A Temporal Description Logic for Reasoning over Conceptual Schemas and Queries
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Abstract
This paper introduces a new logical formalism, intended for temporal conceptual modelling, as a natural combination of the well-known description logic \( \mathcal{D}\mathcal{L}\mathcal{R} \)and point-based linear temporal logic with Since and Until.We define a query language (where queries are non-recursive Datalog programs and atoms are complex \( \mathcal{D}\mathcal{L}\mathcal{R}_{\mathcal{U}\mathcal{S}} \) expressions) and investigate the problem of checking query containment under the constraints defined by \( \mathcal{D}\mathcal{L}\mathcal{R}_{\mathcal{U}\mathcal{S}} \) conceptual schemas—i.e., \( \mathcal{D}\mathcal{L}\mathcal{R}_{\mathcal{U}\mathcal{S}} \) knowledge bases—as well as the problems of schema satisfiability and logical implication.
Keywords
Temporal Logic Description Logic Conceptual Schema Atomic Formula Logical Implication
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