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"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" }
]
}
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