THE COMPLEXITY OF THE EVALUATION OF COMPLEX ALGEBRA EXPRESSIONS

Citation
D. Suciu et J. Paredaens, THE COMPLEXITY OF THE EVALUATION OF COMPLEX ALGEBRA EXPRESSIONS, Journal of computer and system sciences, 55(2), 1997, pp. 322-343
Citations number
20
Categorie Soggetti
System Science","Computer Science Hardware & Architecture","Computer Science Theory & Methods
ISSN journal
00220000
Volume
55
Issue
2
Year of publication
1997
Pages
322 - 343
Database
ISI
SICI code
0022-0000(1997)55:2<322:TCOTEO>2.0.ZU;2-0
Abstract
The Abiteboul and Beeri algebra for complex objects can express a quer y whose meaning is transitive closure, but the algorithm naturally ass ociated to this query needs exponential space. We show that any other query in the algebra which expresses transitive closure needs exponent ial space, under a ''call by value'' evaluation strategy. This proves that in general the powerset is an intractable operator for implementi ng fixpoint queries. (C) 1997 Academic Press.