##
Reports on Mathematical Logic

###
No. 37

Joan GISPERT I BRAS{\'O}:

**AXIOMATIC EXTENSIONS OF THE NILPOTENT MINIMUM**

LOGIC

A b s t r a c t. 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.

Back to Main Menu