We provide a standard completeness proof which uniformly applies to a large class of axiomatic extensions of Involutive Monoidal T-norm Logic (IMTL). In particular, we identify sufficient conditions on the proof calculi which ensure density elimination and then standard completeness. Our argument contrasts with all previous approaches for involutive logics which are logic-specific.
Standard completeness for extensions of IMTL / P. Baldi, A. Ciabattoni, F. Gulisano (IEEE INTERNATIONAL FUZZY SYSTEMS CONFERENCE PROCEEDINGS). - In: International Conference on Fuzzy Systems[s.l] : Institute of Electrical and Electronics Engineers Inc., 2017. - ISBN 978-1-5090-6034-4. - pp. 1-6 (( convegno International Conference on Fuzzy Systems, FUZZ 2017 tenutosi a Napoli nel 2017 [10.1109/FUZZ-IEEE.2017.8015625].
Standard completeness for extensions of IMTL
P. Baldi
Primo
;
2017
Abstract
We provide a standard completeness proof which uniformly applies to a large class of axiomatic extensions of Involutive Monoidal T-norm Logic (IMTL). In particular, we identify sufficient conditions on the proof calculi which ensure density elimination and then standard completeness. Our argument contrasts with all previous approaches for involutive logics which are logic-specific.
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