Triple

T14295333
Position Surface form Disambiguated ID Type / Status
Subject Steven Givant E354423 entity
Predicate coauthorOf P2389 FINISHED
Object Relation Algebras
Relation Algebras is a mathematical monograph that develops the theory of relation algebras as an abstract algebraic framework for studying relations and their logical properties.
E1091322 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: Relation Algebras | Statement: [Steven Givant, coauthorOf, Relation Algebras]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Relation Algebras
Context triple: [Steven Givant, coauthorOf, Relation Algebras]
  • A. Universal Algebra
    Universal Algebra is a foundational mathematical text that systematically studies algebraic structures in a unified, abstract framework.
  • B. Kleene algebra
    Kleene algebra is an algebraic structure used to model and reason about regular expressions, program control flow, and formal languages through operations like choice, sequencing, and iteration.
  • C. Handbook of Boolean Algebras
    The *Handbook of Boolean Algebras* is a comprehensive multi-volume reference work that surveys the theory, structure, and applications of Boolean algebras in modern mathematics and logic.
  • D. Hilbert-style deductive systems
    Hilbert-style deductive systems are axiomatic proof systems in mathematical logic that use a small set of axiom schemas and a few inference rules (typically including modus ponens) to derive theorems in formal theories such as Zermelo–Fraenkel set theory.
  • E. The Logic of Relatives
    The Logic of Relatives is a seminal work by Charles Sanders Peirce that develops a formal theory of relations, significantly advancing the foundations of modern logic and mathematics.
  • 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: Relation Algebras
Triple: [Steven Givant, coauthorOf, Relation Algebras]
Generated description
Relation Algebras is a mathematical monograph that develops the theory of relation algebras as an abstract algebraic framework for studying relations and their logical properties.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Relation Algebras
Target entity description: Relation Algebras is a mathematical monograph that develops the theory of relation algebras as an abstract algebraic framework for studying relations and their logical properties.
  • A. Universal Algebra
    Universal Algebra is a foundational mathematical text that systematically studies algebraic structures in a unified, abstract framework.
  • B. Kleene algebra
    Kleene algebra is an algebraic structure used to model and reason about regular expressions, program control flow, and formal languages through operations like choice, sequencing, and iteration.
  • C. Handbook of Boolean Algebras
    The *Handbook of Boolean Algebras* is a comprehensive multi-volume reference work that surveys the theory, structure, and applications of Boolean algebras in modern mathematics and logic.
  • D. Hilbert-style deductive systems
    Hilbert-style deductive systems are axiomatic proof systems in mathematical logic that use a small set of axiom schemas and a few inference rules (typically including modus ponens) to derive theorems in formal theories such as Zermelo–Fraenkel set theory.
  • E. The Logic of Relatives
    The Logic of Relatives is a seminal work by Charles Sanders Peirce that develops a formal theory of relations, significantly advancing the foundations of modern logic and mathematics.
  • 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_69d8278e17088190b328c5a9d4be74ff completed April 9, 2026, 10:26 p.m.
NER Named-entity recognition batch_69de717b35ec81908968994e65737c66 completed April 14, 2026, 4:55 p.m.
NED1 Entity disambiguation (via context triple) batch_69fd3d2281d481909714f8d8cfe71514 completed May 8, 2026, 1:32 a.m.
NEDg Description generation batch_69fd3ded77748190b35908e046ccce67 completed May 8, 2026, 1:35 a.m.
NED2 Entity disambiguation (via description) batch_69fd3e7425348190abf09c103cc17305 completed May 8, 2026, 1:37 a.m.
Created at: April 10, 2026, 1:11 a.m.