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Convergence of residuated operators and connective stability of non-classical logics

✍ Scribed by Sándor Jenei; Etienne E. Kerre

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
88 KB
Volume
114
Category
Article
ISSN
0165-0114

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✦ Synopsis

Some of the results of Jenei (1993) are put in a more general setting in this paper. The convergence of the residuated connectives related to a sequence of left-continuous triangular norms to the residuated connective of the limit triangular norm is studied. Two su cient and necessary conditions are given. A derived concept, the connective stability of non-classical logics is introduced and investigated. It is established that G odel's logic, some Girard's logics and further non-classical logics are connective stable.

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