Wrong question. You're not asking whether the variable is defined. If the variable is not defined then compilation fails. Look up the difference between "declaration" and "definition". In the case of those local variables, you have defined the variable c.
What you're looking for is initialisation. Many compilers will warn you about using variables before they're initialised, but if you persist in running that code then the assumption is that you know better than the compiler. And at that point it's your problem. :) Some languages (e.g. Perl) have an extra flag that travels along with a variable to say whether it's been initialised or not, and they hide from you that there's this extra flag hanging around which you may or may not need. If you want this in C, you need to code it yourself.
Since C++ allows operator overloading, it's relatively easily to implement this in C++. Boost provides an "optional" template which does it, or you could roll your own if you want a coding exercise. C doesn't have the concept of operator overloading though (hell, the concept didn't really exist, and the compilers of the day probably couldn't have supported it anyway) so you get what you get.
Perl is a special case because it rolls the two together, but C doesn't. It's entirely possible in C to have variables which are defined but not initialised. Indeed there are a lot of cases where we want that to be the case, particularly when you start doing low-level access to memory for drivers and stuff like that.