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arXiv · 2609.11491

Possibilistic Logic over a Logic of Formal Inconsistency

Esha Jain·Sankha S. Basu
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Abstract

In this article, we have introduced a new possibilistic logic on a logic of formal inconsistency with the aim of developing a possibility theoretic framework to deal with uncertainty and inconsistency meaningfully without leading to a system collapse. We have discussed the syntax and semantics for this logic and have proved the soundness and completeness theorems. A set of new measures of consistency, contradictoriness, and triviality of a set of formulas have been defined. These have then been put to use in an example to show that this framework can provide better means of machine reasoning.

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BibTeXRIS

Esha Jain, Sankha S. Basu. 2026-09-10. Possibilistic Logic over a Logic of Formal Inconsistency. https://arxiv.org/abs/2609.11491

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