Machine Learning of Coq Proof Guidance: First Experiments

We report the results of the first experiments with learning proof dependencies from the formalizations done with the Coq system. We explain the process of obtaining the dependencies from the Coq proofs, the characterization of formulas that is used for the learning, and the evaluation method. Various machine learning methods are compared on a dataset of 5021 toplevel Coq proofs coming from the CoRN repository. The best resulting method covers on average 75% of the needed proof dependencies among the first 100 predictions, which is a comparable performance of such initial experiments on other large-theory corpora

Dependencies in Formal Mathematics: Applications and Extraction for Coq and Mizar

Two methods for extracting detailed formal dependencies from the Coq and Mizar system are presented and compared. The methods are used for dependency extraction from two large mathematical repositories: the Coq Repository at Nijmegen and the Mizar Mathematical Library. Several applications of the detailed dependency analysis are described and proposed. Motivated by the different applications, we discuss the various kinds of dependencies that we are interested in,and the suitability of various dependency extraction methods

A Document-Oriented Coq Plugin for TeXmacs

Contains fulltext : 36211.pdf (author's version ) (Open Access

Cuan Mhuire Lumen Initiative.

Contains fulltext : 36143.pdf (author's version ) (Open Access

An Interactive Algebra Course with Formalised Proofs and Definitions

Abstract. We describe a case-study of the application of web-technology (Helm [2]) to create web-based didactic material out of a repository of formal mathematics (C-CoRN [5]), using the structure of an existing course (IDA [4]). The paper discusses the difficulties related to associating notation to a formula, the embedding of formal notions into a document (the “view”), and the rendering of proofs. 4

Facilitating human papillomavirus vaccination pathways by extending vaccination competencies to community pharmacists: A cross-sectional survey on the acceptability and expectations among healthcare professionals and parents

Background: Human papillomavirus (HPV) vaccination coverage rate (VCR) remains low in France (37.4% in girls in 2021). The French health authority recommended in 2022 to extend vaccination competencies to additional healthcare providers (HCPs), including community pharmacists (CPs). Objectives: To understand the acceptability by general practitioners (GPs), CPs and parents of adolescents of extending vaccination competencies and to identify benefits and barriers of new vaccination pathways. Methods: This cross-sectional research used a qualitative and quantitative approach. For the quantitative survey, GPs, CPs and parents of adolescents eligible to HPV vaccination completed an online questionnaire. Participants were asked to imagine themselves in different pathways and evaluate them. Results: A total of 200 GPs, 201 CPs and 800 parents were included. The level of acceptability of extending vaccination competencies to other HCPs was high in CPs (86% rated ≥7/10), but low in GPs (35%) and intermediate in parents (61%). Parents ranked first (44%) a pathway where GPs prescribed while CPs vaccinated because GPs inspire confidence as vaccine prescribers (80%) and parents prefer to be informed on vaccination by them (80%). CPs ranked first (42%) a scenario where they vaccinated after invitation of adolescents from the French National Health Insurance Fund (NHIS). They emphasized the simplicity of this scenario (94%) and the potential increase of VCR (91%), but asked to be more informed on HPV vaccination (77%) and favored television (83%) for communication campaigns. Conclusions: GPs and parents, in contrast with community pharmacists, were only moderately supportive of the extension the vaccination competencies. Confidence in the HCP remains the primary factor for adherence to a vaccination pathway beyond the simplicity of the pathway. Training of CPs, traceability tool, support from authorities and communication campaigns are levers that will support CPs in their new role and contribute to increase parents' acceptability toward CPs