On Core XPath with Inflationary Fixed Points

Loredana Afanasiev; Balder Ten Cate

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications (2013)

  • Volume: 47, Issue: 1, page 3-23
  • ISSN: 0988-3754

Abstract

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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.

How to cite

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Afanasiev, Loredana, and Cate, Balder Ten. "On Core XPath with Inflationary Fixed Points." RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications 47.1 (2013): 3-23. <http://eudml.org/doc/272985>.

@article{Afanasiev2013,
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.},
author = {Afanasiev, Loredana, Cate, Balder Ten},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications},
keywords = {modal logic; fixed points; XML databases; XPath; Xpath},
language = {eng},
number = {1},
pages = {3-23},
publisher = {EDP-Sciences},
title = {On Core XPath with Inflationary Fixed Points},
url = {http://eudml.org/doc/272985},
volume = {47},
year = {2013},
}

TY - JOUR
AU - Afanasiev, Loredana
AU - Cate, Balder Ten
TI - On Core XPath with Inflationary Fixed Points
JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY - 2013
PB - EDP-Sciences
VL - 47
IS - 1
SP - 3
EP - 23
AB - 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.
LA - eng
KW - modal logic; fixed points; XML databases; XPath; Xpath
UR - http://eudml.org/doc/272985
ER -

References

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