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The Cartographer
Armstrong's Axioms and Navigation Strategies
July 13, 2017 Β· Declared Dead Β· π AAAI Conference on Artificial Intelligence
"No code URL or promise found in abstract"
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Authors
Kaya Deuser, Pavel Naumov
arXiv ID
1707.04106
Category
cs.AI: Artificial Intelligence
Cross-listed
cs.LO
Citations
7
Venue
AAAI Conference on Artificial Intelligence
Last Checked
4 months ago
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 the database theory. If the assumption of perfect recall is omitted, then Armstrong's transitivity axiom is not valid, but it can be replaced by two new weaker principles. 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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