Bibliographic record
Abstract
A snapshot is an important object in distributed computing whose implementation in asynchronous systems has been studied extensively. It consists of a collection of m >1 components, each storing a value, and supports two atomic operations: an UPDATE of a specified component's value and a SCAN of all components to determine their values at some point in time.In this paper, we investigate implementations of a multiwriter snapshot object in a synchronous shared memory model. In this setting, we show that a snapshot object can be efficiently implemented and prove a tight tradeoff between the complexity of the SCAN and the UPDATE operations. First, we describe a wait-free implementation that performs UPDATE in O(1) time and SCAN in O(m) time, using only slightly more than twice the amount of space needed to simply store the m values. We also describe a variant that performs UPDATE in O(1) time and SCAN in O(n) time.Second, we describe a wait-free implementation that performs UPDATE in O(log m) time and SCAN in O(1) time, and a variant that performs UPDATE in O(log n) time and SCAN in O(1) time.Third, we show how to combine these implementations to realize two implementations that perform UPDATE in Θ(log(m/c)) time and SCAN in Θ(c) time, for 1≤c≤m, or perform UPDATE in Θ(log(n/c)) time and SCAN in Θ(c) time, for 1≤c≤n. This implies that Time[UPDATE] ∈O(log(minm,n/Time[SCAN])). We also prove that Time[UPDATE] ∈ Ω(log(minm,n/Time[SCAN]) ), which matches our upper bound.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.002 | 0.007 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.002 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.003 | 0.005 |
| Open science | 0.002 | 0.003 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.007 | 0.002 |
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 source (direct Gemma or distilled Codex), 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".