Topological Semantics for Paraconsistent and Paracomplete Logics

David Fuenmayor 📧

December 17, 2020

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Abstract

We introduce a generalized topological semantics for paraconsistent and paracomplete logics by drawing upon early works on topological Boolean algebras (cf. works by Kuratowski, Zarycki, McKinsey & Tarski, etc.). In particular, this work exemplarily illustrates the shallow semantical embeddings approach (SSE) employing the proof assistant Isabelle/HOL. By means of the SSE technique we can effectively harness theorem provers, model finders and 'hammers' for reasoning with quantified non-classical logics.

License

BSD License

Topics

Session Topological_Semantics