Research Program — Structure Recognition
This portfolio is the program navigation hub for a unified long-term research program investigating how humans discover structure, assign meaning to it, and generate research questions.
The program began with specific Boolean function phenomena observed in Karnaugh maps and has expanded into a broader meta-theoretical framework — Structure Recognition Theory (SRT) — with branches into human-AI collaboration and AI education.
Paper 1 — Karnaugh Map Structure Invariance
Paper 2 — Symmetric Boolean Function Visual Patterns
Paper 3 — Variable Rearrangement Invariance
↓
Theoretical Integration Layer
Paper 4 — Structure Recognition Theory (SRT)
↓
Application Domains
Human-AI Collaboration · AI Education · Structure-Based Mathematics
Repositories
KMap Structure Invariance
Visual pattern analysis of 4-variable Karnaugh maps. XOR/XNOR checkerboard structures and structural regularity under Gray code arrangements.
Status: Stable · GitHub
Symmetric Boolean Functions
Symmetric Boolean functions visualized through Hamming Weight layers. Ring structures and layer-based pattern interpretation.
Status: Stable · GitHub
Variable Rearrangement Invariance
Structural invariance under variable rearrangement. Equivalence classes and symmetry preservation across 24 variable arrangements (S₄ group).
Status: Active — figures pending · GitHub
Structure Recognition Theory
Meta-theoretical framework explaining how humans detect explanatory significance. Hypotheses H1–H7 on structure discovery and research generation.
Status: Active — early-stage framework · GitHub
Human-AI Research Collaboration
Methods, observations, and case studies on long-term Human-AI research collaboration. Externalized memory, AI-to-AI handover, and multi-session continuity.
Status: Active — collecting cases · GitHub
Research Portfolio
Program navigation hub. Concept genealogy, research timeline, summer planning, and cross-repository links.
Status: Active · GitHub
ANTIGRAVITY
AI collaboration workspace maintaining continuity between research sessions. Handover documents, session logs, and operating principles.
Status: Monitoring · GitHub
GitHub Profile (inha20)
Public entry point to the research program. Research overview, repository grid, and concept genealogy for external visitors.
Status: Active · GitHub
Concept Genealogy
The sequence below records the actual historical development of the research program — not a logical reconstruction, but a trace of discovery. Preserving this history is part of the research.
First observation: XOR/XNOR checkerboard patterns in Karnaugh maps
Discovery: Hamming Weight layers explain symmetric function pattern positions
Observation: different variable arrangements can yield structurally identical patterns
Question: what exactly is preserved across variable rearrangements?
Meta-question: why do certain structures become research-worthy while others do not?
Observation: humans discover structure; AI expands explanation space — division of cognitive labor
AI Collaboration Education · Structure-Based Elementary Mathematics · Formal Publication
Summer 2026 Phase Plan
Current phase: Phase 1 — Repository Stabilization (completed). Advancing to Phase 3 — GitHub Pages.
| Phase | Scope | Target | Status |
|---|---|---|---|
| Phase 1 | Repository stabilization, README updates | June 5–18 | ✅ Complete |
| Phase 2 | Figure standardization (human-created style) | June 20 | 🟡 Partial |
| Phase 3 | GitHub Pages construction — all 8 repositories | June 21 – July 17 | 🟡 In Progress |
| Phase 4 | Repository content improvement | July 1–21 | ⬜ Pending |
| Phase 5 | Search discoverability | July 14–31 | ⬜ Pending |
| Phase 6 | Future projects exploration | August | ⬜ Pending |