{
  "code": null,
  "collection": "algorithms",
  "href": "https://banes-lab.com/ontology/algorithms#algorithms-pag-authoring-kernel",
  "id": "pag-authoring-kernel",
  "kind": "algorithm",
  "layer": null,
  "name": "PAG Authoring Kernel",
  "ref": "algorithms:pag-authoring-kernel",
  "relations": [
    {
      "links": [
        {
          "href": "https://banes-lab.com/ontology/algorithms#algorithms-domain-pag",
          "json": "https://banes-lab.com/json/records/algorithms-domain/pag",
          "label": "Pattern Abstract Grammar",
          "markdown": "https://banes-lab.com/records/algorithms-domain/pag.md",
          "ref": "algorithms-domain:pag"
        }
      ],
      "relation": "domain"
    },
    {
      "links": [
        {
          "href": "https://banes-lab.com/ontology/schema#vocabulary-domain-tier-process",
          "json": "https://banes-lab.com/json/records/vocabulary/domain-tier-process",
          "label": "process",
          "markdown": "https://banes-lab.com/records/vocabulary/domain-tier-process.md",
          "ref": "vocabulary:domain-tier-process"
        }
      ],
      "relation": "tier"
    },
    {
      "links": [
        {
          "href": "https://banes-lab.com/ontology#architecture-explicit-contracts",
          "json": "https://banes-lab.com/json/records/architecture/explicit-contracts",
          "label": "Explicit Contracts",
          "markdown": "https://banes-lab.com/records/architecture/explicit-contracts.md",
          "ref": "architecture:explicit-contracts"
        }
      ],
      "relation": "principle"
    },
    {
      "links": [
        {
          "href": "https://banes-lab.com/ontology/algorithms#algorithms-pag-document-declaration",
          "json": "https://banes-lab.com/json/records/algorithms/pag-document-declaration",
          "label": "PAG Document Declaration",
          "markdown": "https://banes-lab.com/records/algorithms/pag-document-declaration.md",
          "ref": "algorithms:pag-document-declaration"
        },
        {
          "href": "https://banes-lab.com/ontology/algorithms#algorithms-pag-keyword-ontology",
          "json": "https://banes-lab.com/json/records/algorithms/pag-keyword-ontology",
          "label": "PAG Keyword Ontology",
          "markdown": "https://banes-lab.com/records/algorithms/pag-keyword-ontology.md",
          "ref": "algorithms:pag-keyword-ontology"
        },
        {
          "href": "https://banes-lab.com/ontology/algorithms#algorithms-pag-node-decomposition",
          "json": "https://banes-lab.com/json/records/algorithms/pag-node-decomposition",
          "label": "PAG Node Decomposition",
          "markdown": "https://banes-lab.com/records/algorithms/pag-node-decomposition.md",
          "ref": "algorithms:pag-node-decomposition"
        },
        {
          "href": "https://banes-lab.com/ontology/algorithms#algorithms-pag-validation-gate",
          "json": "https://banes-lab.com/json/records/algorithms/pag-validation-gate",
          "label": "PAG Handoff Gate",
          "markdown": "https://banes-lab.com/records/algorithms/pag-validation-gate.md",
          "ref": "algorithms:pag-validation-gate"
        },
        {
          "href": "https://banes-lab.com/ontology/algorithms#algorithms-pag-explicit-control-flow",
          "json": "https://banes-lab.com/json/records/algorithms/pag-explicit-control-flow",
          "label": "PAG Explicit Control Flow",
          "markdown": "https://banes-lab.com/records/algorithms/pag-explicit-control-flow.md",
          "ref": "algorithms:pag-explicit-control-flow"
        },
        {
          "href": "https://banes-lab.com/ontology/algorithms#algorithms-pag-tool-invocation",
          "json": "https://banes-lab.com/json/records/algorithms/pag-tool-invocation",
          "label": "PAG Semantic Operation",
          "markdown": "https://banes-lab.com/records/algorithms/pag-tool-invocation.md",
          "ref": "algorithms:pag-tool-invocation"
        },
        {
          "href": "https://banes-lab.com/ontology/algorithms#algorithms-pag-coordination-construct",
          "json": "https://banes-lab.com/json/records/algorithms/pag-coordination-construct",
          "label": "PAG Structure Declaration",
          "markdown": "https://banes-lab.com/records/algorithms/pag-coordination-construct.md",
          "ref": "algorithms:pag-coordination-construct"
        },
        {
          "href": "https://banes-lab.com/ontology/algorithms#algorithms-pag-constraint-boundary",
          "json": "https://banes-lab.com/json/records/algorithms/pag-constraint-boundary",
          "label": "PAG Invariant Record",
          "markdown": "https://banes-lab.com/records/algorithms/pag-constraint-boundary.md",
          "ref": "algorithms:pag-constraint-boundary"
        }
      ],
      "relation": "composes"
    },
    {
      "links": [
        {
          "href": "https://banes-lab.com/ontology/reasoning#reasoning-loop-derivation-loop",
          "json": "https://banes-lab.com/json/records/reasoning/loop-derivation-loop",
          "label": "derivation-loop",
          "markdown": "https://banes-lab.com/records/reasoning/loop-derivation-loop.md",
          "ref": "reasoning:loop-derivation-loop"
        }
      ],
      "relation": "grounds"
    },
    {
      "links": [
        {
          "href": "https://banes-lab.com/ontology/algorithms#algorithms-pag-well-formedness-validation",
          "json": "https://banes-lab.com/json/records/algorithms/pag-well-formedness-validation",
          "label": "PAG Well-Formedness Validation",
          "markdown": "https://banes-lab.com/records/algorithms/pag-well-formedness-validation.md",
          "ref": "algorithms:pag-well-formedness-validation"
        }
      ],
      "relation": "derivation"
    },
    {
      "links": [
        {
          "href": "https://banes-lab.com/ontology/reasoning#reasoning-math-type-computation",
          "json": "https://banes-lab.com/json/records/reasoning/math-type-computation",
          "label": "Computation",
          "markdown": "https://banes-lab.com/records/reasoning/math-type-computation.md",
          "ref": "reasoning:math-type-computation"
        }
      ],
      "relation": "math-type"
    },
    {
      "links": [
        {
          "href": "https://banes-lab.com/ontology/schema#force-contract-compatibility",
          "json": "https://banes-lab.com/json/records/force/contract-compatibility",
          "label": "Contract compatibility",
          "markdown": "https://banes-lab.com/records/force/contract-compatibility.md",
          "ref": "force:contract-compatibility"
        },
        {
          "href": "https://banes-lab.com/ontology/schema#force-correctness-verification",
          "json": "https://banes-lab.com/json/records/force/correctness-verification",
          "label": "Correctness verification",
          "markdown": "https://banes-lab.com/records/force/correctness-verification.md",
          "ref": "force:correctness-verification"
        },
        {
          "href": "https://banes-lab.com/ontology/schema#force-metaprogramming-modeling",
          "json": "https://banes-lab.com/json/records/force/metaprogramming-modeling",
          "label": "Metaprogramming modeling",
          "markdown": "https://banes-lab.com/records/force/metaprogramming-modeling.md",
          "ref": "force:metaprogramming-modeling"
        },
        {
          "href": "https://banes-lab.com/ontology/schema#force-model-governance",
          "json": "https://banes-lab.com/json/records/force/model-governance",
          "label": "Model governance",
          "markdown": "https://banes-lab.com/records/force/model-governance.md",
          "ref": "force:model-governance"
        }
      ],
      "relation": "force"
    },
    {
      "links": [
        {
          "href": "https://banes-lab.com/ontology#architecture-category-contracts-interfaces-compatibility",
          "json": "https://banes-lab.com/json/ontology/principles/architecture-category-contracts-interfaces-compatibility",
          "label": "Contracts / Interfaces / Compatibility",
          "markdown": "https://banes-lab.com/ontology/principles/architecture-category-contracts-interfaces-compatibility.md",
          "ref": "chapter:/ontology#architecture-category-contracts-interfaces-compatibility"
        },
        {
          "href": "https://banes-lab.com/ontology/algorithms#algorithms-domain-pag",
          "json": "https://banes-lab.com/json/ontology/algorithms/algorithms-domain-pag",
          "label": "Pattern Abstract Grammar",
          "markdown": "https://banes-lab.com/ontology/algorithms/algorithms-domain-pag.md",
          "ref": "chapter:/ontology/algorithms#algorithms-domain-pag"
        },
        {
          "href": "https://banes-lab.com/ontology/reasoning#the-mathematics",
          "json": "https://banes-lab.com/json/ontology/reasoning/the-mathematics",
          "label": "The mathematics",
          "markdown": "https://banes-lab.com/ontology/reasoning/the-mathematics.md",
          "ref": "chapter:/ontology/reasoning#the-mathematics"
        },
        {
          "href": "https://banes-lab.com/ontology/schema#the-vocabulary-domain-tier",
          "json": "https://banes-lab.com/json/ontology/schema/the-vocabulary-domain-tier",
          "label": "Domain tiers",
          "markdown": "https://banes-lab.com/ontology/schema/the-vocabulary-domain-tier.md",
          "ref": "chapter:/ontology/schema#the-vocabulary-domain-tier"
        },
        {
          "href": "https://banes-lab.com/ontology/schema#the-forces",
          "json": "https://banes-lab.com/json/ontology/schema/the-forces",
          "label": "The forces",
          "markdown": "https://banes-lab.com/ontology/schema/the-forces.md",
          "ref": "chapter:/ontology/schema#the-forces"
        }
      ],
      "relation": "linked-from"
    }
  ],
  "summary": "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.",
  "siblings": {
    "next": {
      "href": "https://banes-lab.com/ontology/algorithms#algorithms-pag-well-formedness-validation",
      "json": "https://banes-lab.com/json/records/algorithms/pag-well-formedness-validation",
      "label": "PAG Well-Formedness Validation",
      "markdown": "https://banes-lab.com/records/algorithms/pag-well-formedness-validation.md",
      "ref": "algorithms:pag-well-formedness-validation"
    },
    "previous": {
      "href": "https://banes-lab.com/ontology/algorithms#algorithms-pag-ambiguity-reduction",
      "json": "https://banes-lab.com/json/records/algorithms/pag-ambiguity-reduction",
      "label": "PAG Ambiguity Reduction",
      "markdown": "https://banes-lab.com/records/algorithms/pag-ambiguity-reduction.md",
      "ref": "algorithms:pag-ambiguity-reduction"
    }
  },
  "up": {
    "href": null,
    "json": "https://banes-lab.com/json/api/records/algorithms",
    "label": "Algorithm contracts",
    "markdown": "https://banes-lab.com/api/records/algorithms.md",
    "ref": "api:records/algorithms"
  },
  "closure": "https://banes-lab.com/json/records/algorithms/pag-authoring-kernel/closure"
}