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Derandomizing Polynomial Identity Tests Means Proving Circuit Lower Bounds

2004· article· en· 384 citations· W2026036943 on OpenAlex· 10.1007/s00037-004-0182-6

Why is this work in the frame?

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

Canadian affiliationAn author listed a Canadian institution. This is the only route the usual frame has.

Full frame distilled prediction

Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

Candidate categories
Meta-epidemiology (narrow)
Consensus categories
none
Domain
Candidate signal: noneConsensus signal: none
Study design
Candidate signal: Theoretical or conceptualConsensus signal: Theoretical or conceptual
Genre
Candidate signal: MethodsConsensus signal: none
Teacher disagreement score
0.718
Threshold uncertainty score
1.000
Validation status
machine_predicted_unvalidated · codex-gemma-dda1882f352a

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0010.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.001
Science and technology studies0.0010.000
Scholarly communication0.0010.002
Open science0.0020.001
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.000

Machine scores (provisional)

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Opus teacher head0.055
GPT teacher head0.288
Teacher spread
0.233 · how far apart the two teachers sit on this one work
Validation status
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Abstract

No abstract. This is not a gap in this database; OpenAlex has none either. 23.3% of the frame is in this state, and the screen finds HALF as much metaresearch here, so the absence is a measured bias rather than a missing field.

The record

Venue
Computational Complexity
Topic
Complexity and Algorithms in Graphs
Field
Computer Science
Canadian institutions
Simon Fraser University
Funders
not available
Keywords
MathematicsPolynomialArithmetic circuit complexityCombinatoricsNondeterministic algorithmDiscrete mathematicsBounded functionIdentity (music)Degree (music)Upper and lower boundsArithmeticArbitrary-precision arithmetic
Has abstract in OpenAlex
no