Authors: Bell, Siegfried
Weber, Steffo
Title: A note on paraconsistent entailment in machine learning
Language (ISO): en
Abstract: Recent publications witness that there is a growing interest in multi-valued logics for machine learning; some of them arose as a more or less formal description of a computer program's inferential behaviour. The referred origin of these systems is Belnap's fourvalued logic, which has been adopted for the various needs of knowledge representation in a machine learning system. However, it is unclear what an inconsistent knowledge base entails. We investigate Mobal's logic < and show how to interpret the term `paraconsistent inference' of this system. It turns out that the meaning of the basic connective ! of < can be represented as a combination of two systems of Kleene's strong three-valued logic, where the two systems differ in the set of designated truth values. The resulting logic is functionally complete but the entailment relation is not axiomatizable. This drawback yields a fundamental difference between nonmontonicity within belief-revision and non-monotonic reasoning systems like Servi's refinement 1 of Gabbay's .
URI: http://hdl.handle.net/2003/2579
http://dx.doi.org/10.17877/DE290R-14890
Issue Date: 1999-10-27
Publisher: Universität Dortmund
Appears in Collections:LS 08 Künstliche Intelligenz

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