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

GULISANO, Francesca
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.
2017
2017 IEEE International Conference on Fuzzy Systems, FUZZ 2017
Royal Continental Hotel, ita
2017
IEEE International Conference on Fuzzy Systems
Institute of Electrical and Electronics Engineers Inc.
9781509060344
Software; Theoretical Computer Science; Artificial Intelligence; Applied Mathematics
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/79013
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