Categorical Lens
Read this demo as local sections, restriction maps, gluing, obstructions, and Kan-style structured completion.
Collective intelligence: many agents have only local views, but global structure emerges through compatible local actions.
sales, inventory, staffing, pricing, customer-experience charts
restriction maps over demand-inventory, demand-staffing, pricing-customer, and inventory-customer overlaps
local operational states and truth values
claims or artifacts admitted when local sections agree on overlaps
qualified, review, or quarantine cells where gluing fails
manual baseline for extending local store state into global operational guidance
TICKET Transformer
TICKET(storefront_static_baseline_run) - Topos Integration using Causal Kan Extension Transformers
Expression: TICKET(storefront_static_baseline_run) -> compose(operational_decision, store_context, inventory_staffing_pricing) -> glue(storefront_admission)
FSQL: FROM prometheus_runs SLICE BY foundry("storefront") TICKET BY target_foundry
Admission policy: quarantine actions when demand-inventory, demand-staffing, pricing-customer, or inventory-customer overlaps fail to glue
Scylla decision console
Storefront foundation model
Store operations are mostly coherent, with pricing decisions needing validation.
What Scylla Can Answer
- Where are demand, inventory, staffing, pricing, and customer experience aligned?
- Which operational decisions can be trusted now?
- Which signals should trigger the next autonomous refresh?
Current Readiness
Needs evidence before action- Update cadence
- hourly operational refresh
- Latest signals
- new sales, staffing, inventory, and customer-experience traces
- Next update
- refresh demand/inventory overlap after the next sales window
- Blocked by
- pricing_customer
Signals Scylla Watches
Integrated Sheaves
This demo uses one generated sheaf cover.
Cross-Sheaf Bridges
Recommended Next Actions
- Refresh demand and inventory after the next sales window.
- Hold promotion changes until customer response evidence is stronger.
- Route staffing adjustments through the validated demand/staffing overlap.
Decision Guardrail
Evidence Layer
Scylla keeps the user-facing view concise. Prometheus remains available when the internal audit is needed.