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Fast parallel molecular solutions for DNA-based supercomputing: the subset-product problem.

Michael Shan-Hui Ho
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Abstract

In this paper our main purpose is to give molecular solutions for the subset-product problem. In order to achieve this, we propose three DNA-based algorithms--parallel adder, parallel multiplier and parallel comparator--that formally verify our designed molecular solutions for the subset-product problem. We also show that Boolean circuits are not needed to perform mathematical operations on a molecular computer. Furthermore, this work indicates that the subset-product problem is solved and also presents clear evidence of the ability of molecular computing to perform complicated mathematical operations.

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BibTeXRIS

Michael Shan-Hui Ho. 2005. Fast parallel molecular solutions for DNA-based supercomputing: the subset-product problem.. https://doi.org/10.1016/j.biosystems.2004.11.009

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