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.