Power (Set) ALC

Laura Giordano, Alberto Policriti

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Abstract

The similarities between Description Logics (DLs) and Set Theory can be exploited to introduce in DLs a power-set concept and to allow for (possibly circular) membership relationships among arbitrary concepts. In this abstract, we describe the main ideas underlying the definition of ACC, a description logic combining ALC with fi, a very rudimentary axiomatic set theory, consisting of only four axioms characterizing binary union, set difference, inclusion, and the power-set. In ALC, concepts are naturally interpreted as sets living in Ω-models. The power-set concept and the membership axioms among concepts give useful metamodeling capabilities to the language.

Lingua originaleInglese
pagine (da-a)17-21
Numero di pagine5
RivistaCEUR Workshop Proceedings
Volume2214
Stato di pubblicazionePubblicato - 2018
Evento33rd Italian Conference on Computational Logic, CILC 2018 - Bolzano, Italy
Durata: 20 set 201822 set 2018

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