型的强大上限。对于每一个k> = 1,该模型下的程序在O(log_k,n)步中使用多项式牢固地接受的语言,其中许多DNA分子位于NC_k和SAC_(k + 1)之间。

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