Python generator function/object naming convention

I have a few logical processes implemented in the same class. A class instance get a generator for each process, and run() advances said generators. In my case generators don't end.

How would you call foo_function and foo_object in the code below

class C(threading.Thread):
    def foo_function(self):
        """ generator *function*,
            logical process foo """
        while True:
            # some state checks
            if self.some_attr:
                # side-effects here
                pass
            yield

    def __init__(self):
        # generator *object*
        # i.e. process instance
        self.foo_object = self.foo_function()  # <- here

    def run(self):
        while True:
            next(self.foo_object)
            next(self.another_object)
            if xxx:
                next(self.yet_another_object)

Typical processes are discovery, authentication, watchdog, etc.

How can I name function that defines the generator and the attribute that contains generator object in a sensible way?

Finally just for the kicks, same name name would be insane, right?

class C:
    def foo(self):
        yield 1; yield 2
    def __init__(self):
        self.foo = self.foo()

c = C()            
type(C.foo) is function
type(c.foo) is generator

You could make the members containing generators be created automatically from the function's name, using some kind of covention designed by your self. For instance, in my convention all generators will be contained by a member called: <function_name>_gen.

I would call the function name as its responsability: discovery, authentication and watchdog are good names. So you only need a way to automatically set: self.discovery_gen, self.authentication_gen and self.watchdog_gen.

Code sample:

class C:

    def discovery(self):
        yield 1; yield 2

    # Register all the functions for wich you want to have a generator
    # object.
    REGISTERED_GEN_FUNCTIONS = [discovery]

    def __init__(self):

        for func in self.REGISTERED_GEN_FUNCTIONS:
            name = func.__name__
            # All generators objects will be called <function_name>_gen.
            setattr(self, "{0}_gen".format(name), getattr(self, name)())

a = C()
for i in a.discovery_gen:
    print(i)

Ouput

>>> 1
>>> 2