what is the expression symbol of this following propositional logic ?
- Big peoples eat much except i am hungry.
i've read that A except B is usually translated to A V B and sometimes to A → ¬B and still can not figured out how to translate the propositional above.
$\endgroup$2 Answers
$\begingroup$"except" just means ^ (AND), with a connotation in the English language that the following statement will somehow be contrary to the preceding statement (connotations do not exist in logic).
So given A = "A person is big", B = "A person eats much", C = "I am hungry", then the sentence would be (A → B)^C.
HINT: Each of the following are equivalent:
$A$ is true except if $B$ is true
$[B\implies \neg A]\land [\neg B \implies A]$
$A\iff \neg B$
$A\veebar B\space\space$(Exclusive OR)
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