Weak Conditional Logics of Normality

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Weak Conditional Logics of Normality
A default conditional α → β has most often been informally interpreted as a defeasible version of a classical conditional, usually the material conditional. That is, the intuition is that a default should behave (implicitly or explicitly) as its (say) material counterpart “by default” or unless explicitly overridden. In this paper, we develop an alternative interpretation, in which a default is regarded more like a rule, leading from premises to conclusion. To this end, a general semantic framework under a “rule-based” interpretation is developed, and a family of weak conditional logics is specified, along with associated proof theories. Nonmonotonic inference is defined very easily in these logics. One obtains a rich set of nonmonotonic inferences concerning the incorporation of irrelevant properties and of property inheritance. Moreover, this interpretation resolves problems that have been associated with previous approaches.
James P. Delgrande
Added 31 Oct 2010
Updated 31 Oct 2010
Type Conference
Year 2003
Authors James P. Delgrande
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