Topological semantics for a non-self-extensional LFI

Esha Jain; Sankha S. Basu

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arXiv · 2511.04116

Topological semantics for a non-self-extensional LFI

Esha Jain·Sankha S. Basu

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Abstract

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 substitution of equivalents, does not hold. A Hilbert-style presentation for the logic has been provided. Then, a topological semantics for $\vd$ has been described, subsequent to which we have established the Soundness and Completeness results for it with respect to this semantics.

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BibTeX RIS

Esha Jain, Sankha S. Basu. 2025-11-06. Topological semantics for a non-self-extensional LFI. https://arxiv.org/abs/2511.04116

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