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FOSSACS
2008
Springer
13 years 9 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
STOC
2012
ACM
196views Algorithms» more  STOC 2012»
11 years 10 months ago
Time-space tradeoffs in resolution: superpolynomial lower bounds for superlinear space
We give the first time-space tradeoff lower bounds for Resolution proofs that apply to superlinear space. In particular, we show that there are formulas of size N that have Reso...
Paul Beame, Christopher Beck, Russell Impagliazzo
ECCC
2011
185views ECommerce» more  ECCC 2011»
13 years 2 months ago
Property Testing Lower Bounds via Communication Complexity
We develop a new technique for proving lower bounds in property testing, by showing a strong connection between testing and communication complexity. We give a simple scheme for r...
Eric Blais, Joshua Brody, Kevin Matulef
AIML
2004
13 years 9 months ago
A Lower Complexity Bound for Propositional Dynamic Logic with Intersection
This paper shows that satisfiability for Propositional Dynamic Logic with Intersection is EXPSPACE-hard. The proof uses a reduction from the word problem for alternating, exponent...
Martin Lange
ICALP
2001
Springer
14 years 13 hour ago
Improved Lower Bounds on the Randomized Complexity of Graph Properties
We prove a lower bound of (n4/3 log1/3 n) on the randomized decision tree complexity of any nontrivial monotone n-vertex graph property, and of any nontrivial monotone bipartite g...
Amit Chakrabarti, Subhash Khot