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  ECCC

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by Avi Wigderson
ftp://ftp.informatik.uni-trier.de/pub/Users-CTVD/eccc/reports/1995/TR95-049/Paper.ps
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Abstract:

Boolean complexity classes vs. their arithmetic analogs

Citations

239 Algebraic methods in the theory of lower bounds for boolean circuit complexity. 19th STOC – Smolensky - 1987
195 A taxonomy of problems with fast parallel algorithms – Cook - 1985
172 NP is as easy as detecting unique solutions – Valiant, Vazirani - 1986
119 Matching is as easy as matrix inversion – Mulmuley, Vazirani, et al. - 1987
108 On span programs – Karchmer, Wigderson - 1993
70 Lower bounds for the size of circuits of bounded depth with basis – Razborov - 1987
69 On relating time and space to size and depth – Borodin - 1977
65 On the tape complexity of deterministic context-free languages – Sudborough - 1978
58 Tree-size bounded alternation – Ruzzo - 1980
57 A complexity theory based on Boolean algebra – Skyum, Valiant - 1985
55 Properties that Characterize LOGCFL – Venkateswaran - 1991
52 Two Applications of Inductive Counting for Complementation Problems – Borodin, Cook, et al. - 1989
35 Structure and importance of the logspace-mod class – Buntrock, Damm, et al. - 1992
30 Upper and Lower Bounds for First Order Expressibility – Immerman - 1982
15 Depth reduction for noncommutative arithmetic circuits – Allender, Jiao - 1993
13 NL=poly ` \PhiL=poly – Wigderson - 1994
8 Semi-unbounded fan-in circuits: Boolean vs. arithmetic – G'al - 1995
3 Boolean circuits versus arithmetic circuits – Gathen, Seroussi - 1991