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I understand the confusion: it is more about "syntax associativity"

(tiny C) compiler --> "This is a compiler for the Tiny-C language"

vs

Tiny (C compiler) --> "TinyCC [...] is a small but hyper fast C compiler"

That's it! ;-)

Now obviously the next step is to make a tiny tiny c compiler compiler.

One could say that the one from this submission is Tiny-C Compiler and Bellard's is Tiny C-Compiler.

This is a compiler for a language called Tiny-C.