Syntax tree validation uncertainty

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The validation of a formula can be represented through syntax trees.

  1. ¬ (A, B∧C)

The reason I am confused is because of the comma. I think the formula is valid.

Let us consider.

A= She eats B= She sleeps C= She drinks

¬ (A, B∧C) <=> She doesn't eat. She doesn't sleep and drink.

  1. A¬ (B ∧ C)

I think the formula is Wrong. It could have been correct is a comma would have been involved or another biding operator.

A¬ (B ∧ A) <=> She eats She doesn't sleep and eats.

This would not be able to be represented in a Syntax tree