Triple

T10055761
Position Surface form Disambiguated ID Type / Status
Subject Gröbner basis E208856 entity
Predicate relatedAlgorithm P25130 FINISHED
Object F5 algorithm
The F5 algorithm is an efficient method in computational algebra for computing Gröbner bases by using signature-based criteria to avoid redundant polynomial reductions.
 E838597 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: F5 algorithm | Statement: [Gröbner basis, relatedAlgorithm, F5 algorithm]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: F5 algorithm
Context triple: [Gröbner basis, relatedAlgorithm, F5 algorithm]
  • A. Benettin algorithm
    The Benettin algorithm is a numerical method used in dynamical systems theory to estimate Lyapunov exponents, which quantify the rate of separation of nearby trajectories and indicate chaos.
  • B. Cristian's algorithm
    Cristian's algorithm is a clock synchronization method in distributed systems that estimates accurate time on client machines by querying a time server and adjusting for message delays.
  • C. Thompson's algorithm
    Thompson's algorithm is a classic computer science method for converting regular expressions into nondeterministic finite automata (NFAs), widely used in pattern matching and lexical analysis.
  • D. Marzullo's algorithm
    Marzullo's algorithm is a method for selecting the most likely correct time interval from multiple, possibly conflicting time sources, commonly used in clock synchronization systems.
  • E. LLL algorithm
    The LLL algorithm is a polynomial-time lattice basis reduction algorithm widely used in computational number theory and cryptography to find relatively short, nearly orthogonal lattice vectors.
  • 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: F5 algorithm
Triple: [Gröbner basis, relatedAlgorithm, F5 algorithm]
Generated description
The F5 algorithm is an efficient method in computational algebra for computing Gröbner bases by using signature-based criteria to avoid redundant polynomial reductions.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: F5 algorithm
Target entity description: The F5 algorithm is an efficient method in computational algebra for computing Gröbner bases by using signature-based criteria to avoid redundant polynomial reductions.
  • A. Benettin algorithm
    The Benettin algorithm is a numerical method used in dynamical systems theory to estimate Lyapunov exponents, which quantify the rate of separation of nearby trajectories and indicate chaos.
  • B. Cristian's algorithm
    Cristian's algorithm is a clock synchronization method in distributed systems that estimates accurate time on client machines by querying a time server and adjusting for message delays.
  • C. Thompson's algorithm
    Thompson's algorithm is a classic computer science method for converting regular expressions into nondeterministic finite automata (NFAs), widely used in pattern matching and lexical analysis.
  • D. Marzullo's algorithm
    Marzullo's algorithm is a method for selecting the most likely correct time interval from multiple, possibly conflicting time sources, commonly used in clock synchronization systems.
  • E. LLL algorithm
    The LLL algorithm is a polynomial-time lattice basis reduction algorithm widely used in computational number theory and cryptography to find relatively short, nearly orthogonal lattice vectors.
  • 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_69ca836094408190a36a1ea7e9a86fcd completed March 30, 2026, 2:06 p.m.
NER Named-entity recognition batch_69cdcfacacd08190abe66f8bb17b92c7 completed April 2, 2026, 2:08 a.m.
NED1 Entity disambiguation (via context triple) batch_69d29a49cb208190b56d991a523efbac completed April 5, 2026, 5:22 p.m.
NEDg Description generation batch_69d29b7430248190b8965eaf1286dd7c completed April 5, 2026, 5:27 p.m.
NED2 Entity disambiguation (via description) batch_69d29c7ba9f081908f4614098d6c954b completed April 5, 2026, 5:31 p.m.
Created at: March 30, 2026, 8:57 p.m.