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How can a language implementation in one language be faster than a language?

If I create a JVM in Java, for example, can the implementation that I made be actually faster than the original implementation that I used to create this implementation, although my implementation is built on top of the original implementation and may even depend on this implementation?

(Confusing ...)

Take a look at PyPy . This is a JIT compiler for Python created in Python. That's fine, but how can he claim to be faster than the original Python implementation that he uses, and depends on?

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You are confused between a language and a runtime device for that language.

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The pypy translation process is done in CPython, but the output is a list of .c files (19 files the last time I checked), which are then compiled into a binary file: pypy-c. At run time, pypy-c has nothing to do with CPython, so it can be faster.

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