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Exact minimization of fixed polarity Reed-Muller expressions for incompletely specified functions

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Published:28 January 2000Publication History
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References

  1. 1.G. Bioul, M. Davio, and J.-P. Deschamps, "Minimization of ring-sum expansions of Boolean functions," Philips Res. Repts., Vol. 28, pp. 17-36, 1973.Google ScholarGoogle Scholar
  2. 2.R. E. Bryant, "Graph-based algorithms for Boolean function manipulation," IEEE Trans. Comput., Vol. C-35, No. 8, pp. 677-691, Aug. 1986. Google ScholarGoogle ScholarDigital LibraryDigital Library
  3. 3.C.-H. Chang and B. J. Falkowski, "Flexible optimization of fixed polarity Reed-Muller expansions for multiple output completely and incompletely specified Boolean functions," Proc. Asia and South Pacific Design Automation Conference, pp. 335-340, Sept. 1995. Google ScholarGoogle ScholarDigital LibraryDigital Library
  4. 4.C.-H. Chang and B. J. Falkowski, "Adaptive exact optimisation of minimally testable FPRM expansions," IEE Proceedings-Computers and Digital Techniques, Vol. 145, No. 6, pp. 385-394, Nov. 1998.Google ScholarGoogle ScholarCross RefCross Ref
  5. 5.E. M. Clarke, K. L. McMillan, X. Zhao, M. Fujita, and J. Yang, "Spectral transforms for large Boolean functions with applications to technology mapping," Proc. Design Automation Conference, pp. 54-60, June 1993. Google ScholarGoogle ScholarDigital LibraryDigital Library
  6. 6.M. Davio, J.-P. Deschamps, and A. Thayse, Discrete and Switching Functions, McGraw-Hill International, 1978.Google ScholarGoogle Scholar
  7. 7.R. Drechsler, M. Theobald, and B. Becker, "Fast OFDD- based minimization of fixed polarity Reed-Muller expressions," IEEE Trans. Comput., Vol. C-45, No. 11, pp. 1294-1299, Nov. 1996. Google ScholarGoogle ScholarDigital LibraryDigital Library
  8. 8.D. H. Green, "Reed-Muller expansions of incompletely specified functions," IEE Proceedings, Vol. 134, Pt. E, No. 5, pp. 228-236, Sept. 1987.Google ScholarGoogle Scholar
  9. 9.S. L. Hurst, D. M. Miller, and J. C. Muzio, Spectral Techniques in Digital Logic, Academic Press Inc., 1985. Google ScholarGoogle ScholarDigital LibraryDigital Library
  10. 10.U. Kebschull and W. Rosenstiel, "Efficient graph-based computation and manipulation of functional decision diagrams," Proc. European Conference on Design Automation, pp. 278-282, Mar. 1993.Google ScholarGoogle Scholar
  11. 11.B. W. Kernighan and D. M. Ritchie, The C Programming Language, Second Edition, Prentice-Hall, 1988. Google ScholarGoogle ScholarDigital LibraryDigital Library
  12. 12.P. K. Lui and J. C. Muzio, "Boolean matrix transforms for the minimization of modulo-2 canonical expressions," IEEE Trans. Comput., Vol. C-41, No. 3, pp. 342-347, Mar. 1992. Google ScholarGoogle ScholarDigital LibraryDigital Library
  13. 13.L. McKenzie, A. E. A. Almaini, J. F. Miller, and P. Thomson, "Optimisation of Reed-Muller logic functions," International Journal of Electronics, Vol. 75, No. 3, pp. 451- 466, Sept. 1993.Google ScholarGoogle ScholarCross RefCross Ref
  14. 14.A. Sarabi and M. A. Perkowski, "Fast exact and quasiminimal minimization of highly testable fixed polarity AND/XOR canonical networks," Proc. Design Automation Conference, pp. 30-35, June 1992. Google ScholarGoogle ScholarDigital LibraryDigital Library
  15. 15.T. Sasao, "AND-EXOR expressions and their optimization," in T. Sasao, ed., Logic Synthesis and Optimization, Kluwer Academic Publishers, 1993. Google ScholarGoogle ScholarDigital LibraryDigital Library
  16. 16.T. Sasao, "Representations of logic functions using EXOR operators," in T. Sasao and M. Fujita, eds., Representations of Discrete Functions, Kluwer Academic Publishers, 1996.Google ScholarGoogle Scholar
  17. 17.T. Sasao and F. Izuhara, "Exact minimization of FPRMs using multi-terminal EXOR TDDs," in T. Sasao and M. Fujita, eds., Representations of Discrete Functions, Kluwer Academic Publishers, 1996.Google ScholarGoogle Scholar
  18. 18.T. Sasao, Switching Theory for Logic Synthesis, Kluwer Academic Publishers, 1999. Google ScholarGoogle ScholarDigital LibraryDigital Library
  19. 19.F. Somenzi, CUDD: CU Decision Diagram Package, Release 2.3.0, University of Colorado at Boulder, 1998 (http://vlsi.colorado.edu/~fabio/).Google ScholarGoogle Scholar
  20. 20.A. Tran, "Graphical method for the conversion of minterms to Reed-Muller coefficients and the minimization of exclusive-OR switching functions," IEE Proceedings, Vol. 134, Pt. E, No. 2, pp. 93-99, Mar. 1987.Google ScholarGoogle Scholar
  21. 21.C. Tsai and M. Marek-Sadowska, "Minimisation of fixed-polarity AND/XOR canonical networks," IEE Proceedings-Computers and Digital Techniques, Vol. 141, No. 6, pp. 369-374, Nov. 1994.Google ScholarGoogle ScholarCross RefCross Ref
  22. 22.C. Tsai and M. Marek-Sadowska, "Generalized Reed- Muller forms as a tool to detect symmetries," IEEE Trans. Comput., Vol. 45, No. 1, pp. 33-40, Jan. 1996. Google ScholarGoogle ScholarDigital LibraryDigital Library
  23. 23.C. Tsai and M. Marek-Sadowska, "Multilevel logic synthesis for arithmetic functions," Proc. 33rd Design Automation Conference, pp. 242-247, June 1996. Google ScholarGoogle ScholarDigital LibraryDigital Library
  24. 24.C. Tsai and M. Marek-Sadowska, "Boolean functions classification via fixed polarity Reed-Muller forms," IEEE Trans. Comput., Vol. C-46, No. 2, pp. 173-186, Feb. 1997. Google ScholarGoogle ScholarDigital LibraryDigital Library
  25. 25.D. Varma and E. A. Trachtenberg, "Computation of Reed-Muller expansions of incompletely specified Boolean functions from reduced representations," IEE Proceedings-E, Vol. 138, No. 2, pp. 85-92, Mar. 1991.Google ScholarGoogle Scholar
  26. 26.A. Zakrevskij, "Minimizing polynomial implementation of weakly specified logic functions and systems," Proc. 3rd International Workshop on Applications of the Reed-Muller Expansion in Circuit Design, pp. 157-166, Sept. 1997.Google ScholarGoogle Scholar
  27. 27.I. I. Zhegalkin, "The technique of calculation of statements in symbolic logic," Mathe. Sbornik, Vol. 34, pp. 9-28, 1927 (in Russian).Google ScholarGoogle Scholar
  28. 28.Z. Zilic and Z. G. Vranesic, "A multiple-valued Reed- Muller transform for incompletely specified functions," IEEE Trans. Comput., Vol. C-44, No. 8, pp. 1012-1020, Aug. 1995. Google ScholarGoogle ScholarDigital LibraryDigital Library

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  • Published in

    cover image ACM Conferences
    ASP-DAC '00: Proceedings of the 2000 Asia and South Pacific Design Automation Conference
    January 2000
    691 pages
    ISBN:0780359747
    DOI:10.1145/368434

    Copyright © 2000 ACM

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