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Boolean Expression Diagrams

by Henrik Reif Andersen, Henrik Hulgaard , 1997
"... This paper presents a new data structure called Boolean Expression Diagrams (BEDs) for representing and manipulating Boolean functions. BEDs are a generalization of Binary Decision Diagrams (BDDs) which can represent any Boolean circuit in linear space and still maintain many of the desirable proper ..."
Abstract - Cited by 54 (5 self) - Add to MetaCart
This paper presents a new data structure called Boolean Expression Diagrams (BEDs) for representing and manipulating Boolean functions. BEDs are a generalization of Binary Decision Diagrams (BDDs) which can represent any Boolean circuit in linear space and still maintain many of the desirable

Indexing boolean expressions.

by Steven Euijong Whang , Hector Garcia-Molina , Chad Brower , Jayavel Shanmugasundaram , Sergei Vassilvitskii , Erik Vee , Ramana Yerneni - PVLDB, , 2009
"... ABSTRACT We consider the problem of efficiently indexing Disjunctive Normal Form (DNF) and Conjunctive Normal Form (CNF) Boolean expressions over a high-dimensional multi-valued attribute space. The goal is to rapidly find the set of Boolean expressions that evaluate to true for a given assignment ..."
Abstract - Cited by 22 (3 self) - Add to MetaCart
ABSTRACT We consider the problem of efficiently indexing Disjunctive Normal Form (DNF) and Conjunctive Normal Form (CNF) Boolean expressions over a high-dimensional multi-valued attribute space. The goal is to rapidly find the set of Boolean expressions that evaluate to true for a given assignment

Efficient Evaluation Of Boolean Expressions

by By Bryan, Bryan S. Todd, Bryan S. Todd
"... this paper we transfer ideas from bayesian network theory to present a general-purpose algorithm for evaluating boolean expressions. The algorithm is a special case of that due to Lauritzen and Spiegelhalter for propagating evidence through bayesian networks. The algorithm is efficient for a large c ..."
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this paper we transfer ideas from bayesian network theory to present a general-purpose algorithm for evaluating boolean expressions. The algorithm is a special case of that due to Lauritzen and Spiegelhalter for propagating evidence through bayesian networks. The algorithm is efficient for a large

Random Boolean expressions

by Danièle Gardy
"... We examine how we can define several probability distributions on the set of Boolean functions on a fixed number of variables, starting from a representation of Boolean expressions by trees. Analytic tools give us a systematic way to prove the existence of probability distributions, the main challen ..."
Abstract - Cited by 8 (2 self) - Add to MetaCart
We examine how we can define several probability distributions on the set of Boolean functions on a fixed number of variables, starting from a representation of Boolean expressions by trees. Analytic tools give us a systematic way to prove the existence of probability distributions, the main

Computing Boolean Expressions with OBDDs

by Thomas R. Shiple, Robert K. Brayton, Alberto L. Sangiovanni-vincentelli , 1993
"... We present a method to compute the bdd for an arbitrary Boolean expression, where the operands are themselves bdds. Such expressions are usually computed by the successive application of binary operators. However, cases exist where this method performs wasteful intermediate computations and creates ..."
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We present a method to compute the bdd for an arbitrary Boolean expression, where the operands are themselves bdds. Such expressions are usually computed by the successive application of binary operators. However, cases exist where this method performs wasteful intermediate computations and creates

Optimizing boolean expressions in object bases

by Alfons Kemper, Guido Moerkotte, Michael Steinbrunn - IN PROC. OF THE CONF. ON VERY LARGE DATA BASES (VLDB , 1992
"... In this paper we address the problem of optimizing the evaluation of boolean expressions in the context of object-oriented data modelling. We develop a new heuristic for optimizing the evaluation sequence of ..."
Abstract - Cited by 14 (8 self) - Add to MetaCart
In this paper we address the problem of optimizing the evaluation of boolean expressions in the context of object-oriented data modelling. We develop a new heuristic for optimizing the evaluation sequence of

Efficiently evaluating complex boolean expressions

by Marcus Fontoura, Suhas Sadanandan, Jayavel Shanmugasundaram, Sergei Vassilvitski, Erik Vee, Srihari Venkatesan, Jason Zien - In SIGMOD , 2010
"... The problem of efficiently evaluating a large collection of complex Boolean expressions – beyond simple conjunctions and Disjunctive/Conjunctive Normal Forms (DNF/CNF) – occurs in many emerging online advertising applications such as advertising exchanges and automatic targeting. The simple solution ..."
Abstract - Cited by 11 (2 self) - Add to MetaCart
The problem of efficiently evaluating a large collection of complex Boolean expressions – beyond simple conjunctions and Disjunctive/Conjunctive Normal Forms (DNF/CNF) – occurs in many emerging online advertising applications such as advertising exchanges and automatic targeting. The simple

Fault Class Prioritization in Boolean Expressions

by Ziyuan Wang
"... A recent study has classified faults in Boolean expressions into ten classes and has proved that there are five key fault classes, namely CCF, CDF, ORF, ENF and ASF, such that if a test suite can kill all faulty versions of these five core fault classes, if can kill all faulty versions of all fault ..."
Abstract - Cited by 2 (0 self) - Add to MetaCart
A recent study has classified faults in Boolean expressions into ten classes and has proved that there are five key fault classes, namely CCF, CDF, ORF, ENF and ASF, such that if a test suite can kill all faulty versions of these five core fault classes, if can kill all faulty versions of all fault

Dealing with Constraints in Boolean Expression Testing

by Angelo Gargantini
"... Abstract—When testing a Boolean expression, one should consider also the constraints among the variables contained in it. Constraints model interdependence among the conditions in the expressions. Only tests that satisfy the constraints. i.e. valid tests, are really useful and can be applied to test ..."
Abstract - Cited by 4 (2 self) - Add to MetaCart
Abstract—When testing a Boolean expression, one should consider also the constraints among the variables contained in it. Constraints model interdependence among the conditions in the expressions. Only tests that satisfy the constraints. i.e. valid tests, are really useful and can be applied

The Unison Algorithm: Fast Evaluation of Boolean Expressions

by Rok Sosic, Jun Gu, Robert R. Johnson , 1992
"... We present a Unison algorithm to evaluate Boolean expressions. This novel algorithm, based on the total differential of a Boolean function, enables fast evaluation of Boolean expressions in software. Any combination of Boolean operations can be packed into the bits of one computer word and evaluated ..."
Abstract - Cited by 9 (4 self) - Add to MetaCart
We present a Unison algorithm to evaluate Boolean expressions. This novel algorithm, based on the total differential of a Boolean function, enables fast evaluation of Boolean expressions in software. Any combination of Boolean operations can be packed into the bits of one computer word
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