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Axiomatic extensions of the nilpotent minimum logic

Gispert J.

Reports on Mathematical Logic

2003

No. 37

113-123

In this paper we characterize, classify and axiomatize all axiomatic extensions of the Nilpotent Minimum Logic. Every axiomatic extension is complete with respect to a class of NM-chains. Given a family of NM-chains the number of elements of the largest odd finite NM-chain in the family and the number of elements of the largest even finite NM-chain in the family turns out to be a complete classifier.