Triple
T7666076
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | NP-completeness |
E173625
|
entity |
| Predicate | hasCanonicalProblem |
P78665
|
FINISHED |
| Object |
Subset sum problem
The subset sum problem is a classic NP-complete decision problem in computer science that asks whether any subset of given integers sums to a specified target value.
|
E679894
|
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: Subset sum problem | Statement: [NP-completeness, hasCanonicalProblem, Subset sum problem]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Subset sum problem Context triple: [NP-completeness, hasCanonicalProblem, Subset sum problem]
-
A.
A Combinatorial Problem
"A Combinatorial Problem" is a classic mathematical paper by N. G. de Bruijn that introduces and analyzes a fundamental counting problem in combinatorics.
-
B.
Waring's problem
Waring's problem is a famous conjecture in number theory that concerns representing natural numbers as sums of fixed powers of integers and determining how many such powers are needed.
-
C.
Sylvester’s theorem on partitions
Sylvester’s theorem on partitions is a result in number theory that provides a systematic way to count integer partitions subject to certain congruence or restriction conditions, forming part of the foundational work in partition theory.
-
D.
P versus NP problem
The P versus NP problem is a central unsolved question in theoretical computer science that asks whether every problem whose solution can be quickly verified by a computer can also be quickly solved by a computer.
-
E.
Steiner tree problem
The Steiner tree problem is a classic optimization problem in combinatorial mathematics and computer science that seeks the shortest network of line segments connecting a given set of points, potentially adding extra intermediate points to minimize total length.
- 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: Subset sum problem Triple: [NP-completeness, hasCanonicalProblem, Subset sum problem]
Generated description
The subset sum problem is a classic NP-complete decision problem in computer science that asks whether any subset of given integers sums to a specified target value.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Subset sum problem Target entity description: The subset sum problem is a classic NP-complete decision problem in computer science that asks whether any subset of given integers sums to a specified target value.
-
A.
A Combinatorial Problem
"A Combinatorial Problem" is a classic mathematical paper by N. G. de Bruijn that introduces and analyzes a fundamental counting problem in combinatorics.
-
B.
Waring's problem
Waring's problem is a famous conjecture in number theory that concerns representing natural numbers as sums of fixed powers of integers and determining how many such powers are needed.
-
C.
Sylvester’s theorem on partitions
Sylvester’s theorem on partitions is a result in number theory that provides a systematic way to count integer partitions subject to certain congruence or restriction conditions, forming part of the foundational work in partition theory.
-
D.
P versus NP problem
The P versus NP problem is a central unsolved question in theoretical computer science that asks whether every problem whose solution can be quickly verified by a computer can also be quickly solved by a computer.
-
E.
Steiner tree problem
The Steiner tree problem is a classic optimization problem in combinatorial mathematics and computer science that seeks the shortest network of line segments connecting a given set of points, potentially adding extra intermediate points to minimize total length.
- 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_69c699562484819086752091e3164a27 |
completed | March 27, 2026, 2:51 p.m. |
| NER | Named-entity recognition | batch_69c708affd048190bf21bcc1796a3c39 |
completed | March 27, 2026, 10:46 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69c89b1fdccc8190a69b4745dc3b2347 |
completed | March 29, 2026, 3:23 a.m. |
| NEDg | Description generation | batch_69c89d513af88190b453bf3bf1adcbfb |
completed | March 29, 2026, 3:32 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69c89ddd81a88190924d41529e94b06b |
completed | March 29, 2026, 3:34 a.m. |
Created at: March 27, 2026, 4 p.m.