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.

Objects
sales, inventory, staffing, pricing, customer-experience charts
Morphisms
restriction maps over demand-inventory, demand-staffing, pricing-customer, and inventory-customer overlaps
Sections
local operational states and truth values
Gluing
claims or artifacts admitted when local sections agree on overlaps
Obstructions
qualified, review, or quarantine cells where gluing fails
Kan View
manual baseline for extending local store state into global operational guidance
Prometheus placeholders

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.

5decision regions
4consistency checks
1blocked decisions

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

sales movementinventory pressurestaffing capacitycustomer experience

Integrated Sheaves

Generated sheafSingle-cover Odyssey demo

This demo uses one generated sheaf cover.

Cross-Sheaf Bridges

Single sheaf modelNo cross-sheaf bridges for this demo yet.
ready

Recommended Next Actions

  1. Refresh demand and inventory after the next sales window.
  2. Hold promotion changes until customer response evidence is stronger.
  3. Route staffing adjustments through the validated demand/staffing overlap.

Decision Guardrail

Do not trust promotion recommendations until pricing and customer evidence agree.

Evidence Layer

Scylla keeps the user-facing view concise. Prometheus remains available when the internal audit is needed.