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Classification of Alignments Between Concepts of Formal Mathematical Systems [chapter]

Dennis Müller, Thibault Gauthier, Cezary Kaliszyk, Michael Kohlhase, Florian Rabe
2017 Lecture Notes in Computer Science  
Finally, we present an initial collection of ≈ 12000 alignments from the different kinds of mathematical corpora, including proof assistant libraries and semi-formal corpora as a public resource.  ...  We speak of alignment if the same concept occurs in different libraries, possibly with slightly different names, notations, or formal definitions.  ...  For example, Wiedijk [Wie06] explored a single theorem (and its proof) across 17 proof assistants implicitly generating alignments between the concepts present in the theorem's statement and proof.  ... 
doi:10.1007/978-3-319-62075-6_7 fatcat:25nchzaurjbarpg4rkav4xdztu

Alignment-based Translations Across Formal Systems Using Interface Theories

Dennis Müller, Colin Rothgang, Yufei Liu, Florian Rabe
2017 Electronic Proceedings in Theoretical Computer Science  
Then we use alignments to record how the concepts in the interface theories are realized in several major proof assistant libraries, and we use that information to translate expressions across libraries  ...  In previous work we introduced alignments as a lightweight standard for relating concepts across libraries and conjectured that it would provide a good base for translating expressions.  ...  We present the largest set ever of systematically collected, human-verified alignments from multiple major proof assistants.  ... 
doi:10.4204/eptcs.262.7 fatcat:cea7qlpkpbe6zo6luoyihenfya

JEFL: Joint Embedding of Formal Proof Libraries [article]

Qingxiang Wang, Cezary Kaliszyk
2021 arXiv   pre-print
The heterogeneous nature of the logical foundations used in different interactive proof assistant libraries has rendered discovery of similar mathematical concepts among them difficult.  ...  In this paper, we compare a previously proposed algorithm for matching concepts across libraries with our unsupervised embedding approach that can help us retrieve similar concepts.  ...  Acknowledgements We are largely indebted to Thibault Gauthier for his work on alignments and the various data exports that we re-use.  ... 
arXiv:2107.10188v1 fatcat:wknmuawpkvdqvopkf5zb3akc4y

A Survey of Languages for Formalizing Mathematics [article]

Cezary Kaliszyk, Florian Rabe
2020 arXiv   pre-print
In this paper we discuss languages that have been created for this purpose, including logical languages of proof assistants and other formal systems, semi-formal languages, intermediate languages for exchanging  ...  The latter includes alignment from six proof assistants [GK19], showing that such alignments allow both conjecturing and more powerful automation [GK15].  ...  Both exact manual efforts [MRLR17] and machine learning-based heuristic approaches were used to find alignments across formal libraries.  ... 
arXiv:2005.12876v1 fatcat:lwpxnq4wdjexxar3ocod3ncdvy

Digital literacy

Sue Owen, Pauline Hagel, Bernie Lingham, Daisy Tyson
2016 discourse: Deakin University Library research and practice  
University Library Liaison librarians contribute expertise on digital literacy to the ongoing enhancement of courses across all Faculties,  ...  , services and expertise within Faculties, Deakin Learning Futures, the Library, Deakin Student Life, Equity and Diversity and other support areas who can assist you in developing curriculum and learning  ...  Integrating Digital Literacy in course curricula aligns with the AQF requirement to future-proof students for evolving careers.  ... 
doi:10.21153/dsc2016no3art1 fatcat:hn5b3hygijhszovv3gvf7ocyf4

Planning a 21st Century Global Library for Mathematics Research

Jim Pitman, Clifford Lynch
2014 Notices of the American Mathematical Society  
scalable methods and algorithms to assist human agents in identifying important mathematical concepts contained in the research literature-even while fully automated recognition remains something to aspire  ...  Finding: While fully automated recognition of mathematical concepts and ideas (e.g., theorems, proofs, sequences, groups) is not yet possible, significant benefit can be realized by utilizing existing  ... 
doi:10.1090/noti1143 fatcat:pm3bpifayndvxljtbbjpwwtzdm

A new strategy for genome assembly using short sequence reads and reduced representation libraries

A. L. Young, H. O. Abaan, D. Zerbino, J. C. Mullikin, E. Birney, E. H. Margulies
2010 Genome Research  
As proof of concept, we applied this approach to sequence and assembled the majority of the 125-Mb Drosophila melanogaster genome.  ...  Together, these libraries allow us to reassemble the entire genome without the need of a reference sequence.  ...  Salzberg's lab for assistance with implementing the Minimus assembler; J. Becker for computational assistance; L. Brody, E. Green, R.  ... 
doi:10.1101/gr.097956.109 pmid:20123915 pmcid:PMC2813480 fatcat:lup2fcn2praepcgfu2m63dcigm

MiniF2F: a cross-system benchmark for formal Olympiad-level mathematics [article]

Kunhao Zheng, Jesse Michael Han, Stanislas Polu
2021 arXiv   pre-print
Library-specific train/test splits are siloed by construction, dependent on how theorems and lemmas are split in these libraries, and as such are not directly comparable across systems.  ...  [24] built CoqGym, a large-scale dataset, which comes also with a learning environment, of 71k human-written proofs in Coq proof assistant.  ... 
arXiv:2109.00110v1 fatcat:qmjhilfoifbmhdafhgnbsdqnni

Reference Genomes from Distantly Related Species Can Be Used for Discovery of Single Nucleotide Polymorphisms to Inform Conservation Management

Stephanie J. Galla, Natalie J. Forsdick, Liz Brown, Marc Hoeppner, Michael Knapp, Richard F. Maloney, Roger Moraga, Anna W. Santure, Tammy E. Steeves
2018 Genes  
of concept.  ...  high-quality reference genomes for single nucleotide polymorphism (SNP) discovery using the critically endangered kakī/black stilt (Himantopus novaezelandiae) and four Charadriiform reference genomes as proof  ...  Here, we explore the utility of closely related reference genomes for SNP discovery using a critically endangered wading bird, the kakī, as proof of concept.  ... 
doi:10.3390/genes10010009 fatcat:lbybv7gqmjg4nd6zfm23rnbztu

Creating Tomorrow's Technologists: Contrasting Information Technology Curriculum in North American Library and Information Science Graduate Programs against Code4lib Job Listings

Monica Maceli
2015 Journal of Education For Library and Information Science  
Finally, this study presents a series of suggestions for LIS educators in order that they continue to keep curriculum aligned with current technology employment requirements.  ...  This research study explores technology-related course offerings in ALA-accredited library and information science (LIS) graduate programs in North America.  ...  Acknowledgements The author would like to thank graduate assistants Rikki Pennisi and Diana Sapanaro for their contributions to data collection and Ed Summers, of the Maryland Institute for Technology  ... 
doi:10.3138/jelis.56.3.198 fatcat:3psy2cr2jfda7cuq3pdjprnfe4

Utilization of Super BAC Pools and Fluidigm Access Array Platform for High-Throughput BAC Clone Identification: Proof of Concept

Peter J. Maughan, Scott M. Smith, Joshua A. Raney
2012 Journal of Biomedicine and Biotechnology  
Bacterial artificial chromosome (BAC) libraries are critical for identifying full-length genomic sequences, correlating genetic and physical maps, and comparative genomics.  ...  genotyping technology to identify individual BAC clones corresponding to specific single-nucleotide polymorphisms (SNPs) from an Amplicon Express seven-plate super pooledAmaranthus hypochondriacusBAC library  ...  Edward Wilcox (BYU) for his assistance with 454pyrosequencing and David Harker (BYU) for his assistance with the BAC clone verification.  ... 
doi:10.1155/2012/405940 pmid:22910714 pmcid:PMC3403795 fatcat:gmuyeka4o5ajlfnpkyevupehge

Making Isabelle Content Accessible in Knowledge Representation Formats [article]

Michael Kohlhase, Florian Rabe, Makarius Wenzel
2020 arXiv   pre-print
The libraries of proof assistants like Isabelle, Coq, HOL are notoriously difficult to interpret by external tools: de facto, only the prover itself can parse and process them adequately.  ...  Such a systematic export of Isabelle content to a well-defined interchange format like OMDoc enables many applications such as dependency management, independent proof checking, or library search.  ...  Regarding sharing among proof assistants, library translations such as [OS06, KK13, KW10, KS10] have been used to transport theorems across systems.  ... 
arXiv:2005.08884v1 fatcat:tnzdgnb22zedvod3odyj6avqye

Instance-based Semantic Interoperability in the Cultural Heritage

Shenghui Wang, Antoine Isaac, Stefan Schlobach, Lourens van der Meij, Balthasar Schopman
2012 Semantic Web Journal  
It discusses two different ways to evaluate potential alignments, one based on the application of re-indexing, one using a reference alignment.  ...  Finding mappings that are difficult to find by humans Manual matching is labor-intensive, and automatic alignment can help a lot to assist this process.  ...  Rameau contains more than 150K concepts used to annotate books in the French National library.  ... 
doi:10.3233/sw-2012-0045 fatcat:fq37ewm5fjgb7k3vaipvsfn5ty

Cas9-Assisted Targeting of CHromosome segments (CATCH) for targeted nanopore sequencing and optical genome mapping [article]

Tslil Gabrieli, Hila Sharim, Yael Michaeli, Yuval Ebenstein
2017 bioRxiv   pre-print
As a proof of concept we used the E. coli strain K-12 MG1655, which has a genome size of ~4.5 Mbp.  ...  As a proof of concept, we successfully excised and enriched bacterial DNA of an approximately 200 kbp fragment.  ... 
doi:10.1101/110163 fatcat:te4ey4q5ljb5zoo436b2d7mm64

Alternative expression analysis by RNA sequencing

Malachi Griffith, Obi L Griffith, Jill Mwenifumbo, Rodrigo Goya, A Sorana Morrissy, Ryan D Morin, Richard Corbett, Michelle J Tang, Ying-Chen Hou, Trevor J Pugh, Gordon Robertson, Suganthi Chittaranjan (+14 others)
2010 Nature Methods  
., T.Z. and M.H. performed Illumina library construction and sequencing. S.C. and J.M. assisted with experimental validations. S.J.M.J. and G.B.M. contributed concepts and experimental designs.  ...  O.L.G., R.G., G.R. and R.D.M. contributed to analysis concepts and assisted with programming and code testing. A.S.M., R.G and R.C. assisted with comparisons to other alternative expression tools.  ... 
doi:10.1038/nmeth.1503 pmid:20835245 fatcat:zfhez75t7beytnryyrgdt5s3lu
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