Skip to main content

Effects of practical assumption in area complexity of VLSI computation

  • Conference paper
  • First Online:
RIMS Symposia on Software Science and Engineering

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 147))

  • 109 Accesses

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R.P.Brent and H.T.Kung, "The Chip Complexity of Binary Arithmetic," Proc. 12th Annu. ACM Symp. on Theory of Comput., ACM, pp.190–200, April 1980.

    Google Scholar 

  2. R.P. Brent and H.T. Kung, "On the Area of Binary Tree Layouts," Information Processing Letters, Vol.11, No.1, pp.46–48, Aug. 1980.

    Google Scholar 

  3. B.Chazelle and L.Monier, "A Model of Computation for VLSI with Related Complexity Results," Dept. of Comput. Sci., Carnegie-Mellon Univ., Pittsburgh, Pa., Tech. Rep. CMU-CS-81-107, Feb. 1981.

    Google Scholar 

  4. I.Deegan, "Concise Cellular Array for Multiplication and Division," Electronics Letters, Vol.7, No.23, Nov. 1971.

    Google Scholar 

  5. R.B. Johnson Jr., "The Complexity of a VLSI Adder," Information Processing Letters, Vol.11, No.2, pp.92–93, Oct. 1980.

    Google Scholar 

  6. D.E. Knuth, The Art of Computer Programming, Vol.3: Sorting and Searching, Addison-Wesley, Reading, Massachusetts, 1973.

    Google Scholar 

  7. R.J. Lipton and R.E. Tarjan, "Applications of a Planar Separator Theorem," SIAM J., Vol.9, No.3, pp.615–627, Aug. 1980.

    Google Scholar 

  8. K. Menger, "Zur Allgemeinen Kurventheorie," Fund. Math., Vol.10, pp.96–115, 1927.

    Google Scholar 

  9. J.E. Savage, The Complexity of Computing, Wiley-Interscience, New York, N.Y., 1976.

    Google Scholar 

  10. J.E.Savage, "Area-Time Tradeoffs for Matrix Multiplication and Related Problems in VLSI Models," Dept. of Comput. Sci., Brown Univ., Priovidence, R.I., Tech. Rep. CS-50, Aug. 1979.

    Google Scholar 

  11. J.E.Savage, "Planar Circuit Complexity and the Performance of VLSI Algorithms," INRIA Rapports de Recherche, No.77, April 1981.

    Google Scholar 

  12. C.D.Thompson, "A Complexity Theory for VLSI," Dept. of Comput. Sci., Carnegie-Mellon Univ., Pittsburgh, Pa., Tech. Rep. CMU-CS-80–140, Aug. 1980.

    Google Scholar 

  13. J.Vuillemin, "A Combinational Limit to the Computing Power of V.L.S.I. Circuits," IEEE 21st Annu. Symp. on FOCS, pp.294–300, Oct. 1980.

    Google Scholar 

  14. K. Wada, K. Hagihara and N. Tokura, "The Area-Time Complexity of n Variables Logical Functions," Trans. IECE Japan, Vol.J64-D, No.8, pp.676–681, Aug. 1981 (in Japanese).

    Google Scholar 

  15. K. Wada, K. Hagihara and N. Tokura, "The Area Complexity on a VLSI Model," Trans. IECE Japan, Vol. J65-D, No.4, pp.478–485, April 1982 (in Japanese).

    Google Scholar 

  16. K. Wada, K. Hagihara and N. Tokura, "Area and Time Complexities of VLSI Computations," Proc. of the 7th IBM Symp. on Math. Foundations of Comput. Sci., Math. Theory of Computations, IBM Japan, June 1982.

    Google Scholar 

  17. K.Wada, K.Hagihara and N.Tokura, "The Area Lower Bounds of Combinational Circuits on a VLSI Model," Papers of Tech. Group on Automat. and Lang., AL82-30, IECE Japan, Sept. 1982 (in Japanese).

    Google Scholar 

  18. H.Yasuura and S.Yajima, "On Embedding Problems of Logic Circuits in a VLSI Model," Papers of Tech. Group on Automat. and. Lang., AL81-49, IECE Japan, Sept. 1981 (in Japanese).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Eiichi Goto Koichi Furukawa Reiji Nakajima Ikuo Nakata Akinori Yonezawa

Rights and permissions

Reprints and permissions

Copyright information

© 1983 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Hagihara, K., Wada, K., Tokura, N. (1983). Effects of practical assumption in area complexity of VLSI computation. In: Goto, E., Furukawa, K., Nakajima, R., Nakata, I., Yonezawa, A. (eds) RIMS Symposia on Software Science and Engineering. Lecture Notes in Computer Science, vol 147. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-11980-9_20

Download citation

  • DOI: https://doi.org/10.1007/3-540-11980-9_20

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11980-7

  • Online ISBN: 978-3-540-39442-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics