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Abstract: The notion of logical entailment in model-theoretic probabilistic logic is based on the idea of performing a conditioning on probability distributions. This is why logical entailment does not handle well the case where the conditioning event always has the probability zero. Recently, it has been argued in the artificial intelligence literature that the notion of entailment under coherence, which has been extensively studied especially in the area of statistics, should be used instead for... (Update)
Context of citations to this paper: More
.... properties, and they can also be used in reasoning from statistical knowledge and degrees of belief [47] A companion paper [46] explores related notions of entailment for conditioning on zero events. A further way to overcome the inferential weakness of model...
.... of##### and##### , the notions of entailment coincide with the probabilistic notions of entailment recently introduced by the author in [45] and [46] respectively. We show that the notions of entailment have similar properties as their classical counterparts. In...
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BibTeX entry: (Update)
T. Lukasiewicz. Nonmonotonic probabilistic logics between model-theoretic prob- abilistic logic and probabilistic logic under coherence. In Proceedings of the 9th International Workshop on Non-Monotonic Reasoning, pages 265--274, 2002. http://citeseer.ist.psu.edu/lukasiewicz02nonmonotonic.html More
@misc{ lukasiewicz02nonmonotonic,
author = "T. Lukasiewicz",
title = "Nonmonotonic probabilistic logics between model-theoretic prob- abilistic
logic and probabilistic logic under coherence",
text = "T. Lukasiewicz. Nonmonotonic probabilistic logics between model-theoretic
prob- abilistic logic and probabilistic logic under coherence. In Proceedings
of the 9th International Workshop on Non-Monotonic Reasoning, pages 265--274,
2002.",
year = "2002",
url = "citeseer.ist.psu.edu/lukasiewicz02nonmonotonic.html" }
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Documents on the same site (http://www.kr.tuwien.ac.at/staff/lukasiew/lukasiewicz.personal.html): More
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