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Home/ Questions/Q 473381
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Editorial Team
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Editorial Team
Asked: May 13, 20262026-05-13T00:10:52+00:00 2026-05-13T00:10:52+00:00

For one of my beginning CS classes, we are going over truth functional logic.

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For one of my beginning CS classes, we are going over “truth functional logic.”

My question pertains to English translations. Note that ^ is AND; v is (inclusive)OR; ~ is NOT. -> is IF

Well, we had this: “RENT being paid is a necessary condition for staying in BUSINESS”

RENT -> BUSINESS

Whenever we graded everything this was wrong. I asked the teacher why and she said nothing more then that “if there is no then in the sentence, then the antecedent is always last”

I would like some more explanation as to how this is wrong. And how the sentence is not ambiguous. Something more than “there was no then so it’s always this way.”

Also, a side note: Where did the IF boolean operator come from? I’ve never heard of such an operator that is basically equivalent in Cish code to a==true?b:true. I have a very hard time grasping it’s usage.

edit:
The correct answer was

BUSINESS -> RENT
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  1. Editorial Team
    Editorial Team
    2026-05-13T00:10:52+00:00Added an answer on May 13, 2026 at 12:10 am

    If you pay rent, you’re not necessarily in business. Rent !(->) Business.

    However, if you’re in business, you must pay rent. Business -> Rent.

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