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» On the Learnability of Boolean Formulae
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JACM
2002
122views more  JACM 2002»
13 years 7 months ago
Cosmological lower bound on the circuit complexity of a small problem in logic
An exponential lower bound on the circuit complexity of deciding the weak monadic second-order theory of one successor (WS1S) is proved. Circuits are built from binary operations, ...
Larry J. Stockmeyer, Albert R. Meyer
STOC
2003
ACM
102views Algorithms» more  STOC 2003»
14 years 8 months ago
Some 3CNF properties are hard to test
For a Boolean formula on n variables, the associated property P is the collection of n-bit strings that satisfy . We study the query complexity of tests that distinguish (with hig...
Eli Ben-Sasson, Prahladh Harsha, Sofya Raskhodniko...
COLT
2006
Springer
13 years 11 months ago
DNF Are Teachable in the Average Case
We study the average number of well-chosen labeled examples that are required for a helpful teacher to uniquely specify a target function within a concept class. This "average...
Homin K. Lee, Rocco A. Servedio, Andrew Wan
CORR
2002
Springer
123views Education» more  CORR 2002»
13 years 7 months ago
Survey propagation: an algorithm for satisfiability
: We study the satisfiability of randomly generated formulas formed by M clauses of exactly K literals over N Boolean variables. For a given value of N the problem is known to be m...
Alfredo Braunstein, Marc Mézard, Riccardo Z...
DATE
2009
IEEE
113views Hardware» more  DATE 2009»
14 years 2 months ago
Exploiting structure in an AIG based QBF solver
—In this paper we present a procedure for solving quantified boolean formulas (QBF), which uses And-Inverter Graphs (AIGs) as the core data-structure. We make extensive use of s...
Florian Pigorsch, Christoph Scholl