Triple

T21235951
Position Surface form Disambiguated ID Type / Status
Subject Noam Nisan E523342 entity
Predicate coAuthorOf P2389 FINISHED
Object The Computational Complexity of Boolean Functions
"The Computational Complexity of Boolean Functions" is a foundational monograph in theoretical computer science that systematically studies the resources required to compute Boolean functions, particularly within circuit complexity.
E1473761 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: The Computational Complexity of Boolean Functions | Statement: [Noam Nisan, coAuthorOf, The Computational Complexity of Boolean Functions]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: The Computational Complexity of Boolean Functions
Context triple: [Noam Nisan, coAuthorOf, The Computational Complexity of Boolean Functions]
  • A. 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.
  • B. Furst–Saxe–Sipser lower bounds
    Furst–Saxe–Sipser lower bounds are foundational results in circuit complexity theory that established superpolynomial lower bounds for constant-depth Boolean circuits (AC⁰), demonstrating inherent limitations of such circuits for computing certain functions.
  • C. Håstad’s switching lemma
    Håstad’s switching lemma is a fundamental result in computational complexity theory that provides powerful bounds on the simplification of Boolean formulas under random restrictions, with major applications in circuit lower bounds.
  • D. 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.
  • E. “Almost optimal lower bounds for small depth circuits”
    “Almost optimal lower bounds for small depth circuits” is a seminal theoretical computer science paper by Johan Håstad that establishes near-tight lower bounds on the size of constant-depth Boolean circuits, profoundly influencing circuit complexity theory.
  • 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: The Computational Complexity of Boolean Functions
Triple: [Noam Nisan, coAuthorOf, The Computational Complexity of Boolean Functions]
Generated description
"The Computational Complexity of Boolean Functions" is a foundational monograph in theoretical computer science that systematically studies the resources required to compute Boolean functions, particularly within circuit complexity.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: The Computational Complexity of Boolean Functions
Target entity description: "The Computational Complexity of Boolean Functions" is a foundational monograph in theoretical computer science that systematically studies the resources required to compute Boolean functions, particularly within circuit complexity.
  • A. 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.
  • B. Furst–Saxe–Sipser lower bounds
    Furst–Saxe–Sipser lower bounds are foundational results in circuit complexity theory that established superpolynomial lower bounds for constant-depth Boolean circuits (AC⁰), demonstrating inherent limitations of such circuits for computing certain functions.
  • C. Håstad’s switching lemma
    Håstad’s switching lemma is a fundamental result in computational complexity theory that provides powerful bounds on the simplification of Boolean formulas under random restrictions, with major applications in circuit lower bounds.
  • D. 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.
  • E. “Almost optimal lower bounds for small depth circuits”
    “Almost optimal lower bounds for small depth circuits” is a seminal theoretical computer science paper by Johan Håstad that establishes near-tight lower bounds on the size of constant-depth Boolean circuits, profoundly influencing circuit complexity theory.
  • 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_69e0b513b89c81908b27147e91368db2 completed April 16, 2026, 10:08 a.m.
NER Named-entity recognition batch_69e735202c7481909c642ddaafb40671 completed April 21, 2026, 8:28 a.m.
NED1 Entity disambiguation (via context triple) batch_6a0986f0015c8190aa854cc91a87f7e6 completed May 17, 2026, 9:14 a.m.
NEDg Description generation batch_6a0987a9ceac819083ecb7988661235a completed May 17, 2026, 9:17 a.m.
NED2 Entity disambiguation (via description) batch_6a09881c2d4c8190ab2cdf5dc99a43b0 completed May 17, 2026, 9:19 a.m.
Created at: April 16, 2026, 3:46 p.m.