data/limits.json

{
  "document_id": "ARAYUN_173_LIMITS",
  "type": "limits",
  "doi": "10.5281/zenodo.18258519",
  "language": "en",
  "version": "1.0",
  "axioms": [
    { "id": "AX-001", "statement": "Probabilistic systems operate on likelihood, not certainty.", "type": "invariant" },
    { "id": "AX-002", "statement": "Uncertainty cannot produce invariant outcomes.", "type": "invariant" }
  ],
  "definitions": [
    { "id": "DEF-001", "term": "Probabilistic System", "definition": "A system generating outputs based on probability distributions." },
    { "id": "DEF-002", "term": "Determinism", "definition": "Identical input produces identical output." },
    { "id": "DEF-003", "term": "Invariant", "definition": "A condition that holds without deviation." }
  ],
  "claims": [
    { "id": "CL-001", "statement": "Probabilistic systems cannot achieve determinism.", "depends_on": ["AX-001"] },
    { "id": "CL-002", "statement": "Lack of determinism prevents invariant coherence.", "depends_on": ["AX-002"] },
    { "id": "CL-003", "statement": "Scaling probabilistic models does not remove uncertainty.", "depends_on": ["AX-001", "AX-002"] },
    { "id": "CL-004", "statement": "Post-hoc validation cannot guarantee system-level coherence.", "depends_on": ["AX-002"] }
  ],
  "constraints": [
    { "id": "CONS-001", "rule": "If output is probabilistic -> determinism not guaranteed", "type": "hard_limit" },
    { "id": "CONS-002", "rule": "If determinism absent -> invariant coherence impossible", "type": "hard_limit" },
    { "id": "CONS-003", "rule": "Validation after generation cannot enforce coherence", "type": "hard_limit" }
  ],
  "tests": [
    { "id": "TEST-001", "name": "Determinism Test", "input": "identical prompt", "procedure": "repeat execution", "expected": "identical output", "observed": "variable outputs", "result": "fail" }
  ],
  "metrics": [
    { "id": "MET-001", "name": "Determinism Score", "value": 0.0, "threshold": 1.0 }
  ],
  "failure_modes": [
    { "id": "FAIL-001", "description": "Non-deterministic output", "impact": "inability to ensure consistency" },
    { "id": "FAIL-002", "description": "Irreducible uncertainty", "impact": "loss of invariant behavior" },
    { "id": "FAIL-003", "description": "Post-generation validation gap", "impact": "coherence cannot be enforced retroactively" }
  ],
  "architecture": [
    { "layer": "probabilistic_core", "function": "generate outputs based on distribution" }
  ],
  "interfaces": [
    { "input_type": "prompt", "output_type": "probabilistic_output", "validation": "none_guaranteed" }
  ],
  "references": [
    { "type": "zenodo", "id": "10.5281/zenodo.17186989" },
    { "type": "zenodo", "id": "10.5281/zenodo.17065675" }
  ]
}