skip to main content
10.1145/1278480.1278689acmconferencesArticle/Chapter ViewAbstractPublication PagesdacConference Proceedingsconference-collections
Article

A unified approach to canonical form-based Boolean matching

Published:04 June 2007Publication History

ABSTRACT

In this paper, we face the problem of P-equivalence Boolean matching. We outline a formal framework that unifies some of the canonical form-based approaches to the problem.

As a first major contribution, we show how these approaches are particular cases of a single generic algorithm, parametric with respect to a given linear transformation of the input function.

As a second major contribution, we identify a linear transformation that can be used to significantly speed up Boolean matching with respect to the state of the art. Experimental results show that, on average, our approach is five times faster than the main competitor on 20-variables input functions, and scales better, allowing to match even larger components.

References

  1. Afshin Abdollahi and Massoud Pedram. A new canonical form for fast boolean matching in logic synthesis and verification. In DAC '05: Proceedings of the 42nd annual conference on Design automation, pages 379--384, New York, NY, USA, 2005. ACM Press. Google ScholarGoogle ScholarDigital LibraryDigital Library
  2. Ken G. Beauchamp. Applications of Walsh and Related Functions. Academic Press, 1984.Google ScholarGoogle Scholar
  3. Luca Benini and Giovanni De Micheli. A survey of Boolean matching techniques for library binding. ACM Trans. Des. Autom. Electron. Syst., 2(3): 193--226, 1997. Google ScholarGoogle ScholarDigital LibraryDigital Library
  4. Jerry R. Burch and David E. Long. Efficient Boolean function matching. In ICCAD '92: Proceedings of the 1992 IEEE/ACM international conference on Computer-aided design, pages 408--11, Los Alamitos, CA, USA, 1992. IEEE Computer Society Press. Google ScholarGoogle ScholarDigital LibraryDigital Library
  5. Donald Chai and Andreas Kuehlmann. Building a better Boolean matcher and symmetry detector. In DATE '06: Proceedings of the conference on Design, automation and test in Europe, pages 1079--1084, 3001 Leuven, Belgium, Belgium, 2006. European Design and Automation Association. Google ScholarGoogle ScholarDigital LibraryDigital Library
  6. Jovanka Ciric and Carl Sechen. Efficient canonical form for Boolean matching of complex functions in large libraries. Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on, 22(5):535--544, May 2003. Google ScholarGoogle ScholarDigital LibraryDigital Library
  7. Debatosh Debnath and Tsutomu Sasao. Efficient computation of canonical form for Boolean matching in large libraries. In Masaharu Imai, editor, ASP-DAC, pages 591--596. IEEE, 2004. Google ScholarGoogle ScholarDigital LibraryDigital Library
  8. C. R. Edwards and S. L. Hurst. A digital synthesis procedure under function symmetries and mapping methods. IEEE Trans. Comp., (11):985--997, Nov 1978. Google ScholarGoogle ScholarDigital LibraryDigital Library
  9. Serge Lang. Linear Algebra. Addison Wesley, 1966.Google ScholarGoogle Scholar
  10. Janett Mohnke, Paul Molitor, and Sharad Malik. Limits of using signatures for permutation independent Boolean comparison. In ASP-DAC '95: Proceedings of the 1995 conference on Asia Pacific design automation (CD-ROM), page 74, New York, NY, USA, 1995. ACM Press. Google ScholarGoogle ScholarDigital LibraryDigital Library
  11. Fabio Somenzi. CUDD: CU Decision Diagram Package. http://vlsi.colorado.edu/fabio/CUDD/.Google ScholarGoogle Scholar

Index Terms

  1. A unified approach to canonical form-based Boolean matching

    Recommendations

    Comments

    Login options

    Check if you have access through your login credentials or your institution to get full access on this article.

    Sign in
    • Published in

      cover image ACM Conferences
      DAC '07: Proceedings of the 44th annual Design Automation Conference
      June 2007
      1016 pages
      ISBN:9781595936271
      DOI:10.1145/1278480

      Copyright © 2007 ACM

      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]

      Publisher

      Association for Computing Machinery

      New York, NY, United States

      Publication History

      • Published: 4 June 2007

      Permissions

      Request permissions about this article.

      Request Permissions

      Check for updates

      Qualifiers

      • Article

      Acceptance Rates

      DAC '07 Paper Acceptance Rate152of659submissions,23%Overall Acceptance Rate1,770of5,499submissions,32%

      Upcoming Conference

      DAC '24
      61st ACM/IEEE Design Automation Conference
      June 23 - 27, 2024
      San Francisco , CA , USA

    PDF Format

    View or Download as a PDF file.

    PDF

    eReader

    View online with eReader.

    eReader