Thank you for your comments, Henry.  With further
reflection (including trials at a J console) I finally
"got it."  Returning attention to the DoWhile J
construct,

f^:proposition^:_ y

the English phrasing of this construct that works for
me is:

f, thus limited, applied to its limit, on y.

The J tautology that got me past my mental block is:

(f^:proposition^:_ y) -: (f^:(+/proposition f^:a: y)
y)

This clarified the relationship between the main verb
(f) and the limit-setter verb (proposition) so the
parenthesized portion of  (f^:proposition)^:_ y  makes
sense.  (Finally!)



--
Tracy B. Harms

     It is the central thesis of this book that the descriptive
     and analytic power of an adequate programming language amply
     repays the considerable effort required for its mastery.
                                Kenneth E. Iverson
                                A Programming Language, 1962


 
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