Hypothesis does its level best to be compatible with everything you could possibly need it to be compatible with. Generally you should just try it and expect it to work. If it doesn't, you can be surprised and check this document for the details.
Hypothesis is supported and tested on python 2.7 and python 3.3+. Python 3.0 through 3.2 are unsupported and definitely don't work. It's not infeasible to make them work but would need a very good reason.
Python 2.6 is supported on a "best effort" basis. It is supported in the 1.7.x versions of Hypothesis and will most likely continue being supported through all of the 1.x versions, however I'm not committing to that.
Hypothesis also supports PyPy (PyPy3 does not work because it only runs 3.2 compatible code, but if and when there's a 3.3 compatible version it will be supported), and should support 32-bit and narrow builds, though this is currently only tested on Windows.
Hypothesis does not currently work on Jython (it requires sqlite), though could feasibly be made to do so. IronPython might work but hasn't been tested.
In theory Hypothesis should work anywhere that Python does. In practice it is only known to work and regularly tested on OS X, Windows and Linux, and you may experience issues running it elsewhere. For example a known issue is that FreeBSD splits out the python-sqlite package from the main python package, and you will need to install that in order for it to work.
If you're using something else and it doesn't work, do get in touch and I'll try to help, but unless you can come up with a way for me to run a CI server on that operating system it probably won't stay fixed due to the inevitable march of time.
In general Hypothesis goes to quite a lot of effort to generate things that look like normal Python test functions that behave as closely to the originals as possible, so it should work sensibly out of the box with every test framework.
If your testing relies on doing something other than calling a function and seeing if it raises an exception then it probably won't work out of the box. In particular things like tests which return generators and expect you to do something with them (e.g. nose's yield based tests) will not work. Use a decorator or similar to wrap the test to take this form.
In terms of what's actually known to work:
- Hypothesis integrates as smoothly with py.test and unittest as I can make it, and this is verified as part of the CI.
- py.test fixtures work correctly with Hypothesis based functions, but note that function based fixtures will only run once for the whole function, not once per example.
- Nose has been tried at least once and works fine, and I'm aware of people who use Hypothesis with Nose, but this isn't tested as part of the CI. yield based tests simply won't work.
- Integration with Django's testing requires use of the :ref:`hypothesis-django` package. The issue is that in Django's tests' normal mode of execution it will reset the database one per test rather than once per example, which is not what you want.
Coverage works out of the box with Hypothesis (and Hypothesis has 100% branch coverage in its own tests). However you should probably not use Coverage, Hypothesis and PyPy together. Because Hypothesis does quite a lot of CPU heavy work compared to normal tests, it really exacerbates the performance problems the two normally have working together.
The Hypothesis Django integration is supported on 1.7 and 1.8. It will probably not work on versions prior to that.
Everything mentioned above as explicitly supported is checked on every commit with Travis and Appveyor and goes green before a release happens, so when I say they're supported I really mean it.