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» Lattice-based computation of Boolean functions
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UC
2005
Springer
14 years 1 months ago
On Computational Complexity of Counting Fixed Points in Symmetric Boolean Graph Automata
Abstract. We study computational complexity of counting the fixed point configurations (FPs) in certain classes of graph automata viewed as discrete dynamical systems. We prove t...
Predrag T. Tosic, Gul A. Agha
DAC
2008
ACM
14 years 8 months ago
Bi-decomposing large Boolean functions via interpolation and satisfiability solving
Boolean function bi-decomposition is a fundamental operation in logic synthesis. A function f(X) is bi-decomposable under a variable partition XA, XB, XC on X if it can be written...
Ruei-Rung Lee, Jie-Hong Roland Jiang, Wei-Lun Hung
LPAR
2001
Springer
14 years 10 hour ago
Boolean Functions for Finite-Tree Dependencies
Several logic-based languages, such as Prolog II and its successors, SICStus Prolog and Oz, offer a computation domain including rational trees. Infinite rational trees allow fo...
Roberto Bagnara, Enea Zaffanella, Roberta Gori, Pa...
RANDOM
2001
Springer
14 years 3 hour ago
Proclaiming Dictators and Juntas or Testing Boolean Formulae
We consider the problem of determining whether a given function ¢ £ ¤¥ ¦ §¨©  ¤¥ ¦ §¨ belongs to a certain class of Boolean functions  or whether it is far from the...
Michal Parnas, Dana Ron, Alex Samorodnitsky
ICALP
2009
Springer
14 years 7 months ago
Testing Fourier Dimensionality and Sparsity
We present a range of new results for testing properties of Boolean functions that are defined in terms of the Fourier spectrum. Broadly speaking, our results show that the propert...
Parikshit Gopalan, Ryan O'Donnell, Rocco A. Served...