Armstrong's Axioms and Navigation Strategies
Abstract
The paper investigates navigability with imperfect information. It shows that the properties of navigability with perfect recall are exactly those captured by Armstrong's axioms from database theory. If the assumption of perfect recall is omitted, then Armstrong's transitivity axiom is not valid, but it can be replaced by a weaker principle. The main technical results are soundness and completeness theorems for the logical systems describing properties of navigability with and without perfect recall.
Cite
Text
Deuser and Naumov. "Armstrong's Axioms and Navigation Strategies." AAAI Conference on Artificial Intelligence, 2018. doi:10.1609/AAAI.V32I1.12109Markdown
[Deuser and Naumov. "Armstrong's Axioms and Navigation Strategies." AAAI Conference on Artificial Intelligence, 2018.](https://mlanthology.org/aaai/2018/deuser2018aaai-armstrong/) doi:10.1609/AAAI.V32I1.12109BibTeX
@inproceedings{deuser2018aaai-armstrong,
title = {{Armstrong's Axioms and Navigation Strategies}},
author = {Deuser, Kaya and Naumov, Pavel},
booktitle = {AAAI Conference on Artificial Intelligence},
year = {2018},
pages = {6343-6350},
doi = {10.1609/AAAI.V32I1.12109},
url = {https://mlanthology.org/aaai/2018/deuser2018aaai-armstrong/}
}