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You execute a TOML-defined formula by invoking it by name, which resolves the path, validates the schema, batches variables, and runs the DAG of steps in parallel where dependencies permit. This ensures deterministic, idempotent execution.

DAG step sequencing builds a dependency graph of formula steps and executes bands of steps in parallel where dependencies allow. It enforces single-writer state mutations and append-only journaling to maintain strict execution guards and deterministic outputs.

Yes, you can resolve TOML formulas across project-local, private overlay, and public profile sources. The resolution process locates the correct formula path and validates the TOML schema before staging required variables for dispatch and execution.

The best way to handle post and dispatch semantics is using optional flags (--post and --dispatch) with explicit second invocations. This enforces explicit exit-criteria verification and append-only journaling for safe, repeatable formula runs.

Formula execution requires strict single-writer state mutations and append-only journals to enforce deterministic inputs and safe state changes. These guards prevent race conditions during parallel DAG step execution and ensure repeatable, idempotent formula runs.