Jurdzinski, Marcin and Lazic, Ranko. (2011) Alternating automata on data trees and XPath satisfiability. ACM Transactions on Computational Logic (TOCL), Vol.12 (No.3). pp. 1-21. ISSN 1529-3785

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Abstract

A data tree is an unranked ordered tree whose every node is labeled by a letter from a finite alphabet and an element ("datum") from an infinite set, where the latter can only be compared for equality. The article considers alternating automata on data trees that can move downward and rightward, and have one register for storing data. The main results are that nonemptiness over finite data trees is decidable but not primitive recursive, and that nonemptiness of safety automata is decidable but not elementary. The proofs use nondeterministic tree automata with faulty counters. Allowing upward moves, leftward moves, or two registers, each causes undecidability. As corollaries, decidability is obtained for two data-sensitive fragments of the XPath query language.

Item Type:	Journal Article
Divisions:	Faculty of Science > Computer Science
Journal or Publication Title:	ACM Transactions on Computational Logic (TOCL)
Publisher:	Association for Computing Machinery, Inc.
ISSN:	1529-3785
Date:	2011
Volume:	Vol.12
Number:	No.3
Page Range:	pp. 1-21
Identification Number:	10.1145/1929954.1929956
Status:	Peer Reviewed
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/41430

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