The BWT seems rather mysterious until one recognizes it as a specific kind of 
permutation that not only yields longer run lengths of symbols but happens to 
have a short algorithm when compared to all permutations that yield longer run 
lengths.  But then one realizes that is *precisely* the mystery here:

Out of all the possible permutations that yield long run lengths how does one 
hunt down those that have short algorithms?

Is there a higher level language -- the language of permutations -- in which 
one can describe them?  I mean here to say not just the permutation sublanguage 
of rotations but all such sublanguages. Has the space of programs written in 
this language been explored in any principled way for superior superior 
alternative to BWT?
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Artificial General Intelligence List: AGI
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