Descriptional Complexity of Block-Synchronization Context-Free Grammars.
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Bibliographic record
Abstract
We consider the descriptional complexity of block-synchronization context-free grammars, BSCF grammars. In particular, we consider the number of necessary situation and begin symbols as complexity measures. For weak and strong derivations, one begin symbol and two situation symbols are sufficient to generate all respective language families. Surprisingly, one situation symbol with equality synchronization is also sufficient to generate all weak derivation BSCF languages. The family of synchronized context-free languages (SCF languages) generated by grammars with one situation symbol using equality synchronization gives a language family properly between that of E0L and ET0L languages. Some normal forms are also presented for all variations. In addition, we show that either prefix or equality synchronization can be used to describe all weak and strong derivation languages.
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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 | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| 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 it