GRAM is something you add onto an LLM... It's not an LLM replacement. It's like an MLA caching layer, an MoE routing layer, or a speculative decoder at the end...
You could certainly bolt GRAM onto an LLM, but that won't magically improve its reasoning.
It's a special-purpose design for constraint-satisfaction problems with simple rules, but complex interactions. E.g. when solving a Sudoku, the set of valid choices at every step is easy to determine, but you could make a series of valid choices that back you into a corner where no more progress is possible and you have to backtrack.
Meanwhile, LLM reasoning failures are more often of the kind where a choice is clearly invalid (as judged by a human observer), but the LLM picks it anyway, because the underlying rule is complex and context-dependent and the model only learned an imperfect approximation that often breaks down.
GRAM won't help with that.
My vision for what might happen: an LLM emits a "neural constraint satisfaction task" in latent space, kicks a "neural tool call" into a non-LLM architecture, runs that architecture, gets a latent answer back, attends to the answer to generate better text answers for problems that benefit from improved constraint-satisfaction.
But that's a very hard thing to implement, and the gains are uncertain. Thus "might".