2003 | OriginalPaper | Buchkapitel
Counting and Equality Constraints for Multitree Automata
verfasst von : Denis Lugiez
Erschienen in: Foundations of Software Science and Computation Structures
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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Multitree are unranked, unordered trees and occur in many Computer Science applications like rewriting and logic, knowledge representation, XML queries, typing for concurrent systems, cryptographic protocols.... We define constrained multitree automata which accept sets of multitrees where the constraints are expressed in a first-order theory of multisets with counting formulae which is very expressive and decidable. The resulting class of multitree automata is closed under boolean combination, has a decidable emptiness problem and we show that this class strictly embeds all previous classes of similar devices which have been defined for a whole variety of applications.