[EigenLord]

This is very cool and definitely a step in the right direction, however, the question remains where exactly this formalizing module should be placed in the stack. As an external api, it's clear that the model is not "thinking" in these logical terms, it just provides a translation step. I'd argue it would be better placed during inference test-time compute (as seen in these so-called reasoning models). Better yet, this formalizing step would happen at a lower level entirely, internal to the model, but that would probably require totally new architectures.