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» On the Learnability of Boolean Formulae
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APAL
2004
73views more  APAL 2004»
13 years 7 months ago
Shrinking games and local formulas
Gaifman's normal form theorem showed that every first order sentence of quantifier rank n is equivalent to a Boolean combination of "scattered local sentences", whe...
H. Jerome Keisler, Wafik Boulos Lotfallah
ICANN
2003
Springer
14 years 26 days ago
Learning Rule Representations from Boolean Data
We discuss a Probably Approximate Correct (PAC) learning paradigm for Boolean formulas, which we call PAC meditation, where the class of formulas to be learnt is not known in advan...
Bruno Apolloni, Andrea Brega, Dario Malchiodi, Gio...
TCS
2010
13 years 6 months ago
Translating propositional extended conjunctions of Horn clauses into Boolean circuits
Horn⊃ is a logic programming language which extends usual Horn clauses by adding intuitionistic implication in goals and clause bodies. This extension can be seen as a form of s...
Joxe Gaintzarain, Montserrat Hermo, Paqui Lucio, M...
FOCS
2007
IEEE
14 years 2 months ago
Polylogarithmic Independence Can Fool DNF Formulas
We show that any k-wise independent probability distribution on {0, 1}n O(m2.22− √ k/10)fools any boolean function computable by an m-clause DNF (or CNF) formula on n variable...
Louay Bazzi