No language will tell you at compile time whether an arbitrary list filter operation will have an effect or not. If it can, it's because the list filter isn't arbitrary, it's probably always a no-op.

The generalisation is that you have some type parent with a way to select a type child, plus a function that modifies a child, you want to lift your child -> child function to a parent -> parent function.

Optics help a lot with this class of problem.

Because you're in the world of persistent data structures, and you're doing a modify operation, there is no avoiding the 'modify hashtable' part of 'modify an element within a hashtable'. You always create a 'new' hashtable.

If it's common that your update operation has no effect it may be worth switching to a function like child -> Modified child for Modified a = NoOp | Mutated a, so the hashtable modify function can determine if it can skip its own update. A list filter is a trivial thing to write, and one that can return NoOp if no elements are filtered is no less efficient.

I see what you mean now.

I think most persistent data structures would (for most common operations) return exactly themselves in case when no modification happened. So you can very cheaply compare for equality, and that would either resolve to simple one-op comparison of references (to see if they are equal or not), or, in the worst case, comparison of some minor amount of diverging sub-elements (since persistent data structures do extensive structural sharing by definition).

In this sense, linked list is a “bad” persistent collection for your use case, but a persistent set instead would work wonderfully — if nothing changed, you’d get the same reference to a collection as input.

I am pretty sure it either would work this way, or is very easy to optimize for this use case, in Clojure.

Isn't the idea of persistent data structures, that they may be more expensive than their imperative versions, but try to reduce the expense to a minimum? So by using a persistent data structure, one should already have taken that potential additional expense into consideration. The wasteful solution should not be that much more wasteful, if we assume, that there is an OK-performing persistent data structure for the use-case. Otherwise I guess one should not choose a persistent data structure. But then you run into problems, when you want to make use of multiple cores to throw at the problem.

In FP I think composability and interchangeability of these higher order functions help, in case the supplied filter did not work like you want: You could write your own filter function variant that guarantees to return the same list if the predicate function returned true for each element.

You can pretty efficiently do this in Clojure

    (update-in
     {:foo [{:bar ["a"], :baz ["b" "c" "d"]}]}
     [:foo 0 :baz 1]
     clojure.string/capitalize)
    
    
    ;; => {:foo [{:bar ["a"], :baz ["b" "C" "d"]}]}