# Coq-std++ [[coqdoc]](https://plv.mpi-sws.org/coqdoc/stdpp/) This project contains an extended "Standard Library" for Coq called coq-std++. The key features of this library are as follows: - It provides a great number of definitions and lemmas for common data structures such as lists, finite maps, finite sets, and finite multisets. - It uses 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. - It provides 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. - It is entirely dependency- and axiom-free. ## Side-effects Importing std++ has some side effects as the library sets some global options. Notably: * `Generalizable All Variables`: This option enables implicit generalization in arguments of the form `` `{...}`` (i.e., anonymous arguments). Unfortunately, it also enables implicit generalization in `Instance`. We think that the fact that both behaviors are coupled together is a [bug in Coq](https://github.com/coq/coq/issues/6030). * The behavior of `Program` is tweaked: `Unset Transparent Obligations`, `Obligation Tactic := idtac`, `Add Search Blacklist "_obligation_"`. See [`base.v`](theories/base.v) for further details. * It blocks `simpl` on all operations involving integers `Z` (by setting `Arguments op : simpl never`). We do this because `simpl` tends to expose the internals of said operations (e.g. try `simpl` on `Z.of_nat (S n) + y`). As a consequence of blocking `simpl`, due to [Coq bug #5039](https://github.com/coq/coq/issues/5039) the `omega` tactic becomes unreliable. We do not consider this an issue since we use `lia` (for which the aforementioned Coq bug was fixed) instead of `omega` everywhere. ## Prerequisites This version is known to compile with: - Coq version 8.7.2 / 8.8.2 / 8.9.0 / 8.9.1 / 8.10.0 / 8.10.1 ## Installing via opam To obtain the latest stable release via opam (1.2.2 or newer), you have to add the Coq opam repository: opam repo add coq-released https://coq.inria.fr/opam/released Then you can do `opam install coq-stdpp`. To obtain a development version, add the Iris opam repository: opam repo add iris-dev https://gitlab.mpi-sws.org/iris/opam.git ## Building from source Run `make -jN` in this directory to build the library, where `N` is the number of your CPU cores. Then run `make install` to install the library. ## Contributing to std++ If you want to report a bug, please use the [issue tracker](https://gitlab.mpi-sws.org/iris/stdpp/issues). You will have to create an account at the [MPI-SWS GitLab](https://gitlab.mpi-sws.org/users/sign_in) (use the "Register" tab). To contribute code, please send your MPI-SWS GitLab username to [Ralf Jung](https://gitlab.mpi-sws.org/jung) to enable personal projects for your account. Then you can fork the [Coq-std++ git repository](https://gitlab.mpi-sws.org/iris/stdpp), make your changes in your fork, and create a merge request. ## Common problems On Windows, differences in line endings may cause tests to fail. This can be fixed by setting Git's autocrlf option to true: git config --global core.autocrlf true