Schlichtkrull, Anders

Villadsen, Jørgen

Jørgen Villadsen

Anders Schlichtkrull

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Formalizing a Paraconsistent Logic in the Isabelle Proof Assistant

We present a formalization of a so-called paraconsistent logic that avoids the catastrophic explosiveness of inconsistency in classical logic. The paraconsistent logic has a countably infinite number of non-classical truth values. We show how to use the proof assistant Isabelle to formally prove theorems in the logic as well as meta-theorems about the logic. In particular, we formalize a meta-theorem that allows us to reduce the infinite number of truth values to a finite number of truth values, for a given formula, and we use this result in a formalization of a small case study

Online Research Database In Technology

http://orbit.dtu.dk/ws/files/140838206/TLDKS.pdf

Formalizing a Paraconsistent Logic in the Isabelle Proof Assistant

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Online Research Database In Technology