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Will the add() method of the LockFreeSkipList work even if the bottom level is linked and then all other levels are linked in some arbitrary

Will the add() method of the LockFreeSkipList work even if the bottom level is linked and then all other levels are linked in some arbitrary order? Is the same true for the marking of the next references in the remove() method: the bottom level next reference is marked last, but references at all other levels are marked in an arbitrary order?

Exercise 170 in chapter 14 of The Art Of Multiprocessor Programming by Shavit

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