A General Sufficient Condition for Rewriting Horn-ALCHI Atomic Queries into GQL
- URL: http://arxiv.org/abs/2608.04945v1
- Date: Wed, 05 Aug 2026 15:12:01 GMT
- Title: A General Sufficient Condition for Rewriting Horn-ALCHI Atomic Queries into GQL
- Abstract summary: We introduce DL automata, a novel formalism that captures the semantics of first-order rewritable queries.<n>We identify a large class of DL automata that can be rewritten into unions of conjunctive two-way regular path queries.<n>This yields a broad class of Horn-AL OMCHIQs that are GQL-rewritable.
- Score: 6.033257307910245
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The emergence of the ISO standard GQL introduces a powerful query language extending first-order logic with controlled recursion, raising the question of its applicability to evaluation of ontology-mediated queries (OMQs). We focus on OMQs consisting of atomic queries over ontologies expressed in Horn-ALCHI, an expressive Description Logic that is not, in general, first-order rewritable. To address this, we introduce DL automata, a novel formalism that captures the semantics of such OMQs via runs over fact sets. We then identify a large class of DL automata that can be rewritten into unions of conjunctive two-way regular path queries (UC2RPQs), a central fragment of GQL. Our class of automata relies on a stratification of their states, ruling out specific forms of cyclic dependencies known to raise the complexity. This yields a broad class of Horn-ALCHI OMQs that are GQL-rewritable.
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