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.

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.

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.

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.

Bignums is a coq library of arbitrary large numbers. It provides BigN, BigZ, BigQ that used to be part of Coq standard library.

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.

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.

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.

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.

This package provides ectool, a program to dump and modify the contents of EC RAM on mobile computers.

This package provides ifdtool, a program to dump Intel Firmware Descriptor data of an image file.

The bucts command can flip a bit in the BUC.TS register of the Intel I945 chipsets and show the register status. When the bit is set, it swaps the bootblock location. Because the bootblock region is often set read-only by the default BIOS, this enables to bypass that restriction and is used as part of a procedure to replace the nonfree BIOS with free software on various computers (Lenovo X60, X60s, X60T, T60, probably more).

The bincfg program comes with specifications files for the following binary formats:

• Various DDR3 and DDR4 SPD

• Configuration data for the Intel 82579LM Gigabit Ethernet PHY

• Configuration data for the Intel Gigabit Ethernet controller present in the Intel ICH9-M chipset.

• Intel Firmware Descriptor data for the Lenovo ThinkPad X200

• Configuration data for the ITE IT8718F SuperIO

It also comes with example files generated by bincfg.

This package provides tools for working with Intel Management Engine (ME). You need to sudo rmmod mei_me and sudo rmmod mei before using this tool. Also pass iomem=relaxed to the Linux kernel command line.

nvramtool can see and/or modify Coreboot settings like the serial port speed, log level, etc. It requires Coreboot to be compiled with CONFIG_USE_OPTION_TABLE and some options require the iomem=relaxed kernel command line to work. Features:

• If Coreboot was compiled without CONFIG_STATIC_OPTION_TABLE, it can change its settings, which are applied after a reboot.

• It can modify Coreboot images default settings with nvramtool -C coreboot.rom [...].

• It has various options related to the file format used to store these settings.

• It can also read/write the CMOS memory where the Coreboot settings can be located.

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 simple property input/output utilities for C++.

The Permuted Congruential Generator (PCG) extends the Linear Congruential Generator (LCG) with a permutation function to increase output randomness while retaining speed, simplicity, and conciseness.

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.

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.

Lager is a library for value-oriented design implementing the unidirectional data-flow architecture. Apart from a store and various event loops it also provides lenses and cursors.