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math.LO2026
Possibilistic Logic over a Logic of Formal Inconsistency
Esha Jain, Sankha S. Basu
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 uncertain…
math.LO2025
Topological semantics for a non-self-extensional LFI
Esha Jain, Sankha S. Basu
In this article, we have introduced a Logic of Formal Inconsistency (LFI) that we call $\vd$. This logic is non-self-extensional, i.e., the replacement property, or the rule for su…
math.LO2025
Paracomplete Probabilities
Sankha S. Basu, Esha Jain
This paper presents an advance in the direction of working with probabilities in a paracomplete setting using Logics of Formal Undeterminedness (LFUs). The undeterminedness is inte…