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Temporal datalog with existential quantification

Abstract:
Existential rules, also known as tuple-generating dependencies (TGDs) or Datalog± rules, are heavily studied in the communities of Knowledge Representation and Reasoning, Semantic Web, and Databases, due to their rich modelling capabilities. In this paper we consider TGDs in the temporal setting, by introducing and studying DatalogMTL∃—an extension of metric temporal Datalog (DatalogMTL) obtained by allowing for existential rules in programs. We show that DatalogMTL∃ is undecidable even in the restricted cases of guarded and weakly-acyclic programs. To address this issue we introduce uniform semantics which, on the one hand, is well-suited for modelling temporal knowledge as it prevents from unintended value invention and, on the other hand, provides decidability of reasoning; in particular, it becomes 2-ExpSpace-complete for weakly-acyclic programs but remains undecidable for guarded programs. We provide an implementation for the decidable case and demonstrate its practical feasibility. Thus we obtain an expressive, yet decidable, rule-language and a system which is suitable for complex temporal reasoning with existential rules.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.24963/ijcai.2023/365

Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author
ORCID:
0000-0003-2922-0472


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Grant:
EP/V050869/1
Grant:
EP/S019111/1 RG95975
Grant:
EP/S032347/1


Publisher:
IJCAI
Pages:
3277-3285
Publication date:
2023-08-11
Acceptance date:
2023-04-20
Event title:
32nd International Joint Conference on Artificial Intelligence (IJCAI 2023)
Event location:
Macau, SAR
Event website:
https://ijcai-23.org/
Event start date:
2023-08-19
Event end date:
2023-08-25
DOI:


Language:
English
Keywords:
Pubs id:
1341475
Local pid:
pubs:1341475
Deposit date:
2023-05-18
ARK identifier:

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