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arXiv · 2610.40797

Uniform Non-Deterministic Semantics for Ciuciura's $mbC^n$-Hierarchy

Ela Drozdowska·Pawel Pawlowski
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Abstract

We introduce a uniform non-deterministic semantics for the hierarchy of paraconsistent systems mbC^n introduced by Ciuciura. The proposed construction generalizes Omori's three-valued semantics for mbC^1 to all systems of the hierarchy. We prove soundness and completeness of the semantics with respect to the corresponding axiomatizations and show that the consequence relations of the systems mbC^n cannot be characterized by finite deterministic matrices.

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Ela Drozdowska, Pawel Pawlowski. 2026-10-29. Uniform Non-Deterministic Semantics for Ciuciura's $mbC^n$-Hierarchy. https://doi.org/10.4204/eptcs.455.1

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