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Generalizing inference rules in a coherence-based probabilistic default reasoning

Angelo Gilio
2012 International Journal of Approximate Reasoning  
Then, we deepen some probabilistic aspects in nonmonotonic reasoning, by generalizing OR, CM, and Cut rules.  ...  In this paper we first recall some notions and results on the coherence-based probabilistic treatment of uncertainty.  ...  The research on logical operations among conditional events has a natural relation with the role of coherence in probabilistic nonmonotonic reasoning.  ... 
doi:10.1016/j.ijar.2011.08.004 fatcat:s5yobxouovccpgaa3t2twimuje

Quasi conjunction, quasi disjunction, t-norms and t-conorms: Probabilistic aspects

Angelo Gilio, Giuseppe Sanfilippo
2013 Information Sciences  
We make a probabilistic analysis related to some inference rules which play an important role in nonmonotonic reasoning.  ...  In a coherence-based setting, we study the extensions of a probability assessment defined on n conditional events to their quasi conjunction, and by exploiting duality, to their quasi disjunction.  ...  The authors thank the editors and four anonymous reviewers for their valuable criticisms and comments, which were helpful in improving the paper.  ... 
doi:10.1016/j.ins.2013.03.019 fatcat:zajxb52ah5h4xahvqjnebokrmq

A PROBABILISTIC SEMANTICS FOR COUNTERFACTUALS. PART B

HANNES LEITGEB
2011 The Review of Symbolic Logic  
Although the semantics is a truth-conditional semantics, we also want to show that it builds on, and in some ways extends, Ernest Adams' non-truth-conditional suppositional theory for conditionals.  ...  of Lewis' Limit Assumption, and we will see under which conditions our conditional operator may be represented in terms of Lewis'.  ...  , on a nonstandard probability semantics for nonmonotonic consequence relations.)  ... 
doi:10.1017/s1755020311000165 fatcat:rtr2k3gtqffjdoxynhpmxino44