TY - JOUR AU - Deuser, Kaya AU - Naumov, Pavel PY - 2018/04/26 Y2 - 2024/03/28 TI - Armstrong's Axioms and Navigation Strategies JF - Proceedings of the AAAI Conference on Artificial Intelligence JA - AAAI VL - 32 IS - 1 SE - AAAI Technical Track: Reasoning under Uncertainty DO - 10.1609/aaai.v32i1.12109 UR - https://ojs.aaai.org/index.php/AAAI/article/view/12109 SP - AB - <p> 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. </p> ER -