Paraconsistent logic programming
Theoretical Computer Science
A logic for reasoning with inconsistency
Journal of Automated Reasoning
A nonstandard approach to the logical omniscience problem
Artificial Intelligence
Inconsistency management and prioritized syntax-based entailment
IJCAI'93 Proceedings of the 13th international joint conference on Artifical intelligence - Volume 1
IJCAI'97 Proceedings of the 15th international joint conference on Artifical intelligence - Volume 1
Generalised inference and inferential modelling
IJCAI'91 Proceedings of the 12th international joint conference on Artificial intelligence - Volume 2
How to infer from inconsistent beliefs without revising
IJCAI'95 Proceedings of the 14th international joint conference on Artificial intelligence - Volume 2
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One of the main goals of paraconsistent logics is to develop a theory of reasoning that can tolerate inconsistencies. In this paper we present a novel way to analyze and compare several paraconsistent reasoning mechanisms in terms of their preservational properties. The main idea is that although an inconsistent set of data cannot all be true, such a set may nevertheless carry useful properties that are worthy of preservation. One of these properties provides a theoretically interesting way to meaisure the relative incoherence of a data set; another one provides a way to measure the quantity of empirical information in an inconsistent set.