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Two Variations on the Theme of “Useful Four-Valued Logic”
Dmitry V. Zaitsev

In what follows two curious generalizations of four-element matrixes for first-degree relevant logic will be presented. The first part of the paper deals with the semantic consideration and algebraic analysis of inconsistent logic PR (P for paraconsistent, and R for relevant), to be result of combining matrixes for the system FDE with the matrix for classical implication. In the second part the variant of propositional logic with certain “non-monotonic” properties is considered.

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