布尔蕴涵 [英] Boolean Implication

问题描述

我需要有关布尔含义的一些帮助.

I need some help with this Boolean Implication.

有人可以用简单的术语解释它的工作原理吗?

Can someone explain how this works in simple terms:

A表示B = B + A'(如果A则B).也等同于A >= B

A implies B = B + A' (if A then B). Also equivalent to A >= B

推荐答案

布尔值表示A implies B的简单含义是如果A为true，则B必须为true".这暗示(双关语意)如果A不是真的，那么B可以是任何东西.因此:

Boolean implication A implies B simply means "if A is true, then B must be true". This implies (pun intended) that if A isn't true, then B can be anything. Thus:

False implies False -> True
False implies True  -> True
True  implies False -> False
True  implies True  -> True

这也可以读作(not A) or B-即"A为假，或者B必须为真".

This can also be read as (not A) or B - i.e. "either A is false, or B must be true".

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