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  Hybridizing concept languages

Tzakova, M., & Blackburn, P.(1998). Hybridizing concept languages (MPI-I-1998-2-017). Saarbrücken: Max-Planck-Institut für Informatik.

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Tzakova, Miroslava1, Author              
Blackburn, Patrick2, Author
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1Programming Logics, MPI for Informatics, Max Planck Society, ou_40045              
2External Organizations, ou_persistent22              

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 Abstract: This paper shows how to increase the expressivity of concept languages using a strategy called {\em hybridization}. Building on the well-known correspondences between modal and description logics, two {\em hybrid languages\/} are defined. These languages are called `hybrid' because, as well as the familiar propositional variables and modal operators, they also contain {\em variables across individuals\/} and a binder that {\em binds\/} these variables. As is shown, combining aspects of modal and first-order logic in this manner allows the expressivity of concept languages to be boosted in a natural way, making it possible to define number restrictions, collections of individuals, irreflexivity of roles, and TBox- and ABox-statements. Subsequent addition of the {\em universal modality\/} allows the notion of subsumption to be internalized, and enables the representation of queries to arbitrary first-order knowledge bases. The paper notes themes shared by the hybrid and concept language literatures, and draws attention to a little-known body of work by the late Arthur Prior.

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Language(s): eng - English
 Dates: 1998
 Publication Status: Published in print
 Pages: 33 p.
 Publishing info: Saarbrücken : Max-Planck-Institut für Informatik
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 Identifiers: Report Nr.: MPI-I-1998-2-017
BibTex Citekey: TzakovaBlackburn98
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Title: Research Report / Max-Planck-Institut für Informatik
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