Triple

T1531825
Position Surface form Disambiguated ID Type / Status
Subject Introduction to the Theory of Computation E32458 entity
Predicate hasSection P35 FINISHED
Object Complexity Theory
Complexity Theory is a branch of theoretical computer science that studies the resources, such as time and space, required to solve computational problems and classifies these problems based on their inherent difficulty.
E173644 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: Complexity Theory | Statement: [Introduction to the Theory of Computation, hasSection, Complexity Theory]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Complexity Theory
Context triple: [Introduction to the Theory of Computation, hasSection, Complexity Theory]
  • A. Computational Complexity: A Conceptual Perspective
    Computational Complexity: A Conceptual Perspective is a graduate-level textbook that presents the foundations and key themes of computational complexity theory with an emphasis on conceptual understanding over technical detail.
  • B. Blum complexity measures
    Blum complexity measures are a formal framework in computational complexity theory that rigorously define and compare the resource usage (such as time or space) of algorithms via axiomatic conditions.
  • C. P, NP, and NP-Completeness: The Basics of Complexity Theory
    "P, NP, and NP-Completeness: The Basics of Complexity Theory" is a foundational textbook by Oded Goldreich that introduces the core concepts, problems, and techniques of computational complexity theory, with a focus on the classes P, NP, and NP-complete problems.
  • D. Randomness and Computation
    "Randomness and Computation" is Shafi Goldwasser's influential doctoral thesis that helped lay the foundations of modern complexity theory and cryptography by rigorously exploring the role of randomness in efficient computation.
  • E. PCP theorem
    The PCP theorem is a fundamental result in computational complexity theory stating that every problem in NP has probabilistically checkable proofs that can be verified by examining only a constant number of bits, with major implications for the hardness of approximation.
  • 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: Complexity Theory
Triple: [Introduction to the Theory of Computation, hasSection, Complexity Theory]
Generated description
Complexity Theory is a branch of theoretical computer science that studies the resources, such as time and space, required to solve computational problems and classifies these problems based on their inherent difficulty.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Complexity Theory
Target entity description: Complexity Theory is a branch of theoretical computer science that studies the resources, such as time and space, required to solve computational problems and classifies these problems based on their inherent difficulty.
  • A. Computational Complexity: A Conceptual Perspective
    Computational Complexity: A Conceptual Perspective is a graduate-level textbook that presents the foundations and key themes of computational complexity theory with an emphasis on conceptual understanding over technical detail.
  • B. Blum complexity measures
    Blum complexity measures are a formal framework in computational complexity theory that rigorously define and compare the resource usage (such as time or space) of algorithms via axiomatic conditions.
  • C. P, NP, and NP-Completeness: The Basics of Complexity Theory
    "P, NP, and NP-Completeness: The Basics of Complexity Theory" is a foundational textbook by Oded Goldreich that introduces the core concepts, problems, and techniques of computational complexity theory, with a focus on the classes P, NP, and NP-complete problems.
  • D. Randomness and Computation
    "Randomness and Computation" is Shafi Goldwasser's influential doctoral thesis that helped lay the foundations of modern complexity theory and cryptography by rigorously exploring the role of randomness in efficient computation.
  • E. PCP theorem
    The PCP theorem is a fundamental result in computational complexity theory stating that every problem in NP has probabilistically checkable proofs that can be verified by examining only a constant number of bits, with major implications for the hardness of approximation.
  • 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_69a885ea86308190998f6bc14bb91f8e completed March 4, 2026, 7:20 p.m.
NER Named-entity recognition batch_69a90816b5e88190aa92a8558e35744b completed March 5, 2026, 4:35 a.m.
NED1 Entity disambiguation (via context triple) batch_69ad2957e6e4819087504a16bc32d60b completed March 8, 2026, 7:46 a.m.
NEDg Description generation batch_69ad2a18a79c81908f04ba9aa55d52a0 completed March 8, 2026, 7:49 a.m.
NED2 Entity disambiguation (via description) batch_69ad2a8deae8819095731fdd1b4bd310 completed March 8, 2026, 7:51 a.m.
Created at: March 4, 2026, 7:26 p.m.