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Volumn 3, Issue 3, 1993, Pages 262-291

Shallow circuits and concise formulae for multiple addition and multiplication

Author keywords

carry save addition; circuits; formulae; Multiplication; Subject classifications: 68Q25, 06E30, 94C10

Indexed keywords


EID: 0039033999     PISSN: 10163328     EISSN: 14208954     Source Type: Journal    
DOI: 10.1007/BF01271371     Document Type: Article
Times cited : (12)

References (22)
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    • P. E. Dunne, The Complexity of Boolean Networks, Academic Press, 1988.
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    • E. Grove, Proofs with potential, Ph.D. thesis, U.C. Berkeley, May 1993.
  • 13
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    • J. von Neumann, O. Morgenstern, Theory of Games and Economic Behavior, Princeton Univ. Press, 1944.
  • 14
    • 84934560670 scopus 로고    scopus 로고
    • M. S. Paterson, New bounds on formula size, Proc. 3rd GI Conf. Theoret. Comput. Sci. 1977, Lecture Notes in Computer Science48, Springer-Verlag 1977, 17–26.
  • 15
    • 84934560669 scopus 로고    scopus 로고
    • M. S. Paterson, N. Pippenger, and U. Zwick, Faster circuits and shorter formulae for multiple addition, multiplication and symmetric Boolean functions, Proc. 31st Ann. IEEE Symp. Found. Comput. Sci., 1990, 642–650.
  • 16
    • 84934560668 scopus 로고    scopus 로고
    • M. S. Paterson, N. Pippenger, and U. Zwick, Optimal carry save networks, in Boolean function complexity, M. S. Paterson, ed., LMS Lecture Note Series 169, Cambridge University Press, 1992, 1742-0201.
  • 17
    • 84934560662 scopus 로고    scopus 로고
    • M. S. Paterson, U. Zwick, Shallow multiplication circuits, Proc. ARITH-10, (10th Ann. IEEE Symp. Computer Arithmetic), 1991, 28–34.
  • 18
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    • M. S. Paterson, U. Zwick, Shallow multiplication circuits and wise financial investments, Proc. 24th Ann. ACM Symp. Theor. Comput., 1992, 429–437.
  • 19
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    • G. L. Peterson, An upper bound on the size of formulae for symmetric Boolean functions, TR 78-03-01, University of Washington, 1978.
  • 20
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    • N. Pippenger, Short formulae for symmetric functions, IBM report RC 5143, Yorktown Heights, N. Y., 1974.
  • 22
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    • I. Wegener, The Complexity of Boolean Functions, Wiley-Teubner Series in Computer Science, 1987.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.