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Circuit size is nonlinear in depth

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Valiant, Leslie and Paterson, Michael S. (1975) Circuit size is nonlinear in depth. University of Warwick. Department of Computer Science. (Theory of Computation Report). (Unpublished)

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Abstract

Two fundamental complexity measures for a Boolean function f are its circuit depth d(f) and its circuit size c(f). It is shown that c >=1/4 d.log2d for all f.

Item Type: Report
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Computer Science
Library of Congress Subject Headings (LCSH): Functions, Computational complexity
Series Name: Theory of Computation Report
Publisher: University of Warwick. Department of Computer Science
Official Date: September 1975
Dates:
DateEvent
September 1975["eprint_fieldopt_dates_date_type_available" not defined]
Date of first compliant deposit: 1 August 2016
Number: Number 8
Number of Pages: 5
DOI: CS-RR-008
Institution: University of Warwick
Theses Department: Department of Computer Science
Status: Not Peer Reviewed
Publication Status: Unpublished
Publisher Statement: L.G. Valiant and M.S. Paterson, Circuit Size is Nonlinear in Depth, Theoretical Computer Science 2 (3), pp. 397-400 (1976)
Access rights to Published version: Open Access
Version or Related Resource: Valiant, L.G. and Paterson, M.S. (1976). Circuit size is nonlinear in depth. Theoretical Computer Science, 2(3), pp. 397-400.

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