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On the expressiveness of probabilistic XML models

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Abstract

Various known models of probabilistic XML can be represented as instantiations of the abstract notion of p-documents. In addition to ordinary nodes, p-documents have distributional nodes that specify the possible worlds and their probabilistic distribution. Particular families of p-documents are determined by the types of distributional nodes that can be used as well as by the structural constraints on the placement of those nodes in a p-document. Some of the resulting families provide natural extensions and combinations of previously studied probabilistic XML models. The focus of the paper is on the expressive power of families of p-documents. In particular, two main issues are studied. The first is the ability to (efficiently) translate a given p-document of one family into another family. The second is closure under updates, namely, the ability to (efficiently) represent the result of updating the instances of a p-document of a given family as another p-document of that family. For both issues, we distinguish two variants corresponding to value-based and object-based semantics of p-documents.

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Authors and Affiliations

  1. INRIA Saclay, Île-de-France, Orsay, France

    Serge Abiteboul

  2. Université Paris-Sud, Orsay, France

    Serge Abiteboul

  3. IBM Almaden Research Center, San Jose, USA

    Benny Kimelfeld

  4. Hebrew University of Jerusalem, Jerusalem, Israel

    Yehoshua Sagiv

  5. Institut Télécom, Télécom ParisTech, CNRS LTCI, Paris, France

    Pierre Senellart

Authors
  1. Serge Abiteboul
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  2. Benny Kimelfeld
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  3. Yehoshua Sagiv
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  4. Pierre Senellart
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Corresponding author

Correspondence to Benny Kimelfeld.

Additional information

Some of the results described in this paper were reported in [1,2].

The work of Abiteboul and Senellart was supported by the Agence Nationale de la Recherche under grant Docflow O6-MDCA-005, and by the Webdam Grant of the European Research Council.

Some of the work of Benny Kimelfeld was done while he was at The Hebrew University.

The work of Kimelfeld and Sagiv was supported by The Israel Science Foundation (Grant 893/05).

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Abiteboul, S., Kimelfeld, B., Sagiv, Y. et al. On the expressiveness of probabilistic XML models. The VLDB Journal 18, 1041–1064 (2009). https://doi.org/10.1007/s00778-009-0146-1

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  • DOI: https://doi.org/10.1007/s00778-009-0146-1

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