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Bignums is a coq library of arbitrary large numbers. It provides BigN, BigZ, BigQ that used to be part of Coq standard 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.
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.
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.
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 library is an extension of coq-mathcomp which supports finite sets and finite maps on choicetypes (rather than finite types). This includes support for functions with finite support and multisets. The library also contains a generic order and set library, which will eventually be used to subsume notations for finite sets.
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.
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.
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.
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.
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.
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.
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.
SysCmdLine is a C++ command line parser that is inspired by QCommandLineParser from Qt and System.CommandLine from C#. It has features such as:
Support sub-commands
Support case-insensitive parsing
Support global options
Support mutually exclusive options
Support short options and group flags
Support help text customization
Support localization
Simple tips for typo correction
Highly configurable
Friendly interface
sajson is an in-place JSON parser with support for parsing with only a single memory allocation.
This package provides simple string utilities for C++.
libcutl is a C++ utility library. It contains a collection of generic and independent components such as meta-programming tests, smart pointers, containers, compiler building blocks, etc.
xtl is a C++ header-only template library providing basic tools (containers, algorithms) used by other QuantStack packages.
This package provides a header-only library to retrieve the file names of XDG base directories, such as XDG_CONFIG_HOME.
nlohmann::json is a C++ JSON library that provides intuitive syntax and trivial integration.
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.
Rct is a set of C++ tools that provide nicer (more Qt-like) APIs on top of Standard Template Library (STL) classes.
The Clipper library performs line & polygon clipping - intersection, union, difference & exclusive-or, and line & polygon offsetting. The library is based on Vatti's clipping algorithm.Note: This package is a major update of the original clipper library.
BibleSync is a multicast protocol to support Bible software shared co-navigation. The premise is that there is a local network over which to multicast Bible navigation, and someone, possibly several someones, will transmit, and others will receive. The library implementing the protocol is a single C++ class providing a complete yet minimal public interface to support mode setting, setup for packet reception, transmit on local navigation, and handling of incoming packets.