Qualitative Relevance and Independence: A Roadmap

Dubois, Didier; Fariñas del Cerro, Luis; Herzig, Andreas; Prade, Henri

Qualitative Relevance and Independence: A Roadmap

Didier Dubois, Luis Fariñas del Cerro, Andreas Herzig, Henri Prade

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Proceedings of the Fifteenth International Joint Conference on Artificial Intelligence. Automated Reasoning. Pages 62-66.

Abstract

Several qualitative notions of epistemic dependence between propositions are studied. They are closely related to the ordinal notion of conditional possibility. What this paper proposes is a systematic investigation of how the fact of learning a new piece of evidence individually affects previous beliefs. Namely a new piece of information A can either leave a previous belief untouched, or cancel it from the set of accepted beliefs, or even refute it. On the contrary, A can justify a new belief, not previously held, or fail to justify it. We provide axiomatizations of epistemic independence and relevance and show the close links between qualitative independence and the theory of belief change. It turns out that qualitative independence and AGM belief change operations have the same expressive power. Lastly, it is briefly suggested how qualitative independence can be applied to plausible reasoning.

Didier Dubois, Luis Fariñas del Cerro, Andreas Herzig, and Henri Prade. 1997. Qualitative Relevance and Independence: A Roadmap. In Proceedings of the Fifteenth International Joint Conference on Artificial Intelligence, IJCAI-97. IJCAI, 62–66. https://ijcai.org/proceedings/1997/10

@inproceedings{ijcai1997p10,
  title     = {Qualitative Relevance and Independence: A Roadmap},
  author    = {Dubois, Didier and Fariñas del Cerro, Luis and Herzig, Andreas and Prade, Henri},
  booktitle = {Proceedings of the Fifteenth International Joint Conference on
               Artificial Intelligence, {IJCAI-97}},
  publisher = {International Joint Conferences on Artificial Intelligence},
  editor    = {Martha E. Pollack},
  pages     = {62--66},
  year      = {1997},
  note      = {Automated Reasoning},
  url       = {https://ijcai.org/proceedings/1997/10},
}

TY  - CPAPER
TI  - Qualitative Relevance and Independence: A Roadmap
AU  - Dubois, Didier
AU  - Fariñas del Cerro, Luis
AU  - Herzig, Andreas
AU  - Prade, Henri
T2  - Proceedings of the Fifteenth International Joint Conference on Artificial Intelligence, IJCAI-97
PB  - International Joint Conferences on Artificial Intelligence
PY  - 1997
SP  - 62
EP  - 66
UR  - https://ijcai.org/proceedings/1997/10
ER  -