On P-Interpolation in Local Theory Extensions and Applications to the Study of Interpolation in the Description Logics $$\mathcal{E}\mathcal{L}, \mathcal{E}\mathcal{L}^+$$

Author:

Peuter Dennis,Sofronie-Stokkermans VioricaORCID,Thunert Sebastian

Abstract

AbstractWe study theP-interpolation property for certain local theory extensions, and use these results for proving$$\le $$-interpolation in classes of semilattices with monotone operators. For computing the$$\le $$-interpolating terms, we use a hierarchic approach. We use these results for the study of$$\sqsubseteq $$-interpolation in the description logics$$\mathcal{E}\mathcal{L}$$ELand$$\mathcal{E}\mathcal{L}^+$$EL+.

Publisher

Springer Nature Switzerland

Reference34 articles.

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