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Automated Design of Combinational Logic Circuits by Genetic Algorithms

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Artificial Neural Nets and Genetic Algorithms

Abstract

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.

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References

  1. 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 

  2. R.K. Brayton, R. Rudell, A. Sangiovanni-Vincentelli, and A.R. Wang. Mis: A multiple-level logic optimization system. IEEE Transactions on Computer-Aided Design, CAD-6(6):1062–1081, November 1987.

    Article  Google Scholar 

  3. David E. Goldberg. Genetic Algorithms in Search, Optimization and Machine Learning. Reading, Mass.: Addison-Wesley Publishing Co., 1989.

    MATH  Google Scholar 

  4. 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 

  5. M. Karnaugh. A map method for synthesis of combinational logic circuits. Transactions of the AIEE, Communications and Electronics, 72(I): 593–599, November 1953.

    MathSciNet  Google Scholar 

  6. J.R. Koza. Genetic Programming. On the Programming of Computers by Means of Natural Selection. The MIT Press, 1992.

    Google Scholar 

  7. 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 

  8. S.J. Louis. Genetic Algorithms as a Computational Tool for Design. PhD thesis, Department of Computer Science, Indiana University, aug 1993.

    Google Scholar 

  9. E.J. McCluskey. Minimization of boolean functions. Bell Systems Technical journal, 35(5):1417–1444, November 1956.

    MathSciNet  Google Scholar 

  10. W.V. Quine. A way to simplify truth functions. American Mathematical Monthly, 62(9):627–631, 1955.

    Article  MathSciNet  MATH  Google Scholar 

  11. C.H. Roth, Jr. Fundamentals of Logic Design (4th Edition). West Publishing Company, 1992.

    Google Scholar 

  12. C.E. Shannon. A symbolic analysis of relay and switching circuits. Transactions of the AIEE, 57:713–723, 1938.

    Google Scholar 

  13. E.W. Veitch. A chart method for simplifying boolean functions. Proceedings of the ACM, pages 127–133, May 1952.

    Google Scholar 

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© 1998 Springer-Verlag Wien

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Coello Coello, C.A., Christiansen, A.D., Aguirre, A.H. (1998). Automated Design of Combinational Logic Circuits by Genetic Algorithms. In: Artificial Neural Nets and Genetic Algorithms. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6492-1_73

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  • DOI: https://doi.org/10.1007/978-3-7091-6492-1_73

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-83087-1

  • Online ISBN: 978-3-7091-6492-1

  • eBook Packages: Springer Book Archive

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