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  1. A Finite Axiomatization of G-Dependence.Gianluca Paolini - 2017 - Journal of Logic, Language and Information 26 (3):293-302.
    We show that a form of dependence known as G-dependence admits a very natural finite axiomatization, as well as Armstrong relations. We also give an explicit translation between functional dependence and G-dependence.
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  • A logical approach to context-specific independence.Jukka Corander, Antti Hyttinen, Juha Kontinen, Johan Pensar & Jouko Väänänen - 2019 - Annals of Pure and Applied Logic 170 (9):975-992.
    Directed acyclic graphs (DAGs) constitute a qualitative representation for conditional independence (CI) properties of a probability distribution. It is known that every CI statement implied by the topology of a DAG is witnessed over it under a graph-theoretic criterion of d-separation. Alternatively, all such implied CI statements are derivable from the local independencies encoded by a DAG using the so-called semi-graphoid axioms. We consider Labeled Directed Acyclic Graphs (LDAGs) modeling graphically scenarios exhibiting context-specific independence (CSI). Such CSI statements are modeled (...)
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