Triple

T8751937
Position Surface form Disambiguated ID Type / Status
Subject Dana Scott E207979 entity
Predicate notableWork P4 FINISHED
Object Continuous Lattices
Continuous Lattices is a foundational work in domain theory and lattice theory that introduced a mathematical framework for modeling computation and denotational semantics.
E755396 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: Continuous Lattices | Statement: [Dana Scott, notableWork, Continuous Lattices]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Continuous Lattices
Context triple: [Dana Scott, notableWork, Continuous Lattices]
  • A. Lattice Theory
    Lattice Theory is a foundational mathematical text that systematically develops the theory of lattices and ordered structures, profoundly influencing modern algebra and order theory.
  • B. Tarski’s fixed point theorem
    Tarski’s fixed point theorem is a fundamental result in order theory and lattice theory that guarantees the existence of fixed points for monotone functions on complete lattices, with wide applications in logic, computer science, and economics.
  • C. Birkhoff’s representation theorem for finite distributive lattices
    Birkhoff’s representation theorem for finite distributive lattices is a fundamental result in lattice theory that characterizes every finite distributive lattice as isomorphic to the lattice of lower (order) ideals of a finite poset.
  • D. Recursive Functions and Intuitionistic Mathematics
    Recursive Functions and Intuitionistic Mathematics is a seminal work by Stephen Kleene that develops the theory of recursive (computable) functions within the framework of intuitionistic logic and mathematics.
  • E. 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.
  • 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: Continuous Lattices
Triple: [Dana Scott, notableWork, Continuous Lattices]
Generated description
Continuous Lattices is a foundational work in domain theory and lattice theory that introduced a mathematical framework for modeling computation and denotational semantics.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Continuous Lattices
Target entity description: Continuous Lattices is a foundational work in domain theory and lattice theory that introduced a mathematical framework for modeling computation and denotational semantics.
  • A. Lattice Theory
    Lattice Theory is a foundational mathematical text that systematically develops the theory of lattices and ordered structures, profoundly influencing modern algebra and order theory.
  • B. Tarski’s fixed point theorem
    Tarski’s fixed point theorem is a fundamental result in order theory and lattice theory that guarantees the existence of fixed points for monotone functions on complete lattices, with wide applications in logic, computer science, and economics.
  • C. Birkhoff’s representation theorem for finite distributive lattices
    Birkhoff’s representation theorem for finite distributive lattices is a fundamental result in lattice theory that characterizes every finite distributive lattice as isomorphic to the lattice of lower (order) ideals of a finite poset.
  • D. Recursive Functions and Intuitionistic Mathematics
    Recursive Functions and Intuitionistic Mathematics is a seminal work by Stephen Kleene that develops the theory of recursive (computable) functions within the framework of intuitionistic logic and mathematics.
  • E. 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.
  • 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_69ca835cd6b08190bd7c63db92f53c86 completed March 30, 2026, 2:06 p.m.
NER Named-entity recognition batch_69cc5da8cc548190a31ad542d2faf2d5 completed March 31, 2026, 11:50 p.m.
NED1 Entity disambiguation (via context triple) batch_69cf4326d8cc8190900f5f91da6ef6c8 completed April 3, 2026, 4:33 a.m.
NEDg Description generation batch_69cf4462da648190a621397fa88dd4bd completed April 3, 2026, 4:38 a.m.
NED2 Entity disambiguation (via description) batch_69cf454c4d248190a925b15c23af1a24 completed April 3, 2026, 4:42 a.m.
Created at: March 30, 2026, 6:39 p.m.