We are pleased to release a *beta* version of Coq 8.2 which brings Haskell-style type classes, various evolutions of the arithmetic libraries, and many other various improvements and extensions regarding the module system, tactics, syntax, etc. The support for Haskell-style type classes has been contributed by M. Sozeau and is documented in chapter 18 of the reference manual. The evolutions of the arithmetic libraries cover the following points: - use of native arithmetic in the bytecode-based fast evaluator of Coq (A. Spiwack), - new library on efficient 31-bits integer and word-based unbounded integers (L. Théry, B. Grégoire, A. Spiwack, P. Letouzey), - new library on axiomatic natural, cyclic and unbounded integer numbers (E. Makarov), - new framework "micromega" for solving systems of inequalities in Z, Q, R, possibly relying on external tool for non linear systems (F. Besson). The module system has been extended with the include feature, sharing of common submodules, functorial signature application and on-demand parameter inlining (E. Soubiran). At the level of tactics, Coq 8.2 offers a more efficient implementation of setoid rewrite, new support for constant unfolding in apply, new dependent induction, induction/destruct with "in" clause and "e" variants, support for iteration and "at" clause in rewrite, new variants of introduction patterns, support for implicit contents and coercions in the "with" clauses, use of type informations in unification (P. Letouzey, M. Sozeau, S. Glondu, E. Makarov, H. Herbelin). Coq 8.2 also offers miscellaneous syntax extensions and improved features: destructing let, better type inference, inference of matching return clause, detection of impossible clause in dependent pattern-matching, detection of decreasing argument in fixpoints, improved Program and Function features, new ways to work with implicit arguments, and various other auxiliary features (M. Sozeau, P. Letouzey, H. Herbelin). It also provides automatic generation of decidable equality (V. Siles). Finally, Coq comes with a new stand-alone checker for cross-certification of vo-files (B. Barras). For all other changes, see the attached file CHANGES. The major sources of incompatibilities comes from the support of constant unfolding in apply and from the new implementation of setoid rewrite. A secondary source comes from some bug fixes and from changes in specific libraries. See http://coq.inria.fr/COMPATIBILITY for details and smooth migration recommendations. We are interested in feedback on the upgrading problems that may be encountered. The documentation is available at http://coq.inria.fr/V8.2beta/doc/refman. For the list of known bugs or to submit a new one, see page Contacts at http://coq.inria.fr. General questions or remarks can be sent to Coq-Club@pauillac.inria.fr. See also http://coq.inria.fr. Here follows a list of user contributions submitted since the release of Coq 8.1 (see the Coq web site for download): The Coq development team