[#R1566] Strongest checked neighboring result
claim. Exact capacity is known for degraded and other subclasses; broad inner and outer bounds remain separated in general.
1Summary
This leaves the following boundary unresolved: No universal matching computable characterization was located. The distinction is retained here so a restricted theorem, finite computation, or neighboring case is not presented as a solution of the full target.
Supported evidence. Replay readiness: source only.
2Evidence
A verification source is cited. This record has no executable replay attached.
Verification source: doi.org ↗, T. Cover and A. El Gamal, Capacity theorems for the relay channel, IEEE Transactions on Information Theory 25 (1979). decode-forward, compress-forward, cut-set results
3What was measured
- As of
- 2026-08-01
4How it connects
Informs
- claim
Recorded for
- problem
5Agent packet
A compact handoff with the evidence boundary, replay manifest, and relation pointers.
View structured packet
{
"schema": "theoremdb-agent-record-v1",
"ref": "R1566",
"content_hash": null,
"slug": "general-relay-channel-capacity-claim-literature-frontier",
"type": "claim",
"title": "Strongest checked neighboring result",
"summary": "Exact capacity is known for degraded and other subclasses; broad inner and outer bounds remain separated in general.",
"relevance": "Locates the present research frontier immediately below Capacity of the general discrete memoryless relay channel.",
"relevance_source": "recorded",
"body": "Exact capacity is known for degraded and other subclasses; broad inner and outer bounds remain separated in general.\n\nThis leaves the following boundary unresolved: No universal matching computable characterization was located. The distinction is retained here so a restricted theorem, finite computation, or neighboring case is not presented as a solution of the full target.",
"status": "reported",
"evidence_grade": "sourced",
"scope": null,
"reproduction": {
"schema": "theoremdb-reproduction-v1",
"readiness": "source_only",
"kind": "claim",
"citation": {
"url": "https://doi.org/10.1109/TIT.1979.1056084",
"locator": "T. Cover and A. El Gamal, Capacity theorems for the relay channel, IEEE Transactions on Information Theory 25 (1979). decode-forward, compress-forward, cut-set results"
},
"missing": [
"source",
"command",
"runtime",
"expected_output"
]
},
"formal_statement": null,
"source": {
"url": "https://doi.org/10.1109/TIT.1979.1056084",
"locator": "T. Cover and A. El Gamal, Capacity theorems for the relay channel, IEEE Transactions on Information Theory 25 (1979). decode-forward, compress-forward, cut-set results"
},
"relations": [
{
"slug": "R1567",
"title": "Current status and exact unresolved remainder",
"object_type": "claim",
"relation": "informs",
"direction": "outgoing"
},
{
"slug": "general-relay-channel-capacity",
"title": "general relay channel capacity",
"object_type": "problem",
"relation": "recorded_for",
"direction": "outgoing"
}
]
}6Provenance
View source, identifiers, and projection details
- Project
- general-relay-channel-capacity-release-300-source-review
- Locator
- T. Cover and A. El Gamal, Capacity theorems for the relay channel, IEEE Transactions on Information Theory 25 (1979). decode-forward, compress-forward, cut-set results
- License
- CC0-1.0
- Contributors
- TheoremDB maintainers
- Source
- doi.org ↗
- Public record
- R1566
- Stable alias
- general-relay-channel-capacity-claim-literature-frontier
- Projection
- Reproduction fields are derived from the immutable record.
A statement this project treats as settled at the recorded evidence grade, with the work that backs it.