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» Superpolynomial Lower Bounds for Monotone Span Programs
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STOC
2010
ACM
244views Algorithms» more  STOC 2010»
14 years 3 months ago
Improving Exhaustive Search Implies Superpolynomial Lower Bounds
The P vs NP problem arose from the question of whether exhaustive search is necessary for problems with short verifiable solutions. We do not know if even a slight algorithmic imp...
Ryan Williams
FOCS
1998
IEEE
13 years 9 months ago
Exponential Separations between Restricted Resolution and Cutting Planes Proof Systems
We prove an exponential lower bound for tree-like Cutting Planes refutations of a set of clauses which has polynomial size resolution refutations. This implies an exponential sepa...
Maria Luisa Bonet, Juan Luis Esteban, Nicola Gales...
CORR
2011
Springer
169views Education» more  CORR 2011»
13 years 1 months ago
Lower bound for deterministic semantic-incremental branching programs solving GEN
We answer a problem posed in [GKM08] regarding a restricted model of small-space computation, tailored for solving the GEN problem. They define two variants of “incremental bra...
Dustin Wehr
STACS
2009
Springer
14 years 28 days ago
A Stronger LP Bound for Formula Size Lower Bounds via Clique Constraints
We introduce a new technique proving formula size lower bounds based on the linear programming bound originally introduced by Karchmer, Kushilevitz and Nisan [11] and the theory of...
Kenya Ueno
ICALP
2001
Springer
13 years 10 months 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