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Finite Entailment of UCRPQs over ALC Ontologies

2022/04/29 by Gutiérrez-Basulto, Vıctor, Gutowski, Albert, Ibáñez-Garcıa, Yazmın +1
#Artificial Intelligence (cs.AI) #Databases (cs.DB) #FOS: Computer and information sciences #Logic in Computer Science (cs.LO)

paper · doi:10.48550/arxiv.2204.14261

Abstract

We investigate the problem of finite entailment of ontology-mediated queries. We consider the expressive query language, unions of conjunctive regular path queries (UCRPQs), extending the well-known class of union of conjunctive queries, with regular expressions over roles. We look at ontologies formulated using the description logic ALC, and show a tight 2EXPTIME upper bound for entailment of UCRPQs. At the core of our decision procedure, there is a novel automata-based technique introducing a stratification of interpretations induced by the deterministic finite automaton underlying the input UCRPQ

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