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A heuristic algorithm to minimize ESOPs for multiple-output incompletely specified functions

Published: 30 April 2006 Publication History

Abstract

In this work, a novel heuristic algorithm for the minimization of Exclusive-Or Sum Of Products (ESOP) expressions for multiple output incompletely specified functions is presented. An initial algorithm, DCMIN, uses functional decomposition and multiple-valued logic in order to produce almost minimal expressions for these functions. Based on DCMIN, an improved algorithm, QuickDCMIN, is proposed, which outperforms existing algorithms.

References

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T. Kozlowski, E. L. Dagless, andJ. M. Saul. An enhanced algorithm for the minimization of exclusive-or sum-of-products for incompletely specified functions. In 1995 IEEE Intrn. Conf. on Computer Design (ICDD'95) page 244, 1995.
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T. Sasao. Exmin2: A simplification algorithm for exclusive-or sum-of-products expressions for multiple-valued input two-valued output functions. IEEE Trans. on Computer-Aided Design of Integrated Circuits and Systems 12(5): 621--632, May 1993.
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  • (2012)Exact ESOP expressions for incompletely specified functionsIntegration10.1016/j.vlsi.2011.10.00145:2(197-204)Online publication date: Mar-2012

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    cover image ACM Conferences
    GLSVLSI '06: Proceedings of the 16th ACM Great Lakes symposium on VLSI
    April 2006
    450 pages
    ISBN:1595933476
    DOI:10.1145/1127908
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    Publication History

    Published: 30 April 2006

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    Author Tags

    1. ESOP
    2. exact minimization
    3. heuristic minimization
    4. incompletely specified functions
    5. multiple-valued logic

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    GLSVLSI06: Great Lakes Symposium on VLSI 2006
    April 30 - May 1, 2006
    PA, Philadelphia, USA

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    • (2012)Exact ESOP expressions for incompletely specified functionsIntegration10.1016/j.vlsi.2011.10.00145:2(197-204)Online publication date: Mar-2012

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