Results 161 to 170 of about 1,765 (205)
The shortest disjunctive normal form of a random Boolean function
AbstractThis paper gives a new upper bound for the average length ℓ(n) of the shortest disjunctive normal form for a random Boolean function of n arguments, as well as new proofs of two old results related to this quantity. We consider a random Boolean function of n arguments to be uniformly distributed over all 2 such functions. (This is equivalent to
Nicholas Pippenger
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KeyNote Policy Files and Conversion to Disjunctive Normal Form for Use in IPsec [PDF]
We describe a utility for converting a KeyNote policy file to Disjunctive Normal Form, so that it can be further utilized in our research on Quality of Security Service for IPsec.
Evdoxia Spyropoulou +2 more
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Length of prime disjunctive normal forms
Mathematical Notes, 1967The author presents an example of a Logical function of n variables that has a prime disjunctive normal form that asymptotically contains 2n terms. Bibliography of 2 references.
V V Glagolev, Glagolev V V
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Duality and pseudo duality of dual disjunctive normal forms
Knowledge-Based Systems, 2011The paper introduces the concepts of dual disjunctive normal forms in classical logic and fuzzy logics with involution negation. The laws of their truth values are studied. One is called duality, the other is called pseudo duality. Dual disjunctive normal forms in classical logic hold duality, and dual disjunctive normal forms in fuzzy logics with ...
Xingfang Zhang
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Minimal Disjunctive Normal Forms
The optimization of Boolean functions is a wide field. One of the few regions where results have achieved a definite appraisal is the minimization of DNFs. Primarily developed for switching circuit synthesis, it has become of some importance also in fault tree analysis (in reliability theory).
Winfrid G. Schneeweiß
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On the Complexity of Dualization of Monotone Disjunctive Normal Forms
Journal of Algorithms, 1996Summary: We show that the duality of a pair of monotone disjunctive normal forms of size \(n\) can be tested in \(n^{o(\log n)}\) time.
Michael L. Fredman, Leonid Khachiyan
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Detection of Disjunctive Normal Form Predicate in Distributed Systems
Predicate detection in a distributed system is an important problem. It is useful in debugging and testing of the distributed system. Two modalities are introduced for predicate detection by Cooper and Marzullo. They are denoted by Possibly and Definitely.
Hongtao Huang
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