Core Equations

KO42 watch — idle → computing → verified when value crosses your thresholds; auto-logged with a ZeqProof per transition. All 7 core Zeq equations plus the ZTB1 timebase bridge. Master equation coefficients an

Category	Foundations
Template ID	core-equations
Definition	core_equations v1.0
States	4 (initial: idle; terminal: logged)
Transitions	4
Operators composed	KO42
Audit clock	on · tick rate 1

What it's for

• Core Equations
• Threshold monitoring
• Audited value alerting

States

State	Role
idle	initial
computing	intermediate
verified	intermediate
logged	terminal

Transitions

From	To	Operator	Fires when	Proof	Trigger / actions
idle	computing	KO42	input.value > input.value_watch	required	—
computing	verified	KO42	input.value > input.value_alert	required	—
computing	idle	KO42	input.value <= input.value_watch	required	—
verified	logged	KO42	input.acknowledged == true	no	—

Operators it composes

Each transition fires a registry operator: the operator's closed-form solver runs, then the result is proved and verified (compute → prove → verify). The verbatim equation is recorded on the audit row as master_equation_block. This template composes:

• KO42

Browse the operators at /operators/; the building blocks a transition calls are the framework's protocols. KO42 is the always-on substrate operator; physics operators carry proof_required: true, so each fire runs the full compute → prove → verify path and lands a verifiable proof digest on your entangled state.

Deploy it

Inspect the full definition, then deploy it onto your state machine. Every fire is Zeqond-stamped onto your entangled state.

# 1. Inspect — the full definition (states, transitions, operators) as served
curl -sS https://zeqsdk.com/api/contracts/templates/core-equations

# 2. Deploy onto your machine (auth: session; body carries your machine slug)
curl -sS -X POST https://zeqsdk.com/api/contracts/templates/core-equations/deploy \
  -H "Content-Type: application/json" \
  -b "<your session cookie>" \
  -d '{"slug":"<your-machine>"}'
# → 201 { "ok": true, "contract": { "id": "…", "currentState": "idle", … },
#         "template_id": "core-equations" }

The deploy path runs the same two-stage validation as the canonical create route (ContractDefinitionSchema.parse + validateContractDefinition against the live registry), writes the creation row onto your entangled state, and schedules the first fire. From there, drive transitions with POST /api/chain/<your-machine>/contracts/<id>/transition or let any triggers fire them autonomously.

Next

• Contract IDE — author, preview, and deploy contracts (this template is in the Templates tab).
• State Contracts — the full contract model: conditions, triggers, pre/post actions, lifecycle.
• Templates Library — every ready-to-deploy contract, grouped by category.
• Protocols — the named building blocks a transition composes.