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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 (Unpublished)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 |
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| 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 |
| Number: | Number 8 |
| Number of Pages: | 5 |
| Identification Number: | CS-RR-008 |
| Institution: | University of Warwick |
| Theses Department: | Department of Computer Science |
| Status: | Not Peer Reviewed |
| Publication Status: | Unpublished |
| 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. |
| URI: | http://wrap.warwick.ac.uk/id/eprint/46306 |
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