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We introduce ontology-mediated planning, in which planning problems are combined with an ontology. Our formalism differs from existing ones in that we focus on a strong separation of the formalisms for describing planning problems and…

Artificial Intelligence · Computer Science 2024-08-15 Tobias John , Patrick Koopmann

While classical planning languages make the closed-domain and closed-world assumption, there have been various approaches to extend those with DL reasoning, which is then interpreted under the usual open-world semantics. Current approaches…

Artificial Intelligence · Computer Science 2023-08-17 Tobias John , Patrick Koopmann

The literature on ontology-mediated query answering (OMQA) has been shaped by two key results: first-order rewritability for DL-Lite, and PTime-hardness of data complexity for essentially every description logic beyond it. This has…

Logic in Computer Science · Computer Science 2026-05-14 Janos Arpasi , Bartosz Jan Bednarczyk , Magdalena Ortiz

We study the problem of rewriting an ontology O1 expressed in a DL L1 into an ontology O2 in a Horn DL L2 such that O1 and O2 are equisatisfiable when extended with an arbitrary dataset. Ontologies that admit such rewritings are amenable to…

Artificial Intelligence · Computer Science 2015-04-22 Mark Kaminski , Bernardo Cuenca Grau

In many scenarios, complete and incomplete information coexist. For this reason, the knowledge representation and database communities have long shown interest in simultaneously supporting the closed- and the open-world views when reasoning…

Artificial Intelligence · Computer Science 2019-12-17 Shqiponja Ahmetaj , Magdalena Ortiz , Mantas Simkus

We study the problem of fitting a description logic (DL) ontology to a given set of positive and negative examples that take the form of an ABox and a Boolean query. While previous work has investigated this problem for the expressive DLs…

Logic in Computer Science · Computer Science 2026-05-01 Marvin Grosser , Carsten Lutz

Multiple logic-based reconstructions of conceptual data modelling languages such as EER, UML Class Diagrams, and ORM exist. They mainly cover various fragments of the languages and none are formalised such that the logic applies…

Artificial Intelligence · Computer Science 2019-09-20 Pablo Rubén Fillottrani , C. Maria Keet

Standard automated planning employs first-order formulas under closed-world semantics to achieve a goal with a given set of actions from an initial state. We follow a line of research that aims to incorporate background knowledge into…

Artificial Intelligence · Computer Science 2025-07-24 Stefan Borgwardt , Duy Nhu , Gabriele Röger

Ontology is a popular method for knowledge representation in different domains, including the legal domain, and description logics (DL) is commonly used as its description language. To handle reasoning based on inconsistent DL-based legal…

Artificial Intelligence · Computer Science 2022-09-20 Zhe Yu , Yiwei Lu

Rewriting-based approaches for answering queries over an OWL 2 DL ontology have so far been developed mainly for Horn fragments of OWL 2 DL. In this paper, we study the possibilities of answering queries over non-Horn ontologies using…

Artificial Intelligence · Computer Science 2013-04-09 Bernardo Cuenca Grau , Boris Motik , Giorgos Stoilos , Ian Horrocks

Solving complex planning problems requires Large Language Models (LLMs) to explicitly model the state transition to avoid rule violations, comply with constraints, and ensure optimality-a task hindered by the inherent ambiguity of natural…

Artificial Intelligence · Computer Science 2025-05-09 Zhouliang Yu , Yuhuan Yuan , Tim Z. Xiao , Fuxiang Frank Xia , Jie Fu , Ge Zhang , Ge Lin , Weiyang Liu

We introduce $\mathcal{DLR}^+$, an extension of the n-ary propositionally closed description logic $\mathcal{DLR}$ to deal with attribute-labelled tuples (generalising the positional notation), projections of relations, and global and local…

Artificial Intelligence · Computer Science 2017-07-27 Alessandro Artale , Enrico Franconi , Rafael Peñaloza , Francesco Sportelli

Large language models (LLMs) have demonstrated impressive capabilities across diverse tasks, yet their ability to perform structured symbolic planning remains limited, particularly in domains requiring formal representations like the…

Artificial Intelligence · Computer Science 2025-09-18 Pulkit Verma , Ngoc La , Anthony Favier , Swaroop Mishra , Julie A. Shah

In recent advancements, large language models (LLMs) have exhibited proficiency in code generation and chain-of-thought reasoning, laying the groundwork for tackling automatic formal planning tasks. This study evaluates the potential of…

Artificial Intelligence · Computer Science 2025-02-28 Kaustubh Vyas , Damien Graux , Sébastien Montella , Pavlos Vougiouklis , Ruofei Lai , Keshuang Li , Yang Ren , Jeff Z. Pan

Large Language Models have been found to create plans that are neither executable nor verifiable in grounded environments. An emerging line of work demonstrates success in using the LLM as a formalizer to generate a formal representation of…

Computation and Language · Computer Science 2025-06-03 Cassie Huang , Li Zhang

The quest for acquiring a formal representation of the knowledge of a domain of interest has attracted researchers with various backgrounds into a diverse field called ontology learning. We highlight classical machine learning and data…

Artificial Intelligence · Computer Science 2021-04-06 Ana Ozaki

We investigate the decidability and computational complexity of conservative extensions and the related notions of inseparability and entailment in Horn description logics (DLs) with inverse roles. We consider both query conservative…

Artificial Intelligence · Computer Science 2020-11-20 Jean Christoph Jung , Carsten Lutz , Mauricio Martel , Thomas Schneider

Axioms are a feature of the Planning Domain Definition Language PDDL that can be considered as a generalization of database query languages such as Datalog. The PDDL standard restricts negative occurrences of predicates in axiom bodies to…

Artificial Intelligence · Computer Science 2026-03-23 Claudia Grundke , Gabriele Röger

We analyze the data complexity of ontology-mediated querying where the ontologies are formulated in a description logic (DL) of the ALC family and queries are conjunctive queries, positive existential queries, or acyclic conjunctive…

Artificial Intelligence · Computer Science 2023-06-22 Carsten Lutz , Frank Wolter

In recent years, several efforts have been made to enhance conceptual data modelling with automated reasoning to improve the model's quality and derive implicit information. One approach to achieve this in implementations, is to constrain…

Logic in Computer Science · Computer Science 2009-04-22 C. Maria Keet
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