Triple

T5213972
Position Surface form Disambiguated ID Type / Status
Subject Blum complexity measures E117702 entity
Predicate relatedTo P37 FINISHED
Object speedup theorem
The speedup theorem is a result in computational complexity theory showing that for certain problems, no single algorithm is asymptotically optimal because there always exists another algorithm that solves the problem significantly faster according to a given complexity measure.
 E503602 NE FINISHED

How this triple was built (4 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: speedup theorem | Statement: [Blum complexity measures, relatedTo, speedup theorem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: speedup theorem
Context triple: [Blum complexity measures, relatedTo, speedup theorem]
  • A. Accelerate
    Accelerate is a song by the Christian rock band Liberation, known for its energetic style and uplifting, faith-centered lyrics.
  • B. Speed
    Speed is a 1994 action thriller film starring Keanu Reeves and Sandra Bullock, centered on a city bus that will explode if its speed drops below 50 miles per hour.
  • C. SPEED
    SPEED was an American cable and satellite television network focused on motorsports and automotive programming.
  • D. Fastiv
    Fastiv is a historic city in northern Ukraine known as a regional railway hub and industrial center southwest of Kyiv.
  • E. Speedvision
    Speedvision was a U.S. cable television network focused on motorsports and automotive programming, which later rebranded as Speed Channel.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: speedup theorem
Triple: [Blum complexity measures, relatedTo, speedup theorem]
Generated description
The speedup theorem is a result in computational complexity theory showing that for certain problems, no single algorithm is asymptotically optimal because there always exists another algorithm that solves the problem significantly faster according to a given complexity measure.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: speedup theorem
Target entity description: The speedup theorem is a result in computational complexity theory showing that for certain problems, no single algorithm is asymptotically optimal because there always exists another algorithm that solves the problem significantly faster according to a given complexity measure.
  • A. Accelerate
    Accelerate is a song by the Christian rock band Liberation, known for its energetic style and uplifting, faith-centered lyrics.
  • B. Speed
    Speed is a 1994 action thriller film starring Keanu Reeves and Sandra Bullock, centered on a city bus that will explode if its speed drops below 50 miles per hour.
  • C. SPEED
    SPEED was an American cable and satellite television network focused on motorsports and automotive programming.
  • D. Fastiv
    Fastiv is a historic city in northern Ukraine known as a regional railway hub and industrial center southwest of Kyiv.
  • E. Speedvision
    Speedvision was a U.S. cable television network focused on motorsports and automotive programming, which later rebranded as Speed Channel.
  • F. None of above. chosen

Provenance (5 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69bd4464ba3c8190bc16b2ebbe42ddb0 completed March 20, 2026, 12:58 p.m.
NER Named-entity recognition batch_69bd7a911d40819086621537274dc0f0 completed March 20, 2026, 4:49 p.m.
NED1 Entity disambiguation (via context triple) batch_69beefe325988190b35e3502f147c9c2 completed March 21, 2026, 7:22 p.m.
NEDg Description generation batch_69bef0b1fe9c8190bfc1be621c7c1c76 completed March 21, 2026, 7:25 p.m.
NED2 Entity disambiguation (via description) batch_69bef16739148190b9700228be7d07f9 completed March 21, 2026, 7:28 p.m.
Created at: March 20, 2026, 1:47 p.m.