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K3, L3, LP, RM3, A3, FDE: How to Make Many-Valued Logics Work for You
November 15, 2017 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
Allen P. Hazen, Francis Jeffry Pelletier
arXiv ID
1711.05816
Category
cs.AI: Artificial Intelligence
Cross-listed
cs.LO
Citations
7
Venue
arXiv.org
Last Checked
4 months ago
Abstract
We investigate some well-known (and a few not-so-well-known) many-valued logics that have a small number (3 or 4) of truth values. For some of them we complain that they do not have any \emph{logical} use (despite their perhaps having some intuitive semantic interest) and we look at ways to add features so as to make them useful, while retaining their intuitive appeal. At the end, we show some surprising results in the system FDE, and its relationships with features of other logics. We close with some new examples of "synonymous logics." An Appendix contains a natural deduction system for our augmented FDE, and proofs of soundness and completeness.
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