Can the name of a running CUDA kernel be obtained its threads?

Suppose some kernel (a __global__ function named foo) is running on a CUDA device. And suppose that kernel calls a __device__ function bar which are sometimes called in other kernels, i.e. the code of bar does not know at compile-time whether the kernel is foo or something else.

Can a thread running foo, within bar, obtain either the name "foo", the signature, or some other identifier of the kernel, preferable a human-readable one?

If necessary, assume the code has been compiled with any of --debug, --device-debug and/or --lineinfo.