Quotient and context semantic transport
Context classes and quotient representations can compress repeated semantic behavior without changing exact decisions.
Diagnostic work, exact algebra and local capabilities are not treated as end-to-end mining advantage.
What was tested?
Context classes and quotient representations can compress repeated semantic behavior without changing exact decisions.
Why the test is meaningful
A quotient representation groups states only when they induce identical observable behavior at the declared interface. This is a lossless semantic equivalence relation, unlike statistical clustering: members of one class must produce the same transported decision for all registered inputs.
x ~ y ⇔ D(F(x,c)) = D(F(y,c)) for every registered cQ = X / ~dispatch(x) = representative([x])How it was tested
Partition registered interfaces into semantic classes, compile representative transitions and validate class-dispatched results against direct computation.
What happened
The quotient/context transport package completed its exactness gates across seven variants.
Exactness and statistical controls
Class membership, representative output and direct output were audited independently across seven variants. Passing the exactness gate shows lossless compression on the registered domain; no inference was made from class frequency alone.
What the result means
Repeated behavior can be represented more compactly, but class construction and dispatch are part of the eventual operational cost.
Limitations
- Building and storing the quotient has a cost.
- A quotient may be context-specific and require recompilation for another job.
- Fewer semantic classes do not automatically mean fewer hardware gates.
Evidence trail
Class membership and representative outputs are deterministic and checked against direct state evaluation.
Canonical variants
SUBENGINE-V4ASUBENGINE-V4BSUBENGINE-V4CSUBENGINE-V4DSUBENGINE-V4ESUBENGINE-V4FSUBENGINE-V4GSource: internally audited canonical reports. Local filesystem structure, private headers and operational identifiers are excluded from publication.