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Existential rules, i.e. Datalog extended wExistential rules, i.e. Datalog extended with existential quantifiers in rule heads, are currently studied under a variety of names such as Datalog+/–, \exists\forall-rules, and tuple-generating dependencies. The renewed interest in this formalism is fuelled by a wealth of recently discovered language fragments for which query answering is decidable. This paper extends and consolidates two of the main approaches in this field – acyclicity and guardedness – by providing (1) complexity-preserving generalisations of weakly acyclic and weakly (frontier-)guarded rules, and (2) a novel formalism of glut (frontier-)guarded rules that subsumes both. This builds on an insight that acyclicity can be used to extend any existential rule language while retaining decidability. Besides decidability, combined query complexities are established in all cases.complexities are established in all cases.  +
@inproceedings{KR2011,
  author    = {Markus Kr{\"{o}}tzsch and Sebastian Rudolph},
  title     = {Extending Decidable Existential Rules by Joining Acyclicity and
               Guardedness},
  editor    = {Toby Walsh},
  booktitle = {Proceedings of the 22nd International Joint Conference on
               Artificial Intelligence (IJCAI 2011)},
  publisher = {IJCAI/AAAI},
  year      = {2011},
  month     = {July},
  pages     = {963-968}
}
Inproceedings  +
Proceedings of the 22nd International Joint Conference on Artificial Intelligence (IJCAI 2011)  +
KroetzschRudolph Joint Acyclicity IJCAI 2011.pdf  +
Toby Walsh  +
Krötzsch  +
Juli  +
Additional proofs for this work can be found in the technical report [[Techreport3011/en|Revisiting Acyclicity and Guardedness Criteria for Decidability of Existential Rules]].  +
963-968  +
Markus Krötzsch, Sebastian Rudolph<br/&Markus Krötzsch, Sebastian Rudolph<br/> '''[[Inproceedings3149|<b>Extending Decidable Existential Rules by Joining Acyclicity and Guardedness</b>]]''' <br/>__NOTOC__In Toby Walsh, eds., <i>Proceedings of the 22nd International Joint Conference on Artificial Intelligence (IJCAI 2011)</i>, 963-968, July 2011. IJCAI/AAAI<br/><span class="fas fa-chevron-right" style="font-size: 85%;" ></span> [[Inproceedings3149|Details]] <span class="fas fa-chevron-right" style="font-size: 85%; margin-left: 2ex; "></span> [[Media:KroetzschRudolph Joint Acyclicity IJCAI 2011.pdf|Download]]KroetzschRudolph Joint Acyclicity IJCAI 2011.pdf|Download]]  +
Markus Krötzsch, Sebastian Rudolph<br/&Markus Krötzsch, Sebastian Rudolph<br/> '''[[Inproceedings3149/en|<b>Extending Decidable Existential Rules by Joining Acyclicity and Guardedness</b>]]''' <br/>__NOTOC__In Toby Walsh, eds., <i>Proceedings of the 22nd International Joint Conference on Artificial Intelligence (IJCAI 2011)</i>, 963-968, July 2011. IJCAI/AAAI<br/><span class="fas fa-chevron-right" style="font-size: 85%;" ></span> [[Inproceedings3149|Details]] <span class="fas fa-chevron-right" style="font-size: 85%; margin-left: 2ex;" ></span> [[Media:KroetzschRudolph Joint Acyclicity IJCAI 2011.pdf|Download]]KroetzschRudolph Joint Acyclicity IJCAI 2011.pdf|Download]]  +
IJCAI/AAAI  +
Extending Decidable Existential Rules by Joining Acyclicity and Guardedness  +
inproceedings  +
2011  +
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Extending Decidable Existential Rules by Joining Acyclicity and Guardedness  +
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