Armstrong's Axioms and Navigation Strategies
DOI:
https://doi.org/10.1609/aaai.v32i1.12109Keywords:
navigation, completeness, axiomatization, memoryless, perfect recallAbstract
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.
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Published
2018-04-26
How to Cite
Deuser, K., & Naumov, P. (2018). Armstrong’s Axioms and Navigation Strategies. Proceedings of the AAAI Conference on Artificial Intelligence, 32(1). https://doi.org/10.1609/aaai.v32i1.12109
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Section
AAAI Technical Track: Reasoning under Uncertainty