Triple

T24225336
Position Surface form Disambiguated ID Type / Status
Subject Kleene’s recursion theorem E601577 entity
Predicate instanceOf P0 FINISHED
Object theorem in recursion theory C716 CONCEPT FINISHED

How this triple was built (1 step)

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.

CD Concept disambiguation gpt-5-mini-2025-08-07 
Target class: theorem in recursion theory
Context triple: [Kleene’s recursion theorem, instanceOf, theorem in recursion theory]
  • A. result in proof theory
    In proof theory, a result is a formally derived conclusion or theorem obtained from a given set of axioms and inference rules within a logical system.
  • B. construction in proof theory
    A construction in proof theory is a systematically defined method or procedure used within formal proofs to build objects, derive new statements, or transform existing proofs while preserving logical validity.
  • C. numbering of partial recursive functions
    The numbering of partial recursive functions is a systematic assignment of natural numbers (indices) to all partial recursive functions such that each index effectively encodes a Turing-computable procedure defining that function.
  • D. result in model theory
    In model theory, a result is a formally proven statement—such as a theorem, lemma, or corollary—about structures, theories, or definable sets that follows from the axioms and logical rules of the framework.
  • E. mathematical theorem chosen
    A mathematical theorem is a rigorously proven statement derived from axioms and previously established results, expressing a fundamental truth within a formal mathematical system.
  • F. None of above.

Provenance (1 batch)

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_69e29537ca548190b94a37ebe1977caf completed April 17, 2026, 8:16 p.m.
Created at: April 18, 2026, midnight