Triple

T3380955
Position Surface form Disambiguated ID Type / Status
Subject Alfred Tarski E71180 entity
Predicate notableWork P4 FINISHED
Object “A Decision Method for Elementary Algebra and Geometry”
“A Decision Method for Elementary Algebra and Geometry” is Alfred Tarski’s influential work that presents a procedure for deciding the truth of statements in elementary algebra and geometry, laying foundations for decision theory in mathematical logic.
E353634 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: “A Decision Method for Elementary Algebra and Geometry” | Statement: [Alfred Tarski, notableWork, “A Decision Method for Elementary Algebra and Geometry”]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: “A Decision Method for Elementary Algebra and Geometry”
Context triple: [Alfred Tarski, notableWork, “A Decision Method for Elementary Algebra and Geometry”]
  • A. "The Complexity of Theorem-Proving Procedures"
    "The Complexity of Theorem-Proving Procedures" is Stephen Cook’s landmark 1971 paper that introduced the concept of NP-completeness and proved the Boolean satisfiability problem (SAT) to be NP-complete, laying the foundation for modern computational complexity theory.
  • B. Handbook of Automated Reasoning
    The "Handbook of Automated Reasoning" is a comprehensive reference work that surveys the theories, methods, and tools used in the field of automated theorem proving and formal reasoning in computer science and logic.
  • C. Hilbert’s Nullstellensatz
    Hilbert’s Nullstellensatz is a foundational theorem in algebraic geometry that establishes a deep correspondence between ideals in polynomial rings and algebraic sets, linking algebra and geometry.
  • D. Recherches sur la théorie de la démonstration
    Recherches sur la théorie de la démonstration is Jacques Herbrand’s foundational work in mathematical logic, introducing key results in proof theory and what is now known as Herbrand’s theorem.
  • E. Treatise on Demonstration of Problems of Algebra
    Treatise on Demonstration of Problems of Algebra is a seminal mathematical work by Omar Khayyam in which he systematically analyzes and geometrically solves cubic equations.
  • 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: “A Decision Method for Elementary Algebra and Geometry”
Triple: [Alfred Tarski, notableWork, “A Decision Method for Elementary Algebra and Geometry”]
Generated description
“A Decision Method for Elementary Algebra and Geometry” is Alfred Tarski’s influential work that presents a procedure for deciding the truth of statements in elementary algebra and geometry, laying foundations for decision theory in mathematical logic.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: “A Decision Method for Elementary Algebra and Geometry”
Target entity description: “A Decision Method for Elementary Algebra and Geometry” is Alfred Tarski’s influential work that presents a procedure for deciding the truth of statements in elementary algebra and geometry, laying foundations for decision theory in mathematical logic.
  • A. "The Complexity of Theorem-Proving Procedures"
    "The Complexity of Theorem-Proving Procedures" is Stephen Cook’s landmark 1971 paper that introduced the concept of NP-completeness and proved the Boolean satisfiability problem (SAT) to be NP-complete, laying the foundation for modern computational complexity theory.
  • B. Handbook of Automated Reasoning
    The "Handbook of Automated Reasoning" is a comprehensive reference work that surveys the theories, methods, and tools used in the field of automated theorem proving and formal reasoning in computer science and logic.
  • C. Hilbert’s Nullstellensatz
    Hilbert’s Nullstellensatz is a foundational theorem in algebraic geometry that establishes a deep correspondence between ideals in polynomial rings and algebraic sets, linking algebra and geometry.
  • D. Recherches sur la théorie de la démonstration
    Recherches sur la théorie de la démonstration is Jacques Herbrand’s foundational work in mathematical logic, introducing key results in proof theory and what is now known as Herbrand’s theorem.
  • E. Treatise on Demonstration of Problems of Algebra
    Treatise on Demonstration of Problems of Algebra is a seminal mathematical work by Omar Khayyam in which he systematically analyzes and geometrically solves cubic equations.
  • 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_69ad85a7f80c8190a05e43013f298942 completed March 8, 2026, 2:20 p.m.
NER Named-entity recognition batch_69adb5e7c7f48190afb78c311b424c93 completed March 8, 2026, 5:46 p.m.
NED1 Entity disambiguation (via context triple) batch_69b3344f9b448190aab1038ead60fa48 completed March 12, 2026, 9:46 p.m.
NEDg Description generation batch_69b338147cc0819095f00b28910e178a completed March 12, 2026, 10:03 p.m.
NED2 Entity disambiguation (via description) batch_69b338967c6c819090fe5f77bfa1978f completed March 12, 2026, 10:05 p.m.
Created at: March 8, 2026, 3:14 p.m.