A new axiomatization for involutive monoidal t-norm-based logic

On the real unit interval, the notion of a Girard monoid coincides with the notion of a t-norm-based residuated lattice with strong induced negation. A geometrical approach toward these Girard monoids, based on the notion of rotation invariance, is turned in an adequate axiomatization for the Involutive Monoidal T-norm-based residuated Logic (IMTL).