Triple
T20512664
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | speedup theorem |
E503602
|
entity |
| Predicate | relatedTo |
P37
|
FINISHED |
| Object |
time hierarchy theorem
The time hierarchy theorem is a fundamental result in computational complexity theory that shows more computational time allows strictly more problems to be solved, establishing a proper hierarchy of time-bounded complexity classes.
|
E1435283
|
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: time hierarchy theorem | Statement: [speedup theorem, relatedTo, time hierarchy theorem]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: time hierarchy theorem Context triple: [speedup theorem, relatedTo, time hierarchy theorem]
-
A.
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.
-
B.
Kleene hierarchy
The Kleene hierarchy is a classification of sets and predicates in arithmetic and recursion theory based on their definability and complexity, introduced by logician Stephen Kleene.
-
C.
Furst–Saxe–Sipser lower bounds
Furst–Saxe–Sipser lower bounds are foundational results in circuit complexity theory that established superpolynomial lower bounds for constant-depth Boolean circuits (AC⁰), demonstrating inherent limitations of such circuits for computing certain functions.
-
D.
Babai–Fortnow–Lund–Safra–Szegedy theorem
The Babai–Fortnow–Lund–Safra–Szegedy theorem is a landmark result in computational complexity theory that characterizes the power of multi-prover interactive proofs by showing they capture exactly the class of nondeterministic exponential-time problems.
-
E.
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.
- 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: time hierarchy theorem Triple: [speedup theorem, relatedTo, time hierarchy theorem]
Generated description
The time hierarchy theorem is a fundamental result in computational complexity theory that shows more computational time allows strictly more problems to be solved, establishing a proper hierarchy of time-bounded complexity classes.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: time hierarchy theorem Target entity description: The time hierarchy theorem is a fundamental result in computational complexity theory that shows more computational time allows strictly more problems to be solved, establishing a proper hierarchy of time-bounded complexity classes.
-
A.
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.
-
B.
Kleene hierarchy
The Kleene hierarchy is a classification of sets and predicates in arithmetic and recursion theory based on their definability and complexity, introduced by logician Stephen Kleene.
-
C.
Furst–Saxe–Sipser lower bounds
Furst–Saxe–Sipser lower bounds are foundational results in circuit complexity theory that established superpolynomial lower bounds for constant-depth Boolean circuits (AC⁰), demonstrating inherent limitations of such circuits for computing certain functions.
-
D.
Babai–Fortnow–Lund–Safra–Szegedy theorem
The Babai–Fortnow–Lund–Safra–Szegedy theorem is a landmark result in computational complexity theory that characterizes the power of multi-prover interactive proofs by showing they capture exactly the class of nondeterministic exponential-time problems.
-
E.
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.
- 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_69e0b4b2aa788190ae9eb37c1d73b1f1 |
completed | April 16, 2026, 10:06 a.m. |
| NER | Named-entity recognition | batch_69e69dcd74c48190b050e25c20154c09 |
completed | April 20, 2026, 9:42 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_6a089d39473c819083117b5185918927 |
completed | May 16, 2026, 4:37 p.m. |
| NEDg | Description generation | batch_6a089e0f67d88190bfb9c6af21907ca8 |
completed | May 16, 2026, 4:40 p.m. |
| NED2 | Entity disambiguation (via description) | batch_6a089e9a267c8190b60806eca6502acc |
completed | May 16, 2026, 4:43 p.m. |
Created at: April 16, 2026, 11:36 a.m.