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@InCollection{Rajaei:2011:SCIA, author = "Arezoo Rajaei and Mahboobeh Houshmand and Modjtaba Rouhani", title = "Optimization of Combinational Logic Circuits Using NAND Gates and Genetic Programming", booktitle = "Soft Computing in Industrial Applications", publisher = "Springer", year = "2011", editor = "Antonio Gaspar-Cunha and Ricardo Takahashi and Gerald Schaefer and Lino Costa", volume = "96", series = "Advances in Intelligent and Soft Computing", pages = "405--414", keywords = "genetic algorithms, genetic programming", isbn13 = "978-3-642-20504-0", DOI = "doi:10.1007/978-3-642-20505-7_36", abstract = "The design of an optimised logic circuit that implements a desired Boolean function is of interest. Optimisation can be performed in terms of different objectives. They include optimising the number of gates, the number of levels, the number of transistors of the circuit, etc. In this paper, we describe an approach using genetic programming to optimize a given Boolean function concerning the above mentioned objectives. Instead of commonly used set of gates, i.e. {AND, OR, NOT, XOR}, we use the universal NAND gates which lead to a faster and more compact circuit. The traditional gate minimisation techniques produce simplified expressions in the two standard forms: sum of products (SOP) or product of sums (POS). The SOP form can be transformed to a NAND expression by a routine, but the transformation does not lead to optimized circuit; neither in terms of the number of gates, nor the number of levels. Experimental results show our approach produces better results compared to transforming the SOP form to the NAND expression, with respect to the number of gates, levels and transistors of the circuit.", }

Genetic Programming entries for Arezoo Rajaei Mahboobeh Houshmand Modjtaba Rouhani