TY - GEN
T1 - The def-inite approach to dependency analysis
AU - Genaim, Samir
AU - Codish, Michael
N1 - Publisher Copyright:
© Springer-Verlag Berlin Heidelberg 2001.
PY - 2001/1/1
Y1 - 2001/1/1
N2 - We propose a new representation for the domain of Definite Boolean functions. The key idea is to view the set of models of a Boolean function as an incidence relation between variables and models. This enables two dual representations: the usual one, in terms of models, specifying which variables they contain; and the other in terms of variables, specifying which models contain them. We adopt the dual representation which provides a clean theoretical basis for the definition of efficient operations on Def in terms of classic ACI1 unification theory. Our approach illustrates in an interesting way the relation of Def to the well-known set-Sharing domain which can also be represented in terms of sets of models and ACI1 unification. From the practical side, a proto-type implementation provides promising results which indicate that this representation supports efficient groundness analysis using Def formula. Moreover, widening on this representation is easily defined.
AB - We propose a new representation for the domain of Definite Boolean functions. The key idea is to view the set of models of a Boolean function as an incidence relation between variables and models. This enables two dual representations: the usual one, in terms of models, specifying which variables they contain; and the other in terms of variables, specifying which models contain them. We adopt the dual representation which provides a clean theoretical basis for the definition of efficient operations on Def in terms of classic ACI1 unification theory. Our approach illustrates in an interesting way the relation of Def to the well-known set-Sharing domain which can also be represented in terms of sets of models and ACI1 unification. From the practical side, a proto-type implementation provides promising results which indicate that this representation supports efficient groundness analysis using Def formula. Moreover, widening on this representation is easily defined.
UR - http://www.scopus.com/inward/record.url?scp=84945267421&partnerID=8YFLogxK
U2 - 10.1007/3-540-45309-1_28
DO - 10.1007/3-540-45309-1_28
M3 - Conference contribution
AN - SCOPUS:84945267421
SN - 3540418628
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 417
EP - 431
BT - Programming Languages and Systems - 10th European Symposium on Programming, ESOP 2001 Held as Part of the Joint European Conferences on Theory and Practice of Software, ETAPS 2001, Proceedings
A2 - Sands, David
PB - Springer Verlag
T2 - 10th European Symposium on Programming, ESOP 2001 Held as Part of the Joint European Conferences on Theory and Practice of Software, ETAPS 2001
Y2 - 2 April 2001 through 6 April 2001
ER -