Why are there no XSLT processors implemented in XSLT?

Hi Folks,

I will take the following as an axiom:

      Programs written to process XML should be implemented in XSLT.

An XSLT processor is a program that processes XML.

Therefore an XSLT processor should be implemented in XSLT.  (As an analogy,
many C compilers are implemented in C.)

However, there are no XSLT processors implemented in XSLT.

Instead, XSLT processors are implemented in languages such as Java.

The implication of this state of affairs is this: "For real, manly XML
processing don't use XSLT; instead, use Java."

Why are there no XSLT processors implemented in XSLT?

/Roger