Topological semantics for paraconsistent and paracomplete logics in Isabelle/HOL
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We encode a topological semantics for paraconsistent and paracomplete logics enriched with recovery operators, by drawing upon early works on topological Boolean algebras (by Kuratowski, Zarycki, McKinsey Tarski, etc.). This work exemplarily illustrates the shallow semantical embedding approach using Isabelle/HOL and shows how we can effectively harness theorem provers, model finders and "hammers" for reasoning with quantified non-classical logics.
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