Standard completeness for extensions of IMTL
Paolo Baldi, Agata Ciabattoni, Francesca Gulisano · 2017
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.