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An introduction to small scale reflection in Coq

Georges; Microsoft Research Cambridge-INRIA Microsoft Research Joint Centre Gonthier, Assia; INRIA Microsoft Research Joint Centre Mahboubi
2010 Journal of Formalized Reasoning  
It focuses on the application of the small scale reflection methodology to the formalization of finite objects in intuitionistic type theory.  ...  This extension consists of an extension to the Coq language of script, and of a set of libraries, originating from the formal proof of the Four Color theorem.  ...  Acknowledgments he seond uthor wishes to thnk fenjmin erner for suggesting some of the exerises proposed in this tutorilF e lso thnk vurene ideuD vuE rent héry nd inrio ssi for proof reding nd ommentsF  ... 
doi:10.6092/issn.1972-5787/1979 dblp:journals/jfrea/GonthierM10 fatcat:4xmxy3hufvcujgxybo6fncnee4

QED at Large: A Survey of Engineering of Formally Verified Software

Talia Ringer, Karl Palmskog, Ilya Sergey, Milos Gligoric, Zachary Tatlock
2019 Foundations and Trends® in Programming Languages  
Projects based on construction of machine-checked formal proofs are now reaching an unprecedented scale, comparable to large software projects, which leads to new challenges in proof development and maintenance  ...  Despite its increasing importance, the field of proof engineering is seldom considered in its own right; related theories, techniques, and tools span many fields and venues.  ...  Challenges at Scale Scaling up leads to new challenges and additional demand for tool support in proof development and maintenance.  ... 
doi:10.1561/2500000045 fatcat:gb4mbpqn4jbufplrbk2y75huzu

Coenzyme Q10 in the Treatment of Mitochondrial Disease

Viruna Neergheen, Annapurna Chalasani, Luke Wainwright, Delia Yubero, Raquel Montero, Rafael Artuch, Iain Hargreaves
2017 Journal of Inborn Errors of Metabolism and Screening  
The therapeutic efficacy of CoQ 10 is not restricted to patients with an underlying CoQ 10 deficiency and is thought to result from its ability to restore electron flow in the mitochondrial respiratory  ...  Coenzyme Q 10 (CoQ 10 ) and related synthetic quinones are the only agents to date that have proven to be beneficial in the treatment of these heterogeneous disorders.  ...  is associated with MRC dysfunction 22 or just be a reflection of generalized mitochondrial impairment. 16 The decrease of plasma/serum CoQ 10 levels in patients may also reflect an increased utilization  ... 
doi:10.1177/2326409817707771 fatcat:xubuqckblnglxny2biid5u22ba

Reflexive tactics for algebra, revisited [article]

Kazuhiko Sakaguchi
2022 arXiv   pre-print
Computational reflection allows us to turn verified decision procedures into efficient automated reasoning tools in proof assistants.  ...  As applications of our methodology, we adapt the ring and field tactics of Coq to the commutative ring and field structures of the Mathematical Components library, and apply the resulting tactics to the  ...  This conversion is another instance of computational reflection, so-called small-scale reflection.  ... 
arXiv:2202.04330v1 fatcat:l5b2q4hxdbb6zdw4l45nqwgwd4

Effectiveness of CoQ10 Oral Supplements as an Adjunct to Scaling and Root Planing in Improving Periodontal Health

Sathish Manthena
2015 Journal of Clinical and Diagnostic Research  
Dentisry Section Effectiveness of CoQ10 Oral Supplements as an Adjunct to Scaling and Root Planing in Improving Periodontal Health ABStrAct Introduction: Deficiency of CoQ 10 was found in human inflamed  ...  Aim: To evaluate the effectiveness of CoQ 10 supplementation as an adjunct to scaling and rootplaning in reducing gingival inflammation and periodontal pocket depth.  ... 
doi:10.7860/jcdr/2015/13486.6291 pmid:26436041 pmcid:PMC4576635 fatcat:hlae6njakjcybj7alep2rot4tu

MirrorShard: Proof by Computational Reflection with Verified Hints [article]

Gregory Malecha, Adam Chlipala, Thomas Braibant, Patrick Hulin, Edward Z. Yang
2013 arXiv   pre-print
We have implemented our techniques in MirrorShard, an open-source framework for reflective verification.  ...  We demonstrate its applicability by instantiating it to separation logic in order to reason about imperative program verification.  ...  The Ssreflect Coq library [19] employs a small-scale reflection style where many predicates are coded as functional programs returning Booleans, sidestepping concerns of decidability.  ... 
arXiv:1305.6543v1 fatcat:nqynxdo6lbdy3l7aqpscixmjzy

Localization of coenzyme Q10 in the center of a deuterated lipid membrane by neutron diffraction

Thomas Hauß, Silvia Dante, Thomas H. Haines, Norbert A. Dencher
2005 Biochimica et Biophysica Acta - Bioenergetics  
Thus ubiquinone, in addition to its free radical scavenging and its well-known role in oxidative phosphorylation as a carrier of electrons and protons, might also act as an inhibitor of transmembrane proton  ...  to show that all natural polyisoprene chains lie in the bilayer center.  ...  Introduction Redox-active quinones with long polyisoprenoid chains like coenzyme Q are ubiquitous in eukaryotes.  ... 
doi:10.1016/j.bbabio.2005.08.007 pmid:16199002 fatcat:n32jrfortnf2fmo6q6uvuxhcbi

Ubiquinol-10 ameliorates mitochondrial encephalopathy associated with CoQ deficiency

Laura García-Corzo, Marta Luna-Sánchez, Carolina Doerrier, Francisco Ortiz, Germaine Escames, Darío Acuña-Castroviejo, Luis C. López
2014 Biochimica et Biophysica Acta - Molecular Basis of Disease  
Acknowledgements We are grateful to Dr. Ana Nieto (Universidad de Granada), Dr. Iryna Rusanova (Universidad de Granada), and Dr.  ...  The results shown in this article will constitute a section of the Laura García-Corzo's doctoral thesis at the University of Granada. This  ...  The increase of plasma CoQ 10 concentration in Coq9 X/X mice was reflected in an increase of CoQ 10 levels in tissues of treated mice.  ... 
doi:10.1016/j.bbadis.2014.02.008 pmid:24576561 fatcat:kgmjsppj7fexhma7v5gtdbg4xa


Arvind Chopra, Dixit Garg
2012 International Journal for Quality Research  
Quality cost system has the potential to become an excellent tool in the overall management of a business.  ...  It can provide an indication of the health of management performance in many areas of a company. The implementation of quality costing can produce significant benefits.  ...  Even a small reduction in CoQ may boost the profitability of a company by a significant amount.  ... 
doaj:bd0d1613c2d34724a6a7cef23248ff24 fatcat:cuzxmmrujzdorlr3qbag2rgo6e

Licensing the Mizar Mathematical Library [chapter]

Jesse Alama, Michael Kohlhase, Lionel Mamane, Adam Naumowicz, Piotr Rudnicki, Josef Urban
2011 Lecture Notes in Computer Science  
The Coq proof assistant together with the CoRN repository are added to the pool of systems handled by the general wiki system described in DBLP:conf/aisc/UrbanARG10.  ...  A smart re-verification scheme for the large formal libraries in the wiki is suggested for Mizar/MML and Coq/CoRN, based on recently developed precise tracking of mathematical dependencies.  ...  Introduction: Developing Formal Math Wikis This paper describes a third iteration in the MathWiki development. 4 An agile software development cycle typically includes several (many) loops of requirements  ... 
doi:10.1007/978-3-642-22673-1_11 fatcat:qafcwjbrwzgdzm5l5ccb3bffp4

Plasma 8-hydroxy-2′-deoxyguanosine Levels in Huntington Disease and Healthy Controls Treated with Coenzyme Q10

K.M. Biglan, E.R. Dorsey, R.V.V. Evans, C.A. Ross, S. Hersch, I. Shoulson, W. Matson, K. Kieburtz, for the Huntington Study Group Pre2CARE Investigators
2012 Journal of Huntington's Disease  
CoQ treatment reduces plasma 8OHdG and this reduction may serve as a marker of pharmacologic activity of CoQ in HD.  ...  We analyzed plasma 8OHdG concentrations in 20 individuals enrolled in the Pre-2CARE study before and after treatment with CoQ.  ...  ACKNOWLEDGMENTS The authors would like to thank Matt Grana and Michael Bull for assistance in the preparation of this manuscript.  ... 
doi:10.3233/jhd-2012-120007 pmid:25063191 pmcid:PMC4115297 fatcat:ne6qjfltr5eyfftoase4sof5ji

From Sets to Bits in Coq [chapter]

Arthur Blot, Pierre-Évariste Dagand, Julia Lawall
2016 Lecture Notes in Computer Science  
In the Coq proof assistant, we implement a bitset library and prove its correctness with respect to a formalization of finite sets.  ...  Computer Science abounds in folktales about how -in the early days of computer programming -bit vectors were ingeniously used to encode and manipulate finite sets.  ...  We finally thank the anonymous FLOPS reviewers, whose remarks helped us to streamline our presentation.  ... 
doi:10.1007/978-3-319-29604-3_2 fatcat:xc37xrcbczeu5kc3frllvds7lu

Mechanized Theory of Event Structures: A Case of Parallel Register Machine

Vladimir Gladstein, Dmitrii Mikhailovskii, Evgenii Moiseenko, Anton Trunov
2021 Proceedings of the Institute for System Programming of RAS  
In this work-in-progress report, we present a theory of event structures mechanized in the COQ proof assistant and demonstrate how it can be applied to define certified executable semantics of a simple  ...  The true concurrency models, and in particular event structures, have been introduced in the 1980s as an alternative to operational interleaving semantics of concurrency, and nowadays they are regaining  ...  We also use the small-scale reflection methodology [18] , [19] , a key ingredient of SSREFLECT.  ... 
doi:10.15514/ispras-2021-33(3)-11 fatcat:l26vlarbcjdura5xtmxwpvkfwe

Importing HOL Light into Coq [chapter]

Chantal Keller, Benjamin Werner
2010 Lecture Notes in Computer Science  
We present a new scheme to translate mathematical developments from HOL Light to Coq, where they can be re-used and rechecked.  ...  In particular, our translation keeps the mathematical statements intelligible. This translation has been implemented and allows the importation of the HOL Light basic library into Coq.  ...  Acknowledgments We are particularly grateful to Carlos Simpson who suggested the use of normalization by evaluation for translating HOL proofs to Coq and provided the stimulus for this work.  ... 
doi:10.1007/978-3-642-14052-5_22 fatcat:nuvfg4jtw5ajnh6uhlf3rvwrua

Coenzyme Q10 and its effects in the treatment of neurodegenerative diseases

Graciela Cristina dos Santos, Lusânia Maria Greggi Antunes, Antonio Cardozo dos Santos, Maria de Lourdes Pires Bianchi
2009 Brazilian Journal of Pharmaceutical Sciences  
The property of CoQ10 to act as an antioxidant or a pro-oxidant, suggests that it also plays an important role in the modulation of redox cellular status under physiological and pathological conditions  ...  However, further studies are needed to assess the outcome and effectiveness of CoQ10 before exposing patients to unnecessary health risks at significant costs.  ...  It is important to emphasize that the platelets reflect certain biochemical processes that occur in the brain (Shults, Haas, Beal, 1999) .  ... 
doi:10.1590/s1984-82502009000400002 fatcat:ugchf67p6jdpfodpyzygtr2kme
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