Paraconsistency and Topological Semantics

Computer Science – Logic in Computer Science

Scientific paper

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arXiv admin note: substantial text overlap with arXiv:1107.4932

Scientific paper

The well-studied notion of deductive explosion describes the situation where
any formula can be deduced from an inconsistent set of formulas. Paraconsistent
logic, on the other hand, is the umbrella term for logical systems where the
logical consequence relation is not explosive. In this work, we investigate the
relationship between some different topological spaces and paraconsistency.

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