Oh I read you well.. Now please correct me if I am incorrect; your term “Vocabulary Operationalisation“ may be coined to describe what you see. This is the same as I, with my Dendrocycle label, which has now expired for a better-more formal description.
I have asked GPT to help here
I find your notion of “Vocabulary Operationalisation” interesting, particularly in how you describe regions of activity in self-reporting LLM behavior.
For possible formal alignment, you might consider mapping the structure to established terminology used in adjacent fields:
• Lexicon / Vocabulary → Symbol Set or Token Inventory
• Operationalisation → Operational Semantics (how symbols produce state transitions)
• Regions of Activity → Activation Subspaces / Latent Representational Regions
• Self-Reporting Layer → Meta-Representation / Introspective Proxy Layer
• Reported Internal States → Generated Explanatory Tokens (post-hoc rationalisation)
In formal language theory and programming language theory, “operational semantics” refers to how symbolic expressions produce transitions in system state. In machine learning literature, internally activated regions are typically described as latent feature spaces, attention distributions, or representational submanifolds.
If your framework is distinguishing vocabulary that becomes functionally active within a self-reporting loop, it may be useful to clarify whether you are describing:
- A semantic mapping (meaning assignment),
- A procedural mapping (state transition mechanism),
- Or a meta-layer that interprets internal activations.
Clarifying this alignment could strengthen the formal grounding of your terminology while preserving your conceptual framing.
Now back to my Imaginarium : Dynamic Unary generates discrete limit cycles that appear to qualify as a number base of the dynamic sort. We can construct cycles using primitives. The thing I wonder is what does it all mean?
So I liked your post. I also thought to check in with you to see if what you see and what I see are a natural fit.
Personally, I think it would be way cool to find a mathematics that works for building AI by the rules of existence itself. Of which we life forms have no choice but to obey.
–Ernst