Word for logical AND-or-OR-ness property

Question

Suppose I have a set of criteria used in digital searches (such as "year is earlier than 1900", "name begins with S"). The user can choose whether to search for records matching ALL of their criteria, or ANY (at least one) of their criteria.

What noun describes the property that the user is choosing: the "AND-or-OR-ness" of the search? (Other logical operations could also be available in theory, like exclusive-OR.) I'm thinking there might be a technical term along the lines of "distributivity", though that's not the one.

Sample sentence: "The user's search didn't return any results because she picked the wrong ____: there are people beginning with S and birthdates before 1900, but not both."

Dan Cron · Answer

If your audience is technical, you can call one of them a logical operator.

https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Operators/Logical_Operators

George White · Answer

In English usage they are conjunctions that connect words or phrases.

What are examples of conjunctions?
Conjunction is a word that joins words, phrases, clauses or sentence. e.g. but, and, yet, or, because, nor, although, since, unless, while, where etc. Examples: She bought a shirt and a book.

Word for logical AND-or-OR-ness property

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