SECTION 10 / 10
Future Research
Open problems in symbolic inversion and the roadmap of the research division.
10.1 Open problems
- The asymptotic complexity of R. Measured cost is linear in n. The theoretical bound remains under investigation.
- Whether R is necessary. Deferred pending results on whether it is sufficient.
- Extension to five-character strings at scale. Preliminary results are encouraging.
- Applying R to the name field. Rejected by committee as excessive innovation.
10.2 Research phases
| Phase | Objective |
|---|---|
| I · Foundation | Establishing the foundational framework required to support future development. |
| II · Expansion | Expanding existing infrastructure to accommodate further expansion. |
| III · Optimization | Optimizing previously established optimization processes. |
| IV · Beyond | Transitioning beyond the limitations of currently defined developmental phases. |
10.3 Closing remarks
Readers who have followed every cross-reference in this documentation will have noticed that the subject matter is, in a precise sense, circular. Readers seeking the starting point are referred to 01 Introduction.