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Analysing Temporal Reasoning in Description Logics Using Formal Grammars
Conference proceeding   Open access   Peer reviewed

Analysing Temporal Reasoning in Description Logics Using Formal Grammars

Camille Bourgaux, Anton Gnatenko and Michaël Thomazo
Ecai 2025: 28th European Conference on Artificial Intelligence, 25-30 October 2025, Bologna, Italy – Including 14th Conference on Prestigious Applications of Intelligent Systems (PAIS 2025), Vol.413, pp.1752-1759
Frontiers in Artificial Intelligence and Applications, 413
European Conference on Artificial Intelligence (Bologna, 25/10/2025–30/10/2025)
2025
Handle:
https://hdl.handle.net/10863/51146

Abstract

Computer circuits Data description Formal languages Question answering Temporal logic
We establish a correspondence between (fragments of) TELO, a temporal extension of the EL description logic with the LTL operator Ok, and some specific kinds of formal grammars, in particular, conjunctive grammars (context-free grammars equipped with the operation of intersection). This connection implies that TELO does not possess the property of ultimate periodicity of models, and further leads to undecidability of query answering in TELO, closing a question left open since the introduction of TELO. Moreover, it also allows to establish decidability of query answering for some new interesting fragments of TELO, and to reuse for this purpose existing tools and algorithms for conjunctive grammars.
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FAIA-413-FAIA251004343.40 kBDownloadView
Open Access
url
https://doi.org/10.3233/FAIA251004View

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