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On Core XPath with Inflationary Fixed Points∗

Published online by Cambridge University Press:  19 December 2012

Loredana Afanasiev  and
Balder ten Cate
Loredana Afanasiev
Affiliation:
Google Inc., 1600 Amphitheatre Parkway, Mountain View, CA 94043, USA. loredana.afanasiev@gmail.com
Balder ten Cate
Affiliation:
Department of Computer Science, University of California at Santa Cruz, 1156 High Street, Santa Cruz, CA 95064, USA.; btencate@ucsc.edu
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Abstract

We prove the undecidability of Core XPath 1.0 (CXP) [G. Gottlob and C. Koch, in Proc. of 17th Ann. IEEE Symp. on Logic in Computer Science, LICS ’02 (Copenhagen, July 2002). IEEE CS Press (2002) 189–202.] extended with an Inflationary Fixed Point (IFP) operator. More specifically, we prove that the satisfiability problem of this language is undecidable. In fact, the fragment of CXP+IFP containing only the self and descendant axes is already undecidable.

Keywords

Modal Logicfixed pointsXML DatabasesXPath
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 47 , Issue 1: 6th Workshop on Fixed Points in Computer Science (FICS'09) , January 2013 , pp. 3 - 23
Copyright
© EDP Sciences 2012

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