Successor-Invariant First-Order Logic on Classes of Bounded Degree (Extended Abstract)

Julien Grange

IJCAI 2021poster0 citations

Successor-Invariant First-Order Logic on Classes of Bounded Degree (Extended Abstract)

Abstract

We study the expressive power of successor-invariant first-order logic, which is an extension of first-order logic where the usage of a successor relation on the vertices of the graph is allowed, as long as the validity of formulas is independent on the choice of a particular successor. We show that when the degree is bounded, successor-invariant first-order logic is no more expressive than first-order logic.

Knowledge Representation and Reasoning: Logics for Knowledge Representation

BibTeX

@inproceedings{ijcai2021p649,
  title     = {Successor-Invariant First-Order Logic on Classes of Bounded Degree (Extended Abstract)},
  author    = {Grange, Julien},
  booktitle = {Proceedings of the Thirtieth International Joint Conference on
               Artificial Intelligence, {IJCAI-21}},
  publisher = {International Joint Conferences on Artificial Intelligence Organization},
  editor    = {Zhi-Hua Zhou},
  pages     = {4775--4779},
  year      = {2021},
  month     = {8},
  note      = {Sister Conferences Best Papers},
  doi       = {10.24963/ijcai.2021/649},
  url       = {https://doi.org/10.24963/ijcai.2021/649},
}