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WILF
2009
Springer
216views Fuzzy Logic» more  WILF 2009»
14 years 22 days ago
Barycentric Algebras and Gene Expression
Barycentric algebras have seen widespread application in the modeling of convex sets, semilattices, and quantum mechanics. Recently, they were developed further to encompass Boolea...
Anna B. Romanowska, Jonathan D. H. Smith
ADBIS
2004
Springer
193views Database» more  ADBIS 2004»
13 years 10 months ago
Quantifier-Elimination for the First-Order Theory of Boolean Algebras with Linear Cardinality Constraints
Abstract. We present for the first-order theory of atomic Boolean algebras of sets with linear cardinality constraints a quantifier elimination algorithm. In the case of atomic Boo...
Peter Z. Revesz
WLP
2004
Springer
13 years 11 months ago
Solving Alternating Boolean Equation Systems in Answer Set Programming
Abstract. In this paper we apply answer set programming to solve alternating Boolean equation systems. We develop a novel characterization of solutions for variables in disjunctive...
Misa Keinänen, Ilkka Niemelä
AAAI
2006
13 years 7 months ago
Local-Search Techniques for Boolean Combinations of Pseudo-Boolean Constraints
Some search problems are most directly specified by boolean combinations of pseudo-boolean constraints. We study a logic PL(PB) whose formulas are of this form, and design local-s...
Lengning Liu, Miroslaw Truszczynski
CORR
2007
Springer
124views Education» more  CORR 2007»
13 years 6 months ago
Interpolation in Valiant's theory
We investigate the following question: if a polynomial can be evaluated at rational points by a polynomial-time boolean algorithm, does it have a polynomial-size arithmetic circuit...
Pascal Koiran, Sylvain Perifel