Axiomatizations for downward XPath on data trees
We give sound and complete axiomatizations for XPath with data tests by ‘equality’ or ‘inequality’, and containing the single ‘child’ axis. This data-aware logic predicts over data trees, which are tree-like structures whose every node contains a label from a finite alphabet and a data value from an...
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paper:paper_00220000_v89_n_p209_Abriola2023-06-08T14:45:04Z Axiomatizations for downward XPath on data trees Figueira, Santiago Daniel Axiomatization Data tree Modal logic Normal form Query language XML XPath Computer circuits Query languages XML Axiomatization Data tree Modal logic Normal form XPath Trees (mathematics) We give sound and complete axiomatizations for XPath with data tests by ‘equality’ or ‘inequality’, and containing the single ‘child’ axis. This data-aware logic predicts over data trees, which are tree-like structures whose every node contains a label from a finite alphabet and a data value from an infinite domain. The language allows us to compare data values of two nodes but cannot access the data values themselves (i.e. there is no comparison by constants). Our axioms are in the style of equational logic, extending the axiomatization of data-oblivious XPath, by B. ten Cate, T. Litak and M. Marx. We axiomatize the full logic with tests by ‘equality’ and ‘inequality’, and also a simpler fragment with ‘equality’ tests only. Our axiomatizations apply both to node expressions and path expressions. The proof of completeness relies on a novel normal form theorem for XPath with data tests. © 2017 Elsevier Inc. Fil:Figueira, S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2017 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00220000_v89_n_p209_Abriola http://hdl.handle.net/20.500.12110/paper_00220000_v89_n_p209_Abriola |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
topic |
Axiomatization Data tree Modal logic Normal form Query language XML XPath Computer circuits Query languages XML Axiomatization Data tree Modal logic Normal form XPath Trees (mathematics) |
spellingShingle |
Axiomatization Data tree Modal logic Normal form Query language XML XPath Computer circuits Query languages XML Axiomatization Data tree Modal logic Normal form XPath Trees (mathematics) Figueira, Santiago Daniel Axiomatizations for downward XPath on data trees |
topic_facet |
Axiomatization Data tree Modal logic Normal form Query language XML XPath Computer circuits Query languages XML Axiomatization Data tree Modal logic Normal form XPath Trees (mathematics) |
description |
We give sound and complete axiomatizations for XPath with data tests by ‘equality’ or ‘inequality’, and containing the single ‘child’ axis. This data-aware logic predicts over data trees, which are tree-like structures whose every node contains a label from a finite alphabet and a data value from an infinite domain. The language allows us to compare data values of two nodes but cannot access the data values themselves (i.e. there is no comparison by constants). Our axioms are in the style of equational logic, extending the axiomatization of data-oblivious XPath, by B. ten Cate, T. Litak and M. Marx. We axiomatize the full logic with tests by ‘equality’ and ‘inequality’, and also a simpler fragment with ‘equality’ tests only. Our axiomatizations apply both to node expressions and path expressions. The proof of completeness relies on a novel normal form theorem for XPath with data tests. © 2017 Elsevier Inc. |
author |
Figueira, Santiago Daniel |
author_facet |
Figueira, Santiago Daniel |
author_sort |
Figueira, Santiago Daniel |
title |
Axiomatizations for downward XPath on data trees |
title_short |
Axiomatizations for downward XPath on data trees |
title_full |
Axiomatizations for downward XPath on data trees |
title_fullStr |
Axiomatizations for downward XPath on data trees |
title_full_unstemmed |
Axiomatizations for downward XPath on data trees |
title_sort |
axiomatizations for downward xpath on data trees |
publishDate |
2017 |
url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00220000_v89_n_p209_Abriola http://hdl.handle.net/20.500.12110/paper_00220000_v89_n_p209_Abriola |
work_keys_str_mv |
AT figueirasantiagodaniel axiomatizationsfordownwardxpathondatatrees |
_version_ |
1768545724198289408 |