Boolean constant FALSE
MuPAD® uses a three state logic with the Boolean constants TRUE, FALSE, and UNKNOWN.
The Boolean constants TRUE, FALSE, UNKNOWN are of domain type DOM_BOOL.
See and, or, not for the logical rules of the MuPAD three state logic.
(TRUE and (not FALSE)) or UNKNOWN
The function bool serves for reducing Boolean expressions such as equations or inequalities to one of the Boolean constants:
bool(x = x and 2 < 3 and 3 <> 4 or UNKNOWN)
assume(x > 2): is(x^2 > 4), is(x^3 < 0), is(x^4 > 17)
Boolean constants occur in the conditional part of program control structures such as if, repeat, or while statements. The following loop searches for the smallest Mersenne prime larger than 500 (see numlib::mersenne for details). The function isprime returns TRUE if its argument is a prime, and FALSE otherwise. Once a Mersenne prime is found, the while-loop is interrupted by the break statement:
p := 500: while TRUE do p := nextprime(p + 1): if isprime(2^p - 1) then print(p); break; end_if; end_while:
if UNKNOWN then "true" else "false" end_if
Error: Cannot evaluate to Boolean. [if]