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Boolean Differential Calculus—Theory and Applications

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Abstract:

The Boolean Differential Calculus is a powerful theory that extends the concepts of a Boolean algebra and particularly its applications significantly. Based on a small number of definitions a lot of theorems were proven. The available operations have been efficiently implemented in several software packages. There is a very wide field of applications of the Boolean Differential Calculus. In this review we combine an introduction into the Boolean Differential Calculus with a new extension. In many applications we show how the extended theoretical basis allows to model and solve known problems efficiently and how new approaches for difficult open tasks in different areas were found.

Keywords: ANALYSIS; BOOLEAN DIFFERENTIAL CALCULUS; COMBINATIONAL CIRCUIT; DYNAMIC SYSTEM; LATTICE; LOGIC FUNCTION; SYNTHESIS; TEST

Document Type: Review Article

DOI: https://doi.org/10.1166/jctn.2010.1441

Publication date: 2010-06-01

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  • Journal of Computational and Theoretical Nanoscience is an international peer-reviewed journal with a wide-ranging coverage, consolidates research activities in all aspects of computational and theoretical nanoscience into a single reference source. This journal offers scientists and engineers peer-reviewed research papers in all aspects of computational and theoretical nanoscience and nanotechnology in chemistry, physics, materials science, engineering and biology to publish original full papers and timely state-of-the-art reviews and short communications encompassing the fundamental and applied research.
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