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Logic Journal of IGPL Advance Access published online on September 29, 2006
Logic Journal of IGPL, doi:10.1093/jigpal/jzl010
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© The Author, 2006. Published by Oxford University Press. All rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org
Received August 1, 2005

Original Papers

Querying Hyperset/Web-Like Databases

Vladimir Sazonov 1 *

1 Department of Computer Science, University of Liverpool, Liverpool L69 7ZF, U.K.

* To whom correspondence should be addressed.
Vladimir Sazonov, E-mail: v.sazonov{at}csc.liv.ac.uk


  Abstract

Hyperset approach to Web-like (semistructured) databases is presented in a simple and intuitive way, hopefully for a wider audience, with demonstrating how this abstract view can be represented in concrete terms of set equations distributed between many hyperlinked HTML files of a particular form. Detailed, bisimulation invariant operational semantics of hyperset query language {Delta} is defined by means of reduction rules transforming such systems of set equations. The high expressive power of this language, formerly characterised by using the technique of descriptive complexity theory, is illustrated by defining formal semantics of path expressions, as well as of other known languages UnQL and UnCAL. A "horizontal", stronger alternative to structural recursion of UnCAL is introduced, both definable in {Delta}.

Keywords: Semistructured or Web-like databases; hypersets; non-well-founded sets; bisimulation; query language; Delta; UnQL; UnCAL; expressive power; path expressions; structural recursion.
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