How to verify equivalence of two node trees ?

Assume we have two node trees with the root nodes $aroot and $broot:

<xsl:variable name="aroot" select="...." />
<xsl:variable name="broot" select="...." />

How can I test the equivalence of the two node trees ?
More precisely there are should be three kinds of tests:

1.) Testing if tree a is equal to tree b only looking at the elements
but ignoring possible existing attributes and their values

2.) Testing if tree a is equal to tree b regarding the elements and their
attributes but ignoring the values of the attributes

3.) Finally testing if tree a is equal to tree b regarding elements,
their attribute (names) and the attribbute values.

How can I implement such a test in XSLT?
Is there possibly a smarter solution in XSLT 2.0 ?

Matt
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