Triple
T7666902
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Complexity Theory |
E173644
|
entity |
| Predicate | defines |
P264
|
FINISHED |
| Object |
complexity class EXPTIME
EXPTIME is a computational complexity class consisting of decision problems that can be solved by a deterministic Turing machine in exponential time with respect to the size of the input.
|
E679188
|
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: complexity class EXPTIME | Statement: [Complexity Theory, defines, complexity class EXPTIME]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: complexity class EXPTIME Context triple: [Complexity Theory, defines, complexity class EXPTIME]
-
A.
NP-completeness
NP-completeness is a central concept in computational complexity theory that classifies decision problems believed to be among the hardest in NP, such that a polynomial-time solution to any one of them would yield polynomial-time solutions to all problems in NP.
-
B.
Cook–Levin theorem
The Cook–Levin theorem is a foundational result in computational complexity theory that established the Boolean satisfiability problem (SAT) as the first NP-complete problem, launching the theory of NP-completeness.
-
C.
Complexity Theory
Complexity Theory is a branch of theoretical computer science that studies the resources, such as time and space, required to solve computational problems and classifies these problems based on their inherent difficulty.
-
D.
MIP equals NEXP
MIP equals NEXP is a landmark complexity-theoretic result showing that problems solvable by multi-prover interactive proofs exactly match those solvable in nondeterministic exponential time.
-
E.
Blum–Shub–Smale model of computation
The Blum–Shub–Smale model of computation is a theoretical framework for analyzing algorithms over real numbers, extending classical complexity theory beyond discrete computation.
- 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: complexity class EXPTIME Triple: [Complexity Theory, defines, complexity class EXPTIME]
Generated description
EXPTIME is a computational complexity class consisting of decision problems that can be solved by a deterministic Turing machine in exponential time with respect to the size of the input.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: complexity class EXPTIME Target entity description: EXPTIME is a computational complexity class consisting of decision problems that can be solved by a deterministic Turing machine in exponential time with respect to the size of the input.
-
A.
NP-completeness
NP-completeness is a central concept in computational complexity theory that classifies decision problems believed to be among the hardest in NP, such that a polynomial-time solution to any one of them would yield polynomial-time solutions to all problems in NP.
-
B.
Cook–Levin theorem
The Cook–Levin theorem is a foundational result in computational complexity theory that established the Boolean satisfiability problem (SAT) as the first NP-complete problem, launching the theory of NP-completeness.
-
C.
Complexity Theory
Complexity Theory is a branch of theoretical computer science that studies the resources, such as time and space, required to solve computational problems and classifies these problems based on their inherent difficulty.
-
D.
MIP equals NEXP
MIP equals NEXP is a landmark complexity-theoretic result showing that problems solvable by multi-prover interactive proofs exactly match those solvable in nondeterministic exponential time.
-
E.
Blum–Shub–Smale model of computation
The Blum–Shub–Smale model of computation is a theoretical framework for analyzing algorithms over real numbers, extending classical complexity theory beyond discrete computation.
- 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_69c699562484819086752091e3164a27 |
completed | March 27, 2026, 2:51 p.m. |
| NER | Named-entity recognition | batch_69c701c1383c8190ab5bf803bd6211a9 |
completed | March 27, 2026, 10:16 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69c89b260000819088d744ea8dc53cd2 |
completed | March 29, 2026, 3:23 a.m. |
| NEDg | Description generation | batch_69c89c037d188190ace1c5e80a43aba0 |
completed | March 29, 2026, 3:26 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69c89c698f2c8190b5d2717835bd1d82 |
completed | March 29, 2026, 3:28 a.m. |
Created at: March 27, 2026, 4 p.m.