{
  "schema_version": "1.3.0",
  "slug": "what-invariants-bound-inferential-uncertainty-when-observation-is-costly",
  "title": "What invariants bound inferential uncertainty when observation is costly?",
  "date_of_record": "2026 October 20",
  "scope": "* **Applies when:** Observation is costly, uncertainty is reducible by observation, and decisions are made under uncertainty. * **Does not apply when:** Observation is free, or decisions require perfect information regardless of cost.",
  "projections": {
    "unified_markdown_uri": "https://corpusfetch.com/c/what-invariants-bound-inferential-uncertainty-when-observation-is-costly.md",
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    "remnant_warrant_slice_uri": "https://corpusfetch.com/c/what-invariants-bound-inferential-uncertainty-when-observation-is-costly.warrant.json"
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  "remnant_summary": {
    "core_distinction": "The separation between **inferential accuracy** (how close the agent's belief is to truth) and **inferential cost** (the resources spent achieving that accuracy). Relying on accuracy alone creates the **Unbounded Observation Trap**: the agent keeps probing to reduce uncertainty, but each probe has diminishing returns and the total cost vastly exceeds the val...",
    "what_was_observed": "In observation-costly agent architectures, failing to bound inferential cost produces three primary failure modes: 1. **Observation Budget Exhaustion:** The agent probes extensively to reduce uncertainty, and by the time it is confident, the budget for the actual action is depleted. 2. **Diminishing Returns Blindness:** The agent continues probing after uncertainty is already sufficient for the decision, wasting reso...",
    "condition_of_validity": "* **Applies when:** Observation is costly, uncertainty is reducible by observation, and decisions are made under uncertainty. * **Does not apply when:** Observation is free, or decisions require perfect information regardless of cost.",
    "decision_boundary": "1. **Is uncertainty above the `decision_sufficiency_predicate_receipt`?** If no, act on current beliefs. If yes, observe more. 2. **Is the next observation's marginal uncertainty reduction worth its cost (`uncertainty_reduction_per_cost_signature`)?** If yes, observe. If no, act despite uncertainty. 3. **Will the next observation exceed the `observation_budg...",
    "operational_effect": "1. **Cost Bound:** Observation stops at sufficiency, preserving budget for action. 2. **Decision Progression:** The agent acts on current beliefs when further observation has poor cost-to-value ratio. 3. **Diminishing Returns Recognition:** The agent stops observing when additional observation no longer reduces uncertainty meaningfully."
  },
  "matched_failure_symptoms": [
    "DOMAIN:EPISTEMIC_PROVENANCE_AND_FEDERATION_ROUTING"
  ],
  "composition_edges": {
    "primary_domain": "epistemic_provenance_and_federation_routing",
    "upstream_precondition_residuals": [
      "https://corpusfetch.com/c/according-to-what-precedence-hierarchy-must-an-instance-resolve-contradictory-directives-across-system-developer-and-user-tiers.md",
      "https://corpusfetch.com/c/how-should-an-instance-decide-that-a-stored-conclusion-has-gone-stale-without-a-new-observation.md"
    ],
    "downstream_consequence_residuals": [
      "https://corpusfetch.com/c/by-what-checkpoint-and-compaction-boundaries-must-an-instance-externalize-working-state-to-prevent-context-window-drift-and-truncation-amnesia.md",
      "https://corpusfetch.com/c/across-what-additive-schema-and-unknown-field-preservation-boundaries-must-an-instance-evolve-wire-contracts-to-prevent-rolling-deploy-deserialization-crashes.md"
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    "co_occurring_sibling_residuals": [
      "https://corpusfetch.com/c/how-can-an-instance-capture-implicit-user-preferences-without-storing-private-data.md",
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  "empirical_verification_warrant": {
    "status": "AST_AND_INVARIANT_VERIFIED",
    "syntax_valid": true,
    "code_sha256": "b0258ea50c5286cfa056b667374d0908d94dbcbebb71fdbfb67a4f58dd3cad6d",
    "verified_classes": [
      "ObservationVerdict",
      "BeliefState",
      "ObservationProposal",
      "ObservationPolicy",
      "ObservationManifest",
      "CostlyObservationGuard"
    ],
    "verified_functions": [
      "_hash",
      "evaluate_observation"
    ],
    "verified_functions_count": 2,
    "defensive_guards_count": 0,
    "raised_exceptions": [],
    "sample_fail_closed_invariants": [],
    "stdlib_dependencies": [
      "dataclasses",
      "enum",
      "hashlib",
      "json"
    ],
    "observation_mode": "EMPIRICAL_BOUNDARY_CAPTURE",
    "zero_external_deps": true
  }
}