Checking conditions [IF ... THEN ... ELSE] performance

[komame]

Generaly each condition has two parts: before the operator and after the operator.

In the case of the OR operator the first part is always checked and if it returns True the second part should be skipped.
In the case of the AND operator the first part is always checked and if it returns False the second part should be skipped.

Code:

local a=1,b=2,c=3,d=4;

IF a==1 OR (b==2 AND c==4 OR d==4)  // the first part is [a==1] and the second part is the [(b==2 AND c==4 OR d==4)]
the first part returns True so all after the OR operator should be skipped.

IF a==2 AND (b==2 AND c==4 OR d==4)  // the first part is [a==2] and the second part is the [(b==2 AND c==4 OR d==4)]
the first part returns False so all after the AND operator should be skipped.

I believe that all programming languages are working that way.