MétaCan
Menu
Back to cohort
Record W2415634217

Calculi for an Intuitionistic Hybrid Modal Logic

2009· preprint· en· W2415634217 on OpenAlexaff
Didier Galmiche, Yakoub Salhi

Bibliographic record

Venuenot available
Typepreprint
Languageen
FieldComputer Science
TopicLogic, programming, and type systems
Canadian institutionsPrevention of Organ Failure
Fundersnot available
KeywordsModal logicIntuitionistic logicComputer scienceSequentProof calculusMultimodal logicSequent calculusAccessibility relationCurry–Howard correspondenceCut-elimination theoremModalContext (archaeology)Intermediate logicFragment (logic)Normal modal logicLinear logicAlgorithmNatural deductionTheoretical computer scienceDescription logicMathematicsProgramming languageMathematical proof
DOInot available

Abstract

fetched live from OpenAlex

In this paper we study proof-search in an intuitionistic hybrid modal logic (for places), denoted IHML P, whose modalities allow us to validate properties taking into account the notion of place. In this context we propose different sequent calculi for this logic and also tableau rules in the perspective of proof-search and countermodel generation. As this logic can be seen as an instance of Hybrid IS5 we can derive new calculi and procedures for this logic. Finally we define a terminating calculus for the �-free fragment of IHML P and then propose a decision procedure with countermodel generation.

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)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: Theoretical or conceptual
GenreCandidate signal: Methods · Consensus signal: none
Teacher disagreement score0.922
Threshold uncertainty score0.974

Codex and Gemma teacher scores by category

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

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.

Opus teacher head0.058
GPT teacher head0.301
Teacher spread0.242 · 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.

The models applied no category: nothing in the taxonomy fit this work.
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

Citations4
Published2009
Admission routes1
Has abstractyes

Explore more

Same topicLogic, programming, and type systemsFrench-language works237,207