Triple
T31080509
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | LLL algorithm |
E792082
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | lattice basis reduction algorithm |
C59657
|
CONCEPT FINISHED |
How this triple was built (1 step)
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.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: lattice basis reduction algorithm Context triple: [LLL algorithm, instanceOf, lattice basis reduction algorithm]
-
A.
Gröbner basis algorithm
A Gröbner basis algorithm is a computational procedure that transforms a set of multivariate polynomials into a special generating set (a Gröbner basis) that simplifies solving and analyzing polynomial ideal problems such as solving systems of equations, ideal membership, and elimination.
-
B.
algorithm in number theory
An algorithm in number theory is a finite, well-defined computational procedure designed to solve problems involving integers and their properties, such as divisibility, primality, and modular relationships.
-
C.
Koblitz curve
A Koblitz curve is a special type of elliptic curve defined over a binary finite field that allows particularly efficient arithmetic using the Frobenius endomorphism, commonly used in elliptic curve cryptography.
-
D.
Hilbert's tenth problem
Hilbert's tenth problem asks for a general algorithm to determine whether an arbitrary Diophantine equation (a polynomial equation with integer coefficients) has an integer solution, a task later proven to be undecidable.
-
E.
generator of PSL(2,ℤ)
A generator of PSL(2,ℤ) is an element (typically represented by a 2×2 integer matrix modulo ±I) that, together with another such element, produces the entire projective modular group under composition.
- F. None of above. chosen
Provenance (1 batch)
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_69f224ccdbbc81909b0cdb4cc2d70c7a |
completed | April 29, 2026, 3:33 p.m. |
Created at: April 29, 2026, 9:02 p.m.