# PAG Authoring Kernel

> Compose a PAG document as frontmatter and typed declaration, then a meta block with jurisdiction, then nodes each headed by its layer, axis, math type and yields, contracted to read the prior node's output, and closed by a handoff gate with evidence, population, refusal and the three verdicts, drawing directives from the semantic operations, control flow and structure declarations, and closing with invariant records and a report.

Record: `algorithms:pag-authoring-kernel`
Kind: algorithm
Canonical: https://banes-lab.com/ontology/algorithms#algorithms-pag-authoring-kernel
Closure: https://banes-lab.com/json/records/algorithms/pag-authoring-kernel/closure

Listed in [Algorithm contracts](https://banes-lab.com/api/records/algorithms.md), after [PAG Ambiguity Reduction](https://banes-lab.com/records/algorithms/pag-ambiguity-reduction.md) and before [PAG Well-Formedness Validation](https://banes-lab.com/records/algorithms/pag-well-formedness-validation.md).

## Domain

- [Pattern Abstract Grammar](https://banes-lab.com/records/algorithms-domain/pag.md)

## Tier

- [process](https://banes-lab.com/records/vocabulary/domain-tier-process.md)

## Principle

- [Explicit Contracts](https://banes-lab.com/records/architecture/explicit-contracts.md)

## Composes

- [PAG Document Declaration](https://banes-lab.com/records/algorithms/pag-document-declaration.md)
- [PAG Keyword Ontology](https://banes-lab.com/records/algorithms/pag-keyword-ontology.md)
- [PAG Node Decomposition](https://banes-lab.com/records/algorithms/pag-node-decomposition.md)
- [PAG Handoff Gate](https://banes-lab.com/records/algorithms/pag-validation-gate.md)
- [PAG Explicit Control Flow](https://banes-lab.com/records/algorithms/pag-explicit-control-flow.md)
- [PAG Semantic Operation](https://banes-lab.com/records/algorithms/pag-tool-invocation.md)
- [PAG Structure Declaration](https://banes-lab.com/records/algorithms/pag-coordination-construct.md)
- [PAG Invariant Record](https://banes-lab.com/records/algorithms/pag-constraint-boundary.md)

## Grounds

- [derivation-loop](https://banes-lab.com/records/reasoning/loop-derivation-loop.md)

## Derivation

- [PAG Well-Formedness Validation](https://banes-lab.com/records/algorithms/pag-well-formedness-validation.md)

## Math type

- [Computation](https://banes-lab.com/records/reasoning/math-type-computation.md)

## Force

- [Contract compatibility](https://banes-lab.com/records/force/contract-compatibility.md)
- [Correctness verification](https://banes-lab.com/records/force/correctness-verification.md)
- [Metaprogramming modeling](https://banes-lab.com/records/force/metaprogramming-modeling.md)
- [Model governance](https://banes-lab.com/records/force/model-governance.md)

## Linked from

- [Contracts / Interfaces / Compatibility](https://banes-lab.com/ontology/principles/architecture-category-contracts-interfaces-compatibility.md)
- [Pattern Abstract Grammar](https://banes-lab.com/ontology/algorithms/algorithms-domain-pag.md)
- [The mathematics](https://banes-lab.com/ontology/reasoning/the-mathematics.md)
- [Domain tiers](https://banes-lab.com/ontology/schema/the-vocabulary-domain-tier.md)
- [The forces](https://banes-lab.com/ontology/schema/the-forces.md)
