Drive ACSet Skill
Transform Google Drive into a GF(3)-conserving algebraic database system.
Trit: 0 (ERGODIC - coordinator)
Principle: Organized Drive = Condensed State
Implementation: DriveACSet + TriadicQueues + SaturationDetector
DriveACSet Schema
┌────────────────────────────────────────────────────────────────────┐
│ DriveACSet Schema │
├────────────────────────────────────────────────────────────────────┤
│ │
│ File ──────────┬────▶ Folder │
│ ├─ file_id │ ├─ folder_id: String │
│ ├─ name │ ├─ name: String │
│ ├─ mime_type │ └─ parent ─────────▶ Folder (self-ref) │
│ ├─ size │ │
│ └─ parent ─────┘ │
│ │
│ Permission ────┬────▶ File | Folder │
│ ├─ role │ ├─ reader | commenter | writer | owner │
│ └─ share_with ─┼──▶ └─ email | domain | anyone │
│ │ │
│ Revision ──────┼────▶ File │
│ ├─ rev_id │ ├─ modified_time │
│ └─ modified_by ┘ └─ keep_forever: Bool │
│ │
│ QueueItem ─────┼────▶ Agent3 │
│ ├─ interaction │ ├─ fiber: Trit {-1, 0, +1} │
│ └─ agent ──────┘ └─ name: String │
└────────────────────────────────────────────────────────────────────┘
Objects
| Object | Description | Trit Role |
|--------|-------------|-----------|
| File | Drive file with metadata | Data |
| Folder | Hierarchical container | Aggregate |
| Permission | ACL entry for sharing | Edge |
| Revision | File version history | Temporal |
| Agent3 | Queue fiber (MINUS/ERGODIC/PLUS) | Router |
| QueueItem | Links Interaction → Agent3 | Edge |
GF(3) Verb Typing
Drive operations assigned trits by information flow:
VERB_TRIT_MAP = {
# MINUS (-1): Read/Validate
"get": -1, "search": -1, "list": -1,
"download": -1, "get_content": -1,
# ERGODIC (0): Coordinate/Permissions
"share": 0, "permissions": 0, "move": 0,
"rename": 0, "update_metadata": 0,
# PLUS (+1): Create/Execute
"create": +1, "upload": +1, "copy": +1,
"export": +1, "transfer_ownership": +1,
}
MCP Tool → Trit Mapping
| Tool | Trit | Description |
|------|------|-------------|
| search_drive_files | -1 | Search files (MINUS) |
| get_drive_file_content | -1 | Read file (MINUS) |
| list_drive_items | -1 | List folder (MINUS) |
| get_drive_file_permissions | -1 | Check perms (MINUS) |
| share_drive_file | 0 | Share file (ERGODIC) |
| update_drive_permission | 0 | Modify perms (ERGODIC) |
| update_drive_file | 0 | Update metadata (ERGODIC) |
| create_drive_file | +1 | Create file (PLUS) |
| transfer_drive_ownership | +1 | Transfer owner (PLUS) |
Triadic Queue Routing
┌─────────────────────────────────────────┐
│ DRIVE TRIADIC QUEUES │
├─────────────────────────────────────────┤
│ │
DriveAction ────▶│ route(trit) ───▶ Agent3 Fiber │
│ │
│ MINUS (-1) ────▶ [get, search, list] │
│ ERGODIC (0) ────▶ [share, permissions] │
│ PLUS (+1) ────▶ [create, upload] │
│ │
└─────────────────────────────────────────┘
Saturation Detection
def is_drive_saturated(folder_id: str) -> bool:
"""Folder saturated when:
1. All files have stable permissions
2. No pending changes in window N
3. GF(3) cycle closure: sum(trits) ≡ 0 (mod 3)
"""
history = detector.history[folder_id][-N:]
cycle_sum = sum(t for t in folder.gf3_cycle[-3:])
return (
all(s == history[0] for s in history) and
(cycle_sum % 3) == 0
)
def detect_organized_state() -> Dict:
"""Drive at condensed state when:
1. All folders saturated
2. Permission graph stable
3. GF(3) conserved globally
"""
return {
"organized": all_saturated and gf3_conserved,
"condensed_fingerprint": sha256(sorted_file_tree),
}
Source Files
| File | Description | Trit | |------|-------------|------| | drive_acset.py | ACSet schema + hierarchy | 0 | | drive_mcp_bridge.py | MCP tool wiring | 0 | | permission_graph.py | ACL graph analysis | -1 |
Workflows
Workflow 1: Organize Folder to Condensed State
from drive_mcp_bridge import create_drive_bridge
from drive_acset import DriveACSet
bridge = create_drive_bridge("user@gmail.com")
acset = DriveACSet()
# MINUS: List and analyze
items = bridge.list_drive_items(folder_id="root")
for item in items:
acset.add_file(item) if item.is_file else acset.add_folder(item)
# ERGODIC: Normalize permissions
for file in acset.files_needing_permission_fix():
bridge.share_drive_file(file.id, share_with="team@domain.com", role="reader")
# PLUS: Create missing structure
bridge.create_drive_file(file_name="README.md", folder_id=folder_id, content="# Index")
Workflow 2: Permission Audit with GF(3) Guard
# MINUS: Check permissions
perms = bridge.get_drive_file_permissions(file_id)
# ERGODIC: Update if needed (requires prior MINUS)
if needs_update(perms):
bridge.update_drive_permission(file_id, permission_id, role="commenter")
# Verify GF(3) balance
assert acset.gf3_residue() == 0
Workflow 3: Batch File Organization
batch = create_triadic_batch(
payloads=["list_root", "share_docs", "create_index"],
folder_id="team_folder",
seed=1069
)
for interaction in batch:
system.enqueue(interaction)
stats = system.full_statistics()
print(f"GF(3) Residue: {stats['gf3_residue']}") # 0
Integration with Other Skills
| Skill | Trit | Integration | |-------|------|-------------| | google-workspace | 0 | MCP tool provider | | gmail-anima | 0 | Cross-product via attachments | | gay-mcp | +1 | SplitMixTernary RNG | | sheaf-cohomology | -1 | H¹ obstruction on folder tree |
GF(3) Triadic Conservation
drive-acset (0) ⊗ search (-1) ⊗ create (+1) = 0 ✓
get (-1) ⊗ share (0) ⊗ upload (+1) = 0 ✓
list (-1) ⊗ permissions (0) ⊗ copy (+1) = 0 ✓
Skill Name: drive-acset
Type: File Management / ACSet Framework
Trit: 0 (ERGODIC - coordinator)
GF(3): Conserved via triadic queue routing
Principle: Organized Drive = Condensed State
Scientific Skill Interleaving
This skill connects to the K-Dense-AI/claude-scientific-skills ecosystem:
Annotated Data
- anndata [○] via bicomodule
Bibliography References
general: 734 citations in bib.duckdb
Cat# Integration
This skill maps to Cat# = Comod(P) as a bicomodule in the equipment structure:
Trit: 0 (ERGODIC)
Home: Prof
Poly Op: ⊗
Kan Role: Adj
Color: #26D826
GF(3) Naturality
The skill participates in triads satisfying:
(-1) + (0) + (+1) ≡ 0 (mod 3)
This ensures compositional coherence in the Cat# equipment structure.