Triple

T7666907
Position Surface form Disambiguated ID Type / Status
Subject Complexity Theory E173644 entity
Predicate defines P264 FINISHED
Object complexity class NL
Complexity class NL is the set of decision problems solvable by a nondeterministic Turing machine using logarithmic space, central to studying space-bounded computation and problems like graph reachability.
E679191 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 class NL | Statement: [Complexity Theory, defines, complexity class NL]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: complexity class NL
Context triple: [Complexity Theory, defines, complexity class NL]
  • A. Undirected connectivity in log-space
    "Undirected connectivity in log-space" is a landmark theoretical computer science paper by Omer Reingold that proved the complexity classes L and SL are equal by giving a deterministic log-space algorithm for undirected graph connectivity.
  • B. NP-completeness
    NP-completeness is a central concept in computational complexity theory that classifies decision problems believed to be among the hardest in NP, such that a polynomial-time solution to any one of them would yield polynomial-time solutions to all problems in NP.
  • C. Cook–Levin theorem
    The Cook–Levin theorem is a foundational result in computational complexity theory that established the Boolean satisfiability problem (SAT) as the first NP-complete problem, launching the theory of NP-completeness.
  • 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. 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.
  • 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 class NL
Triple: [Complexity Theory, defines, complexity class NL]
Generated description
Complexity class NL is the set of decision problems solvable by a nondeterministic Turing machine using logarithmic space, central to studying space-bounded computation and problems like graph reachability.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: complexity class NL
Target entity description: Complexity class NL is the set of decision problems solvable by a nondeterministic Turing machine using logarithmic space, central to studying space-bounded computation and problems like graph reachability.
  • A. Undirected connectivity in log-space
    "Undirected connectivity in log-space" is a landmark theoretical computer science paper by Omer Reingold that proved the complexity classes L and SL are equal by giving a deterministic log-space algorithm for undirected graph connectivity.
  • B. NP-completeness
    NP-completeness is a central concept in computational complexity theory that classifies decision problems believed to be among the hardest in NP, such that a polynomial-time solution to any one of them would yield polynomial-time solutions to all problems in NP.
  • C. Cook–Levin theorem
    The Cook–Levin theorem is a foundational result in computational complexity theory that established the Boolean satisfiability problem (SAT) as the first NP-complete problem, launching the theory of NP-completeness.
  • 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. 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.
  • 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_69c701c1383c8190ab5bf803bd6211a9 completed March 27, 2026, 10:16 p.m.
NED1 Entity disambiguation (via context triple) batch_69c89b260000819088d744ea8dc53cd2 completed March 29, 2026, 3:23 a.m.
NEDg Description generation batch_69c89c037d188190ace1c5e80a43aba0 completed March 29, 2026, 3:26 a.m.
NED2 Entity disambiguation (via description) batch_69c89c698f2c8190b5d2717835bd1d82 completed March 29, 2026, 3:28 a.m.
Created at: March 27, 2026, 4 p.m.