Rough sets semantics for the three-valued extension of first-order Priest's da Costa logic

We provide a rough sets semantics for the three-valued extension of first-order Priest's da Costa logic, which we studied in [Castiglioni, J.L. and Ertola-Biraben, R.C. Modalities combining two negations. {\em Journal of Logic and Computation} 11:341--356, 2024]. This semantics follows the usual pattern of the semantics for first-order classical logic.

Publication Details

Journal
ArXiv.org
Published
2025-05-14
Primary Topic
Advanced Algebra and Logic
Type
article
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article

Rough sets semantics for the three-valued extension of first-order Priest's da Costa logic

ArXiv.org
Advanced Algebra and Logic
article

Rough sets semantics for the three-valued extension of first-order Priest's da Costa logic

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Abstract

We provide a rough sets semantics for the three-valued extension of first-order Priest's da Costa logic, which we studied in [Castiglioni, J.L. and Ertola-Biraben, R.C. Modalities combining two negations. {\em Journal of Logic and Computation} 11:341--356, 2024]. This semantics follows the usual pattern of the semantics for first-order classical logic.

ArXiv.org
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Advanced Algebra and Logic
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Rough sets semantics for the three-valued extension of first-order Priest's da Costa logic · ArXiv.org (2025) | TGRS Research Map | TGRS