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ICCD
2003
IEEE
127views Hardware» more  ICCD 2003»
14 years 3 months ago
Structural Detection of Symmetries in Boolean Functions
Functional symmetries provide significant benefits for multiple tasks in synthesis and verification. Many applications require the manual specification of symmetries using spe...
Guoqiang Wang, Andreas Kuehlmann, Alberto L. Sangi...
FOCS
1991
IEEE
13 years 9 months ago
Lower Bounds for the Complexity of Reliable Boolean Circuits with Noisy Gates
We prove that the reliable computation of any Boolean function with sensitivity s requires Ω(s log s) gates if the gates of the circuit fail independently with a fixed positive...
Anna Gál
FOCS
2007
IEEE
13 years 10 months ago
Discrepancy and the Power of Bottom Fan-in in Depth-three Circuits
We develop a new technique of proving lower bounds for the randomized communication complexity of boolean functions in the multiparty `Number on the Forehead' model. Our meth...
Arkadev Chattopadhyay
STOC
1996
ACM
97views Algorithms» more  STOC 1996»
13 years 10 months ago
Deterministic Restrictions in Circuit Complexity
We study the complexity of computing Boolean functions using AND, OR and NOT gates. We show that a circuit of depth d with S gates can be made to output a constant by setting O(S1...
Shiva Chaudhuri, Jaikumar Radhakrishnan
CF
2008
ACM
13 years 8 months ago
Exact combinational logic synthesis and non-standard circuit design
Using a new exact synthesizer that automatically induces minimal universal boolean function libraries, we introduce two indicators for comparing their expressiveness: the first ba...
Paul Tarau, Brenda Luderman