zipper_algebra: Add XOR#42
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This change introduces an n-way XOR operation implemented on top of the
existing ordered zipper traversal framework.
The implementation treats tries as sparse path→value mappings, with missing
paths interpreted as the lattice bottom element. XOR is therefore computed
pointwise on values rather than on path presence:
A deliberate design choice is that traversal follows join semantics: a child
edge is explored whenever it is present in at least one input. Although XOR is
often described in terms of parity, cancelling values at a path does not imply
that all descendants cancel as well. Stopping traversal based solely on path
parity would therefore miss surviving values in deeper subtries.
As a result, XOR shares the same traversal skeleton as join and differs only in
the algebra used to combine coincident values.