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JSYML
2006
86views more  JSYML 2006»
13 years 4 months ago
Degrees of monotone complexity
Levin and Schnorr (independently) introduced the monotone complexity, Km(), of a binary string . We use monotone complexity to define the relative complexity (or relative randomnes...
William C. Calhoun
ICALP
2001
Springer
13 years 9 months ago
On Generating All Minimal Integer Solutions for a Monotone System of Linear Inequalities
We consider the problem of enumerating all minimal integer solutions of a monotone system of linear inequalities. We first show that for any monotone system of r linear inequaliti...
Endre Boros, Khaled M. Elbassioni, Vladimir Gurvic...
ECCC
2002
103views more  ECCC 2002»
13 years 4 months ago
Monotone complexity and the rank of matrices
We shall give simpler proofs of some lower bounds on monotone computations. We describe a simple condition on combinatorial structures, such that the rank of the matrix associated...
Pavel Pudlák
MFCS
2005
Springer
13 years 10 months ago
Complexity of DNF and Isomorphism of Monotone Formulas
We investigate the complexity of finding prime implicants and minimal equivalent DNFs for Boolean formulas, and of testing equivalence and isomorphism of monotone formulas. For DN...
Judy Goldsmith, Matthias Hagen, Martin Mundhenk