Anders Schlichtkrull, Jørgen Villadsen

Research output: Contribution to journalJournal articleResearchpeer-review

86 Downloads (Pure)


Paraconsistency is about handling inconsistency in a coherent way. In classical and intuitionistic logic everything follows from an inconsistent theory. A paraconsistent logic avoids the explosion. Quite a few applications in computer science and engineering are discussed in the Intelligent Systems Reference Library Volume 110: Towards Paraconsistent Engineering (Springer 2016). We formalize a paraconsistent many-valued logic that we motivated and described in a special issue on logical approaches to paraconsistency (Journal of Applied Non-Classical Logics 2005). We limit ourselves to the propositional fragment of the higher-order logic. The logic is based on so-called key equalities and has a countably infinite number of truth values. We prove theorems in the logic using the definition of validity. We verify truth tables and also counterexamples for non-theorems. We prove meta-theorems about the logic and finally we investigate a case study.
Original languageEnglish
Book seriesArchive of Formal Proofs
Pages (from-to)1-27
Publication statusPublished - 2016


Dive into the research topics of 'Paraconsistency'. Together they form a unique fingerprint.

Cite this