If we define the word "host" to mean a computer on which you are compiling, and "target" as the computer on which you want to run the code, then a native compiler is one where the target and the host are the same (kind). A cross-compiler is a compiler where the target is different from the host.
A toolchain is the set of compiler + linker + librarian + any other tools you need to produce the executable (+ shared libraries, etc) for the target. A debugger and/or IDE may also count as part of a toolchain.
So
Experience with Powerpceabi and AVR toolchains
would be how I'd express it if I had some experience with those.
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