{
  "code": null,
  "collection": "algorithms",
  "href": "https://banes-lab.com/ontology/algorithms#algorithms-pag-constraint-boundary",
  "id": "pag-constraint-boundary",
  "kind": "algorithm",
  "layer": null,
  "name": "PAG Invariant Record",
  "ref": "algorithms:pag-constraint-boundary",
  "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/reasoning#stage-constrain",
          "json": "https://banes-lab.com/json/records/stage/constrain",
          "label": "constrain",
          "markdown": "https://banes-lab.com/records/stage/constrain.md",
          "ref": "stage:constrain"
        }
      ],
      "relation": "stage"
    },
    {
      "links": [
        {
          "href": "https://banes-lab.com/ontology/reasoning#reasoning-axis-teleology",
          "json": "https://banes-lab.com/json/records/reasoning/axis-teleology",
          "label": "teleology",
          "markdown": "https://banes-lab.com/records/reasoning/axis-teleology.md",
          "ref": "reasoning:axis-teleology"
        }
      ],
      "relation": "axis"
    },
    {
      "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/algorithms#algorithms-pag-authoring-kernel",
          "json": "https://banes-lab.com/json/records/algorithms/pag-authoring-kernel",
          "label": "PAG Authoring Kernel",
          "markdown": "https://banes-lab.com/records/algorithms/pag-authoring-kernel.md",
          "ref": "algorithms:pag-authoring-kernel"
        }
      ],
      "relation": "composed-by"
    },
    {
      "links": [
        {
          "href": "https://banes-lab.com/ontology/algorithms#algorithms-pag-authoring-kernel",
          "json": "https://banes-lab.com/json/records/algorithms/pag-authoring-kernel",
          "label": "PAG Authoring Kernel",
          "markdown": "https://banes-lab.com/records/algorithms/pag-authoring-kernel.md",
          "ref": "algorithms:pag-authoring-kernel"
        }
      ],
      "relation": "derived-by"
    },
    {
      "links": [
        {
          "href": "https://banes-lab.com/ontology/reasoning#reasoning-math-type-optimization",
          "json": "https://banes-lab.com/json/records/reasoning/math-type-optimization",
          "label": "Optimization",
          "markdown": "https://banes-lab.com/records/reasoning/math-type-optimization.md",
          "ref": "reasoning:math-type-optimization"
        }
      ],
      "relation": "math-type"
    },
    {
      "links": [
        {
          "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-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"
        },
        {
          "href": "https://banes-lab.com/ontology/schema#force-security-governance",
          "json": "https://banes-lab.com/json/records/force/security-governance",
          "label": "Security governance",
          "markdown": "https://banes-lab.com/records/force/security-governance.md",
          "ref": "force:security-governance"
        }
      ],
      "relation": "force"
    },
    {
      "links": [
        {
          "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#reasoning-loop-derivation-loop",
          "json": "https://banes-lab.com/json/ontology/reasoning/reasoning-loop-derivation-loop",
          "label": "The derivation loop",
          "markdown": "https://banes-lab.com/ontology/reasoning/reasoning-loop-derivation-loop.md",
          "ref": "chapter:/ontology/reasoning#reasoning-loop-derivation-loop"
        },
        {
          "href": "https://banes-lab.com/ontology/reasoning#the-axes",
          "json": "https://banes-lab.com/json/ontology/reasoning/the-axes",
          "label": "The axes",
          "markdown": "https://banes-lab.com/ontology/reasoning/the-axes.md",
          "ref": "chapter:/ontology/reasoning#the-axes"
        },
        {
          "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": "State every behavioral invariant as a record with four slots: the property in a form that could be false, the set it quantifies over, the parties it binds, and the objector, the check that would disagree if the property stopped holding or none as declared debt, so an unwatched invariant is visible rather than assumed.",
  "siblings": {
    "next": {
      "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"
    },
    "previous": {
      "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"
    }
  },
  "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-constraint-boundary/closure"
}
