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algorithm - What's the approach to solving this kind of logic problem?

What would be the approach to a kind of problem that sounds like this:

A says B lies

B says C lies

D says B lies

C says B lies

E says A and D lie

How many lie and how many tell the truth? I am not looking for the answer to the problem above, but the approach to this kind of problem. Thanks a lot.

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A -> !B
B -> !C
D -> !B
C -> !B
E -> !A & !D

Reminder:

X -> Y  <=>  !X | Y

Transform the 5 equations into logical propositions, and you will find answers.


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