A Note on Ciuciura’s mbC1

Bulletin of the Section of Logic 48 (3):161-171 (2019)
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Abstract

This note offers a non-deterministic semantics for mbC1, introduced by Janusz Ciuciura, and establishes soundness and completeness results with respect to the Hilbert-style proof system. Moreover, based on the new semantics, we briefly discuss an unexplored variant of mbC1 which has a contra-classical flavor.

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