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Test pattern generation using Boolean satisfiability

by Tracy Larrabee - IEEE Transactions on Computer-Aided Design , 1992
"... Abstract-This article describes the Boolean satisfiability method for generating test patterns for single stuck-at faults in combinational circuits. This new method generates test patterns in two steps: First, it constructs a formula expressing the Boolean diference between the unfaulted and faulted ..."
Abstract - Cited by 306 (14 self) - Add to MetaCart
and faulted circuits. Second, it applies a Boolean satisjiability algorithm to the resulting formula. This approach differs from previous methods now in use, which search the circuit structure directly instead of constructing a formula from it. The new method is general and effective: it allows

Graph-based algorithms for Boolean function manipulation

by Randal E. Bryant - IEEE TRANSACTIONS ON COMPUTERS , 1986
"... In this paper we present a new data structure for representing Boolean functions and an associated set of manipulation algorithms. Functions are represented by directed, acyclic graphs in a manner similar to the representations introduced by Lee [1] and Akers [2], but with further restrictions on th ..."
Abstract - Cited by 3526 (46 self) - Add to MetaCart
In this paper we present a new data structure for representing Boolean functions and an associated set of manipulation algorithms. Functions are represented by directed, acyclic graphs in a manner similar to the representations introduced by Lee [1] and Akers [2], but with further restrictions

Symbolic Boolean manipulation with ordered binary-decision diagrams

by Randal E Bryant - ACM COMPUTING SURVEYS , 1992
"... Ordered Binary-Decision Diagrams (OBDDS) represent Boolean functions as directed acyclic graphs. They form a canonical representation, making testing of functional properties such as satmfiability and equivalence straightforward. A number of operations on Boolean functions can be implemented as grap ..."
Abstract - Cited by 1036 (13 self) - Add to MetaCart
Ordered Binary-Decision Diagrams (OBDDS) represent Boolean functions as directed acyclic graphs. They form a canonical representation, making testing of functional properties such as satmfiability and equivalence straightforward. A number of operations on Boolean functions can be implemented

Learning quickly when irrelevant attributes abound: A new linear-threshold algorithm

by Nick Littlestone - Machine Learning , 1988
"... learning Boolean functions, linear-threshold algorithms Abstract. Valiant (1984) and others have studied the problem of learning various classes of Boolean functions from examples. Here we discuss incremental learning of these functions. We consider a setting in which the learner responds to each ex ..."
Abstract - Cited by 773 (5 self) - Add to MetaCart
learning Boolean functions, linear-threshold algorithms Abstract. Valiant (1984) and others have studied the problem of learning various classes of Boolean functions from examples. Here we discuss incremental learning of these functions. We consider a setting in which the learner responds to each

GRASP - A New Search Algorithm for Satisfiability

by Joso L Marques Silva , 1996
"... This paper introduces GRASP (Generic seaRch Algorithm for the Satisjiability Problem), an integrated algorithmic framework for SAT that un.$es several previously proposed searchpruning techniques and facilitates ident$cation of additional ones. GRASP is premised on the inevitability of confzicts dur ..."
Abstract - Cited by 449 (34 self) - Add to MetaCart
This paper introduces GRASP (Generic seaRch Algorithm for the Satisjiability Problem), an integrated algorithmic framework for SAT that un.$es several previously proposed searchpruning techniques and facilitates ident$cation of additional ones. GRASP is premised on the inevitability of confzicts

Efficient implementation of a BDD package

by Karl S. Brace, Richard L. Rudell, Randal E. Bryant - In Proceedings of the 27th ACM/IEEE conference on Design autamation , 1991
"... Efficient manipulation of Boolean functions is an important component of many computer-aided design tasks. This paper describes a package for manipulating Boolean functions based on the reduced, ordered, binary decision diagram (ROBDD) representation. The package is based on an efficient implementat ..."
Abstract - Cited by 504 (9 self) - Add to MetaCart
Efficient manipulation of Boolean functions is an important component of many computer-aided design tasks. This paper describes a package for manipulating Boolean functions based on the reduced, ordered, binary decision diagram (ROBDD) representation. The package is based on an efficient

Chaff: Engineering an Efficient SAT Solver

by Matthew W. Moskewicz , Conor F. Madigan, Ying Zhao, Lintao Zhang, Sharad Malik , 2001
"... Boolean Satisfiability is probably the most studied of combinatorial optimization/search problems. Significant effort has been devoted to trying to provide practical solutions to this problem for problem instances encountered in a range of applications in Electronic Design Automation (EDA), as well ..."
Abstract - Cited by 1350 (18 self) - Add to MetaCart
Boolean Satisfiability is probably the most studied of combinatorial optimization/search problems. Significant effort has been devoted to trying to provide practical solutions to this problem for problem instances encountered in a range of applications in Electronic Design Automation (EDA), as well

ROCK: A Robust Clustering Algorithm for Categorical Attributes

by Sudipto Guha, Rajeev Rastogi, Kyuseok Shim - In Proc.ofthe15thInt.Conf.onDataEngineering , 2000
"... Clustering, in data mining, is useful to discover distribution patterns in the underlying data. Clustering algorithms usually employ a distance metric based (e.g., euclidean) similarity measure in order to partition the database such that data points in the same partition are more similar than point ..."
Abstract - Cited by 446 (2 self) - Add to MetaCart
points in different partitions. In this paper, we study clustering algorithms for data with boolean and categorical attributes. We show that traditional clustering algorithms that use distances between points for clustering are not appropriate for boolean and categorical attributes. Instead, we propose a

An analysis of Bayesian classifiers

by Pat Langley, Wayne Iba, Kevin Thompson - IN PROCEEDINGS OF THE TENTH NATIONAL CONFERENCE ON ARTI CIAL INTELLIGENCE , 1992
"... In this paper we present anaverage-case analysis of the Bayesian classifier, a simple induction algorithm that fares remarkably well on many learning tasks. Our analysis assumes a monotone conjunctive target concept, and independent, noise-free Boolean attributes. We calculate the probability that t ..."
Abstract - Cited by 440 (17 self) - Add to MetaCart
In this paper we present anaverage-case analysis of the Bayesian classifier, a simple induction algorithm that fares remarkably well on many learning tasks. Our analysis assumes a monotone conjunctive target concept, and independent, noise-free Boolean attributes. We calculate the probability

Learning Decision Lists

by Ronald L. Rivest , 2001
"... This paper introduces a new representation for Boolean functions, called decision lists, and shows that they are efficiently learnable from examples. More precisely, this result is established for \k-DL" { the set of decision lists with conjunctive clauses of size k at each decision. Since k ..."
Abstract - Cited by 427 (0 self) - Add to MetaCart
This paper introduces a new representation for Boolean functions, called decision lists, and shows that they are efficiently learnable from examples. More precisely, this result is established for \k-DL" { the set of decision lists with conjunctive clauses of size k at each decision. Since
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