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Record W2411345296 · doi:10.1016/j.crma.2016.04.009

La logique des parties fractionnaires de nombres réels

2016· article· fr· W2411345296 on OpenAlexaff
Luc Bélair, Françoise Point

Bibliographic record

VenueComptes Rendus Mathématique · 2016
Typearticle
Languagefr
FieldComputer Science
TopicFormal Methods in Verification
Canadian institutionsUniversité du Québec à Montréal
Fundersnot available
KeywordsDecidabilityModuloNatural numberOrder (exchange)ArithmeticMathematicsQuantifier (linguistics)HumanitiesDiscrete mathematicsCombinatoricsComputer sciencePhilosophyArtificial intelligence

Abstract

fetched live from OpenAlex

Le groupe des décimales avec l'addition modulo 1 et l'ordre naturel, qui n'est pas un groupe ordonné au sens habituel, est utilisé pour améliorer l'efficacité des automates temporels de Bouchy, Finkel et Leroux (Decomposition of decidable first-order logics over integers and reals, in : Temporal Representation and Reasoning, Proceedings of the 15th Symposium TIME 2008, IEEE Computer Society Press, 2008, pp. 147–155). Dans cette note, on donne une axiomatisation de cette structure, et on montre qu'elle admet l'élimination des quantificateurs.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

How this classification was reachedexpand

Full frame distilled prediction

Teacher imitation

Not 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.

metaresearch head score (Codex)0.002
metaresearch head score (Gemma)0.002
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesMeta-epidemiology (narrow), Insufficient payload (model declined to judge)
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: Theoretical or conceptual
GenreCandidate signal: Methods · Consensus signal: Methods
Teacher disagreement score0.378
Threshold uncertainty score1.000

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0020.002
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.001
Scholarly communication0.0000.002
Open science0.0010.000
Research integrity0.0010.000
Insufficient payload (model declined to judge)0.0010.001

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.

Opus teacher head0.062
GPT teacher head0.319
Teacher spread0.257 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one teacher head, not a consensus.

Study designTheoretical or conceptual
Domainnot available
GenreMethods

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".

Quick stats

Citations1
Published2016
Admission routes1
Has abstractyes

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