On P-Interpolation in Local Theory Extensions and Applications to the Study of Interpolation in the Description Logics ℒ, ℒ.

Dennis Peuter,Viorica Sofronie-Stokkermans,Sebastian Thunert

CoRR（2023）

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摘要

We study the P -interpolation property for certain local theory extensions, and use these results for proving ≤ -interpolation in classes of semilattices with monotone operators. For computing the ≤ -interpolating terms, we use a hierarchic approach. We use these results for the study of ⊑ -interpolation in the description logics E L and E L + .

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