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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.
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.
Formalizing syntactic theories with variable binders is not easy. Autosubst is a library for the Coq proof assistant to automate this process. Given an inductive definition of syntactic objects in de Bruijn representation augmented with binding annotations, Autosubst synthesizes the parallel substitution operation and automatically proves the basic lemmas about substitutions. This library contains an automation tactic that solves equations involving terms and substitutions. This makes the usage of substitution lemmas unnecessary. The tactic is based on our current work on a decision procedure for the equational theory of an extension of the sigma-calculus by Abadi et al. The library is completely written in Coq and uses Ltac to synthesize the substitution operation.
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.
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.
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.
Mathematical Components for Coq has its origins in the formal proof of the Four Colour Theorem. Since then it has grown to cover many areas of mathematics and has been used for large scale projects like the formal proof of the Odd Order Theorem.
The library is written using the Ssreflect proof language that is an integral part of the distribution.
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.
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.
Flocq (Floats for Coq) is a floating-point formalization for the Coq system. It provides a comprehensive library of theorems on a multi-radix multi-precision arithmetic. It also supports efficient numerical computations inside Coq.
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.
Interval provides vernacular files containing tactics for simplifying the proofs of inequalities on expressions of real numbers for the Coq proof assistant.
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 the default libSwell.colortheme file for programs that use swell.
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.
expected lite is a single-file header-only library for objects that either represent a valid value or an error that can be passed by value. It is intended for use with C++11 and later. The library is based on the std::expected proposal (http://wg21.link/p0323).
This package contains a C++11 multiple-producer-multiple-consumer lockless queues header library based on circular buffer with std::atomic.
libconfini is an INI file parser library written in C. It focuses on standardization and parsing exactness and is at ease with almost every type of file containing key/value pairs.
This package provides a C++ implementation of a hash map and a hash set with open addressing and sparse quadratic probing. It is intended to be memory efficient and provides additional features, such as heterogeneous lookups and different growth policies.
ArgAgg is yet another C++ command line argument/option parser. It was written as a simple and idiomatic alternative to other frameworks like getopt, Boost program options, TCLAP, and others. The goal is to achieve the majority of argument parsing needs in a simple manner with an easy to use API.
This package provides header only C++ binary serialization library. It is designed around the networking requirements for real-time data delivery, especially for games.
sajson is an in-place JSON parser with support for parsing with only a single memory allocation.
debug_assert is a C++11 header-only library which provides the DEBUG_ASSERT() macro, which among other features can be selectively enabled in different parts of your code.
This package provides a single producer single consumer wait-free and lock-free fixed size queue written in C++11.