For example:
if(pos == -1 || character_array[pos] == 0) {
}
If pos is -1, can I count on this NEVER crashing?
Same goes with AND statements in which the first conditional fails.
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Yes, you can count on this. The relevant parts of the C standard are 6.5.13:
and 6.5.14:
For example, the following is idiomatic C: