Triple
T9809639
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Herbrand universe |
E238235
|
entity |
| Predicate | appearsIn |
P795
|
FINISHED |
| Object | Herbrand’s theorem |
E238234
|
NE FINISHED |
Disambiguation candidates (1 decision)
The exact options the model was shown at each disambiguation step, with the option it chose highlighted — the evidence behind this triple's disambiguated ids.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Herbrand’s theorem Context triple: [Herbrand universe, appearsIn, Herbrand’s theorem]
-
A.
Herbrand's theorem
chosen
Herbrand's theorem is a fundamental result in mathematical logic and proof theory that characterizes the validity of first-order formulas via finite sets of ground instances, forming a basis for automated theorem proving.
-
B.
Herbrand semantics
Herbrand semantics is a formal framework in logic and automated theorem proving that interprets first-order formulas over the Herbrand universe of ground terms to define truth and satisfiability.
-
C.
Herbrand universe
The Herbrand universe is a fundamental concept in mathematical logic and automated theorem proving, consisting of all ground (variable-free) terms that can be built from the function symbols and constants of a given first-order language.
-
D.
Herbrand conjunction (for universal formulas)
A Herbrand conjunction (for universal formulas) is a finite conjunction of ground instances of a universally quantified formula, used in Herbrand’s theorem and automated reasoning to represent universal information over a Herbrand universe.
-
E.
Herbrand disjunction
Herbrand disjunction is a logical formula formed as a finite disjunction of ground instances of a first-order formula, central to Herbrand’s theorem in proof theory and automated reasoning.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (3 batches)
| Stage | Batch ID | Job type | Status |
|---|---|---|---|
| creating | batch_69ca84defac48190abc1148804f184c1 |
elicitation | completed |
| NER | batch_69cdb220310c8190a16ca0b746f0ef7a |
ner | completed |
| NED1 | batch_69d1eacbc2348190bac1cc7f41a389b9 |
ned_source_triple | completed |
Created at: March 30, 2026, 8:29 p.m.