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CORR
2006
Springer

Pivotal and Pivotal-discriminative Consequence Relations

13 years 11 months ago
Pivotal and Pivotal-discriminative Consequence Relations
In the present paper, we investigate consequence relations that are both paraconsistent and plausible (but still monotonic). More precisely, we put the focus on pivotal consequence relations, i.e. those relations that can be defined by a pivot (in the style of e.g. D. Makinson). A pivot is a fixed subset of valuations which are considered to be the important ones in the absolute sense. We worked with a general notion of valuation that covers e.g. the classical valuations as well as certain kinds of many-valued valuations. In the many-valued cases, pivotal consequence relations are paraconsistant (in addition to be plausible), i.e. they are capable of drawing reasonable conclusions which contain contradictions. We will provide in our general framework syntactic characterizations of several families of pivotal relations. In addition, we will provide, again in our general framework, characterizations of several families of pivotal-discriminative consequence relations. The latter are defi...
Jonathan Ben-Naim
Added 11 Dec 2010
Updated 11 Dec 2010
Type Journal
Year 2006
Where CORR
Authors Jonathan Ben-Naim
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