Anumber of results relative to the complexity of terminologicallogics have recently appeared in the literature. Unfortunately, most of these results are ``negative",as they show that, in the logics they refer to, deciding{\em subsumption} is intractable. In this paper weshow that computing subsumption is $O(n^{2})$ in ${\calBrachman84}^{{\cal N}-}$, a logic obtained by adding the twooperators {\bf atleast} and {\bf atmost}, which allowthe specification of number restrictions, to Brachmanand Levesque's ${\cal Brachman84}^{-}$ logic.

On the tractability of terminological logics with numerical restrictions

Sebastiani F.;Straccia U.
1992

Abstract

Anumber of results relative to the complexity of terminologicallogics have recently appeared in the literature. Unfortunately, most of these results are ``negative",as they show that, in the logics they refer to, deciding{\em subsumption} is intractable. In this paper weshow that computing subsumption is $O(n^{2})$ in ${\calBrachman84}^{{\cal N}-}$, a logic obtained by adding the twooperators {\bf atleast} and {\bf atmost}, which allowthe specification of number restrictions, to Brachmanand Levesque's ${\cal Brachman84}^{-}$ logic.
1992
Istituto di Scienza e Tecnologie dell'Informazione "Alessandro Faedo" - ISTI
Artificial Intelligence
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/121221
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