The package is used for reasoning with big enough objects (mostly natural numbers). This package is essentially for backward compatibility purposes as bigenough will be subsumed by the near tactics. The formalization is based on the Mathematical Components library.

Coq is a proof assistant for higher-order logic, which allows the development of computer programs consistent with their formal specification. It is developed using Objective Caml and Camlp5.

This project contains an extended "Standard Library" for Coq called coq-std++. The key features are:

• Great number of definitions and lemmas for common data structures such as lists, finite maps, finite sets, and finite multisets.

• Type classes for common notations (like ∅, ∪, and Haskell-style monad notations) so that these can be overloaded for different data structures.

• It uses type classes to keep track of common properties of types, like it having decidable equality or being countable or finite.

• Most data structures are represented in canonical ways so that Leibniz equality can be used as much as possible (for example, for maps we have m1 = m2 iff ∀ i, m1 !! i = m2 !! i). On top of that, the library provides setoid instances for most types and operations.

• Various tactics for common tasks, like an ssreflect inspired done tactic for finishing trivial goals, a simple breadth-first solver naive_solver, an equality simplifier simplify_eq, a solver solve_proper for proving compatibility of functions with respect to relations, and a solver set_solver for goals involving set operations.

• The library is dependency- and axiom-free.

Interval provides vernacular files containing tactics for simplifying the proofs of inequalities on expressions of real numbers for the Coq proof assistant.

This package provides a survey of programming language semantics styles, from natural semantics through structural operational, axiomatic, and denotational semantics, for a miniature example of an imperative programming language. Their encoding, the proofs of equivalence of different styles, abstract interpretation, and the proof of soundess obtained from axiomatic semantics or abstract interpretation is done in Coq. The tools can be run inside Coq, thus making them available for proof by reflection. Code can also be extracted and connected to a yacc-based parser, thanks to the use of a functor parameterized by a module type of strings. A hand-written parser is also provided in Coq, without associated proofs.

Proof General is a major mode to turn Emacs into an interactive proof assistant to write formal mathematical proofs using a variety of theorem provers.

Gappa is a tool intended to help verifying and formally proving properties on numerical programs dealing with floating-point or fixed-point arithmetic. It has been used to write robust floating-point filters for CGAL and it is used to certify elementary functions in CRlibm. While Gappa is intended to be used directly, it can also act as a backend prover for the Why3 software verification plateform or as an automatic tactic for the Coq proof assistant.

Coquelicot is an easier way of writing formulas and theorem statements, achieved by relying on total functions in place of dependent types for limits, derivatives, integrals, power series, and so on. To help with the proof process, the library comes with a comprehensive set of theorems that cover not only these notions, but also some extensions such as parametric integrals, two-dimensional differentiability, asymptotic behaviors. It also offers some automations for performing differentiability proofs. Moreover, Coquelicot is a conservative extension of Coq's standard library and provides correspondence theorems between the two libraries.

Equations provides a notation for writing programs by dependent pattern-matching and (well-founded) recursion in Coq. It compiles everything down to eliminators for inductive types, equality and accessibility, providing a definitional extension to the Coq kernel.

Coq is a proof assistant for higher-order logic, which allows the development of computer programs consistent with their formal specification. It is developed using Objective Caml and Camlp5.

Coq is a proof assistant for higher-order logic, which allows the development of computer programs consistent with their formal specification. It is developed using Objective Caml and Camlp5.

GNU cpio copies files into or out of cpio or tar archives. Indeed, many formats are supported, including legacy formats. The format is determined automatically by the program and is handled appropriately. Furthermore, the location of the archive is not important. It can be another file on the drive, a tape, or data on a pipe.

This package provides a simple argument parser for C++.

cpplint is a command-line tool to check C/C++ files for style issues following Google’s C++ style guide. While Google maintains its own version of the tool, this is a fork that aims to be more responsive and make cpplint usable in wider contexts.

SafeInt is a class library for C++ that manages integer overflows. It also includes a C library that checks casting, multiplication, division, addition and subtraction for all combinations of signed and unsigned 32-bit and 64-bit integers.

This package provides a header-only implementation of std::variant (formerly boost::variant) for C++11/14.

Kokkos Core implements a programming model in C++ for writing performance portable applications targeting all major HPC platforms. For that purpose it provides abstractions for both parallel execution of code and data management. Kokkos is designed to target complex node architectures with N-level memory hierarchies and multiple types of execution resources.

This package provides a single-header C++11 library for computing Fast Fourier transformations. It supports multidimensional arrays, different floating point sizes and complex transformations.

SObjectizer is a cross-platform "actor frameworks" for C++. SObjectizer supports not only the Actor Model but also the Publish-Subscribe Model and CSP-like channels. The goal of SObjectizer is to simplify development of concurrent and multithreaded applications in C++.

AsmJit is a lightweight library for machine code generation written in C++ language. It can generate machine code for X86 and X86_64 architectures with the support for the whole instruction set from legacy MMX to the newest AVX-512 and AMX. It has a type-safe API that allows C++ compiler to do semantic checks at compile-time even before the assembled code is generated or executed. It also provides an optional register allocator that makes it easy to generate complex code without a significant development effort.

Jsonnet is a templating language extending JSON syntax with variables, conditions, functions and more.

This package provides a simple gettext replacement that works directly on .po files and doesn't need .mo files pre-generated.

tl::optional provides a single-header implementation of the std::optional for C++11/14/17, with support for monadic operations added in C++23.

This package provides a simple S-Expression parser for C++.