Program Extraction can translate functions in the Coq language into code in other languages like OCaml or. OCaml does come up in some advanced uses of Coq (if you want to write plug-ins), but for the most part, you can just think of it as the "assembly" that runs your proof assistant. Coq has other options for creating a faster interpreter with extra developer effort. HOL theorem provers A family of tools ultimately derived from the LCF theorem prover. But just like other programming languages, how the language and tools are implemented should almost never be visible within the language: whether it is self-hosted, built using C, assembly, or what not, is an implementation detail to some extent. Coq Allows the expression of mathematical assertions, mechanically checks proofs of these assertions, helps to find formal proofs, and extracts a certified program from the constructive proof of its formal specification. Other common features of functional languages. Now, the Coq system (the type-checker, the compiler, the IDE, etc.) is built using OCaml as the programming language for building the language and tools. The recognition that functions can be treated as data in this way enables a host of useful and powerful idioms. For example, Coq comes with built-in tactics.
In certain proof assistants, the language with which you build your programs is a separate one from the language in which you build your specifications, and the language in which you build your proofs could even be a third language! In Coq, you are able to use Gallina for all three of these tasks, because it uses a unifying framework that supports all those endeavors. Cost of quality (COQ) is defined as a methodology that allows an organization to determine the extent to which its resources are used for activities that prevent poor quality, that appraise the quality of the organization’s products or services, and that result from internal and external failures. Moreover, Coq features a tactic language which allows you to add domain-specific knowledge to aid in your proofs. Gallina is both the "programming language" and the "specification language" of Coq.
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