Triple

T7906518
Position Surface form Disambiguated ID Type / Status
Subject Kolmogorov complexity E183589 entity
Predicate relatedTo P37 FINISHED
Object Martin-Löf randomness
Martin-Löf randomness is a rigorous mathematical notion of randomness for infinite binary sequences, defined via effectively null sets and closely connected to algorithmic information theory.
E700156 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: Martin-Löf randomness | Statement: [Kolmogorov complexity, relatedTo, Martin-Löf randomness]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Martin-Löf randomness
Context triple: [Kolmogorov complexity, relatedTo, Martin-Löf randomness]
  • A. Kolmogorov complexity
    Kolmogorov complexity is a measure of the amount of information in an object, defined as the length of the shortest computer program that can produce it.
  • B. 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.
  • C. Turing degrees
    Turing degrees are an abstract classification of sets of natural numbers or decision problems according to their relative level of algorithmic unsolvability or computational complexity under Turing reducibility.
  • D. 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.
  • E. Blum axioms
    Blum axioms are a set of formal conditions introduced by Manuel Blum that rigorously define what constitutes a valid complexity measure in computational 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: Martin-Löf randomness
Triple: [Kolmogorov complexity, relatedTo, Martin-Löf randomness]
Generated description
Martin-Löf randomness is a rigorous mathematical notion of randomness for infinite binary sequences, defined via effectively null sets and closely connected to algorithmic information theory.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Martin-Löf randomness
Target entity description: Martin-Löf randomness is a rigorous mathematical notion of randomness for infinite binary sequences, defined via effectively null sets and closely connected to algorithmic information theory.
  • A. Kolmogorov complexity
    Kolmogorov complexity is a measure of the amount of information in an object, defined as the length of the shortest computer program that can produce it.
  • B. 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.
  • C. Turing degrees
    Turing degrees are an abstract classification of sets of natural numbers or decision problems according to their relative level of algorithmic unsolvability or computational complexity under Turing reducibility.
  • D. 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.
  • E. Blum axioms
    Blum axioms are a set of formal conditions introduced by Manuel Blum that rigorously define what constitutes a valid complexity measure in computational 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_69ca828dec0c81908b8f55a4dbbb53ff completed March 30, 2026, 2:02 p.m.
NER Named-entity recognition batch_69cb3a5871b8819087ad69c116c40091 completed March 31, 2026, 3:07 a.m.
NED1 Entity disambiguation (via context triple) batch_69cb5bc9dfa88190aa5261bdf44823ab completed March 31, 2026, 5:29 a.m.
NEDg Description generation batch_69cb7633c5a0819089deb6e89d9acb8e completed March 31, 2026, 7:22 a.m.
NED2 Entity disambiguation (via description) batch_69cbb84dc86c8190893d67ce07c51aa0 completed March 31, 2026, 12:04 p.m.
Created at: March 30, 2026, 5:03 p.m.