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The array update problem in a purely functional language is the following: oncean array is updated, both the original array and the newly updated one mustbe preserved to maintain referential transparency. We devise a very simple, fullypersistent data structure to tackle this problem such thatffl each incremental update costs O(1) worst--case time,ffl a voluminous sequence of r reads cost in total O(r) amortized time, andffl the data structure use O(n + u) space,where n is the size ...

Fully persistent arrays for efficient incremental updates and voluminous reads