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home / study / engineering / computer science / computer science questions and answers / hello, i have a question about discrete mathematics problem. q : the logical function if(p, ...

Question: Hello, I have a question about discrete mathematics problem. Q : The logical function IF(p, a, b)...

Hello, I have a question about discrete mathematics problem.

Q : The logical function IF(p, a, b) acts something like an if-statement in a programming language. It takes three arguments, p, a, and b, each of which may be T or F. It returns either T or F. It is defined by the following identities.

IF(T, a, b)		a
IF(F, a, b)		b

Prove that IF is functionally complete, all by itself.

Please solve the problem in detail. Thanks,

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