Bibliographic record
Abstract
<p>In the search of a way to describe all polynomial-time decision algorithms, there have been many iterations of logical systems. One of the best candidates, Choiceless Polynomial Time (CPT), has been shown to have equivalent expressive power to a less complex Polynomial Interpretation Logic (PIL). The new methodology in PIL is more suitable for constraint satisfaction problems (CSPs), a set of decision problems of interest to many research areas. In this thesis we demonstrate the connection between the run of a PIL program on a structure eq A and A . This connection yields a formula in the original language of the structure equivalent to the output of the program. Under the condition that the structure is a model-complete core, we eq find PIL programs to be polynomial-time equivalent to a CSP. We also show some properties of A which further suggest the usefulness of CSPs in formulating and constructing algorithms for more general decision problems on special classes of infinite structures. We end by showing we can use PIL programs to express the solvability of Cyclic Equation Systems over different domains.</p>
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. 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.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.002 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
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.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".