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A branch of non‑classical logic that studies systems in which contradictions do not imply triviality (explosion). Paraconsistent logic allows a statement and its negation to both be true without allowing every statement to be proved. It provides a formal framework for reasoning with inconsistent information—common in legal disputes, medical diagnoses, and inconsistent databases. Paraconsistent logic theory includes systems like LP (Logic of Paradox) and relevant logics, and has applications in AI, knowledge representation, and semantics.
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