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» A New Rank Technique for Formula Size Lower Bounds
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ECCC
2010
124views more  ECCC 2010»
13 years 5 months ago
Lower Bounds and Hardness Amplification for Learning Shallow Monotone Formulas
Much work has been done on learning various classes of "simple" monotone functions under the uniform distribution. In this paper we give the first unconditional lower bo...
Vitaly Feldman, Homin K. Lee, Rocco A. Servedio
FOSSACS
2008
Springer
13 years 6 months ago
Optimal Lower Bounds on Regular Expression Size Using Communication Complexity
The problem of converting deterministic finite automata into (short) regular expressions is considered. It is known that the required expression size is 2(n) in the worst case for ...
Hermann Gruber, Jan Johannsen
COCO
2005
Springer
80views Algorithms» more  COCO 2005»
13 years 10 months ago
New Results on the Complexity of the Middle Bit of Multiplication
It is well known that the hardest bit of integer multiplication is the middle bit, i.e. MULn−1,n. This paper contains several new results on its complexity. First, the size s of...
Ingo Wegener, Philipp Woelfel
AML
2008
91views more  AML 2008»
13 years 5 months ago
On meta complexity of propositional formulas and propositional proofs
A new approach to defining complexity of propositional formulas and proofs is suggested. Instead of measuring the size of these syntactical structures in the propositional languag...
Pavel Naumov
STOC
2007
ACM
98views Algorithms» more  STOC 2007»
14 years 5 months ago
Negative weights make adversaries stronger
The quantum adversary method is one of the most successful techniques for proving lower bounds on quantum query complexity. It gives optimal lower bounds for many problems, has ap...
Peter Høyer, Troy Lee, Robert Spalek