## Conditional Objects as Nonmonotonic Consequence Relationships (0)

Venue: | IEEE Trans. Syst. Man Cybern |

Citations: | 37 - 9 self |

### BibTeX

@ARTICLE{Dubois_conditionalobjects,

author = {Didier Dubois and Henri Prade},

title = {Conditional Objects as Nonmonotonic Consequence Relationships},

journal = {IEEE Trans. Syst. Man Cybern},

year = {},

volume = {24},

pages = {1724--1740}

}

### Years of Citing Articles

### OpenURL

### Abstract

This paper is an investigation of the relationship between conditional objects obtained as a qualitative counterpart to conditional probabilities, and nonmonotonic reasoning. Roughly speaking, a conditional object can be seen as a generic rule which allows us to get a conclusion provided that the available information exactly corresponds to the "context" part of the conditional object. This gives freedom for possibly retracting previous conclusions when the available information becomes more specific. Viewed as an inference rule expressing a contextual belief, the conditional object is shown to possess all properties of a well-behaved nonmonotonic consequence relation when a suitable choice of connectives and deduction operation is made. Using previous results from Adams' conditional probabilistic logic, a logic of conditional objects is proposed. Its axioms and inference rules are those of preferential reasoning logic of Lehmann and colleagues. But the semantics relies on a three-valu...