Automated Design of Combinational Logic Circuits by Genetic Algorithms
We introduce a method, based on a genetic algorithm (GA) approach, to design combinational logic circuits. This problem is quite difficult for a traditional GA, but we have overcome these difficulties and have implemented a computer program that can automatically generate high-quality circuit designs. We describe the important issues to consider when solving this circuit design problem: the importance of the representation scheme, the encoding function, and the definition of the fitness function. We present several circuits derived by our system under various assumed constraints, such as the maximum number of allowable gates and the types of available gates. We compare the solutions produced by our system against those generated by a human designer. We also show that our representation approach, when compared to a standard binary encoding, produces better performance both in terms of quality of solution and in terms of speed of convergence.
KeywordsGenetic Algorithm Logic Circuit Human Designer Combinational Circuit Functional Circuit
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- R.K. Brayton, G.D. Hachtel, C.T. McMullen, and A.L. Sangiovanni-Vincentelli. Logic Minimization Algorithms for VLSI Synthesis. Kluwer Academic Publishers, 1984.Google Scholar
- J.H. Holland. Adaptation in Natural and Artificial Systems. An Introductory Analysis with Applications to Biology, Control and Artificial Intelligence. MIT Press, Cambridge, Massachusetts, 1992.Google Scholar
- J.R. Koza. Genetic Programming. On the Programming of Computers by Means of Natural Selection. The MIT Press, 1992.Google Scholar
- S.J. Louis and G.J. Rawlins. Using genetic algorithms to design structures. Technical Report 326, Computer Science Department, Indiana University, Bloomington, Indiana, feb 1991.Google Scholar
- S.J. Louis. Genetic Algorithms as a Computational Tool for Design. PhD thesis, Department of Computer Science, Indiana University, aug 1993.Google Scholar
- C.H. Roth, Jr. Fundamentals of Logic Design (4th Edition). West Publishing Company, 1992.Google Scholar
- C.E. Shannon. A symbolic analysis of relay and switching circuits. Transactions of the AIEE, 57:713–723, 1938.Google Scholar
- E.W. Veitch. A chart method for simplifying boolean functions. Proceedings of the ACM, pages 127–133, May 1952.Google Scholar