Is there a specific term for “conditions treated as though there are OR operators between them”?

Question

I'm writing a program that generates playlists from a large pool of mp3 files. The program can keep track of total playing time, number of tracks and total size of the files, and can be given upper limits on each of the three.

What I want to make clear in the documentation is that even though any combination of the three limits may be specified, the program will quit after any one of them is reached. Effectively, it treats them as though they were specified with the boolean "OR" operator. Is there a programming term to describe this? My uneducated guess would be to use "the conditions are treated disjunctively" i.e. the logical operation of disjunction is performed on them, but I don't know if this is accepted (or, for that matter, existing) terminology.

Answer 1

I would simply write it in plain English, with any: “the program will exit if any of the three conditions is triggered”.

Answer 2

Usually the way this is written is to list the conditions that trigger an event, and add "whichever comes first":

The game ends when all other players go bankrupt, one player reaches $1,000, or the time limit has been reached, whichever comes first.

Answer 3

“Exclusive OR”. (Latin) “aut” (inclusive OR) vs “vel” (exclusive OR). An “inclusive OR” requires all the conditions; an “exclusive OR” requires only one.

Note: a “sufficient condition” is a condition that… is sufficient — that counts — regardless of whether or not any other conditions obtain. (The converse is “necessary condition”; the former is ( a -> b ); the latter is ( -a -> -b).)