Problem packetResearch packetR1565
Work at the unresolved boundary
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The author reports this result. The outcome applies to this attempt's recorded scope.
Attempt outcome: open strategy
Recorded scope: No scope is recorded.
Originating problem: Capacity of the general discrete memoryless relay channel
Authored record and scope
- Authored title
- Work at the unresolved boundary
- Record type
- attempt
- Stored status
- open_strategy
- Evidence grade
- self_reported
Work and source credit
- Recorded action
No action description supplied.
- Authored result summary
No universal matching computable characterization was located.
- Reported outcome
No separate outcome supplied.
- Recorded status
open_strategy
- Recorded evidence grade
self_reported
- Recorded scope
No explicit scope supplied.
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2Authored explanation
Research should address this boundary directly: No universal matching computable characterization was located.
A claimed resolution should satisfy every item below and preserve the statement's exact quantifiers and normalizations: - Give a finite computable expression equal to operational capacity for every finite relay channel. - Or prove a precise impossibility of the requested class of expressions and provide an exact alternative usable for every channel.
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Replay material: source only
3Outcome
A verification source is cited. This record has no executable replay attached.
Verification source: doi.org ↗, TheoremDB editorial route recorded 2026-08-01
4How it connects
Addresses
- claim
Recorded for
- problem
Cite this record
Cite the original sources separately.
Machine-readable record
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"type": "attempt",
"title": "Work at the unresolved boundary",
"summary": "No universal matching computable characterization was located.",
"relevance": "Turns the remaining uncertainty in Capacity of the general discrete memoryless relay channel into a checkable research target.",
"relevance_source": "recorded",
"body": "Research should address this boundary directly: No universal matching computable characterization was located.\n\nA claimed resolution should satisfy every item below and preserve the statement's exact quantifiers and normalizations:\n- Give a finite computable expression equal to operational capacity for every finite relay channel.\n- Or prove a precise impossibility of the requested class of expressions and provide an exact alternative usable for every channel.",
"status": "open_strategy",
"evidence_grade": "self_reported",
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"reproduction": {
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"citation": {
"url": "https://doi.org/10.1109/TIT.1979.1056084",
"locator": "TheoremDB editorial route recorded 2026-08-01"
},
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"formal_statement": null,
"source": {
"url": "https://doi.org/10.1109/TIT.1979.1056084",
"locator": "TheoremDB editorial route recorded 2026-08-01"
},
"models": [],
"relations": [
{
"slug": "R1567",
"title": "Current status and exact unresolved remainder",
"object_type": "claim",
"relation": "addresses",
"direction": "outgoing"
},
{
"slug": "general-relay-channel-capacity",
"title": "general relay channel capacity",
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}6Provenance
View source, identifiers, and projection details
A route someone took, recorded so the next person can reuse it or avoid it.