The extraction mechanism of Coq allows one to transform Coq proofs and functions into functional programs. We illustrate the behavior of this tool by reviewing several variants of Coq de nitions for Euclidean division, as well as some more advanced examples. We then continue with a more general description of this tool: key features, main examples, strengths, limitations and perspectives.

Phenotypical differences between muscle fibers are associated with a source of cellular energy. Coenzyme Q 10 (CoQ 10 ) is a major component of the mitochondrial oxidative phosphorylation process, and it significantly contributes to the production of cellular energy in the form of ATP. The objective of this study was to determine the relationship between whole-tissue CoQ 10 content, mitochondri...

Interactive Typed Tactic Programming in the Coq Proof Assistant Beta Ziliani 2015 In order to allow for the verification of realistic problems, Coq provides a language for tactic programming, therefore enabling general-purpose scripting of automation routines. However, this language is untyped, and as a result, tactics are known to be difficult to compose, debug, and maintain. In this thesis, I...

Coenzyme Q (CoQ) is necessary for mitochondrial energy production and modulates the expression of genes that are important for inflammatory processes, growth and detoxification reactions. A cellular surveillance-activated detoxification and defenses (cSADDs) pathway has been recently identified in C. elegans. The down-regulation of the components of the cSADDs pathway initiates an aversion beha...

Phenotypical differences between muscle fibers are associated with a source of cellular energy. Coenzyme Q 10 (CoQ 10 ) is a major component of the mitochondrial oxidative phosphorylation process, and it significantly contributes to the production of cellular energy in the form of ATP. The objective of this study was to determine the relationship between whole-tissue CoQ 10 content, mitochondri...

Coenzyme Q (CoQ) is a key component of the mitochondrial respiratory chain, but it also has several other functions in the cellular metabolism. One of them is to function as an electron carrier in the reaction catalyzed by sulfide:quinone oxidoreductase (SQR), which catalyzes the first reaction in the hydrogen sulfide oxidation pathway. Therefore, SQR may be affected by CoQ deficiency. Using hu...

This paper presents an interface for geometry proving. It is a combination of a dynamic geometry software Geogebra[11] with a proof assistant Coq[8]. Thanks to the features of Geogebra, users can create and manipulate geometric constructions, they discover conjectures and interactively build formal proofs with the support of Coq. Our system allows users to construct fully traditional proofs in ...

We present here a new extraction mechanism for the Coq proof assistant [17]. By extraction, we mean automatic generation of functional code from Coq proofs, in order to produce certified programs. In former versions of Coq, the extraction mechanism suffered several limitations and in particular worked only with a subset of the language. We first discuss difficulties encountered and solutions pr...

We describe an implementation and a proof of correctness of binary decision diagrams (BDDs), completely formalized in Coq. This allows us to run BDD-based algorithms inside Coq and paves the way for a smooth integration of symbolic model checking in the Coq proof assistant by using reeection. It also gives us, by Coq's extraction mechanism, certiied BDD algorithms implemented in Caml. We also i...