Computer Science – Logic in Computer Science
Scientific paper
2001-10-09
Computer Science
Logic in Computer Science
58 pages, 9 figures, 1 table. To appear in Theory and Practice of Logic Programming (TPLP)
Scientific paper
The unification problem in algebras capable of describing sets has been tackled, directly or indirectly, by many researchers and it finds important applications in various research areas--e.g., deductive databases, theorem proving, static analysis, rapid software prototyping. The various solutions proposed are spread across a large literature. In this paper we provide a uniform presentation of unification of sets, formalizing it at the level of set theory. We address the problem of deciding existence of solutions at an abstract level. This provides also the ability to classify different types of set unification problems. Unification algorithms are uniformly proposed to solve the unification problem in each of such classes. The algorithms presented are partly drawn from the literature--and properly revisited and analyzed--and partly novel proposals. In particular, we present a new goal-driven algorithm for general ACI1 unification and a new simpler algorithm for general (Ab)(Cl) unification.
Dovier Agostino
Pontelli Enrico
Rossi Gianfranco
No associations
LandOfFree
Set Unification does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Set Unification, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Set Unification will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-396315