Which of the following statements is true? (1) The sentence S is a logical consequence of S1,..., Sn if and only if S1˄S2˄........˄Sn→S is satisfiable. (2) The sentence S is a logical consequence of S1,..., Sn if and only if S1˄S2˄........˄Sn→S is valid. (3) The sentence S is a logical consequence of S1,..., Sn if and only if S1˄S2˄........˄Sn˄¬S is consistent. (4) The sentence S is a logical consequence of S1,..., Sn if and only if S1˄S2˄........˄Sn˄S is inconsistent.

Which of the following statements is true?

(1) The sentence S is a logical consequence of S1,..., Sn if and only if

S1˄S2˄........˄Sn→S is satisfiable.

(2) The sentence S is a logical consequence of S1,..., Sn if and only if

S1˄S2˄........˄Sn→S is valid.

(3) The sentence S is a logical consequence of S1,..., Sn if and only if

S1˄S2˄........˄Sn˄¬S is consistent.

(4) The sentence S is a logical consequence of S1,..., Sn if and only if

S1˄S2˄........˄Sn˄S is inconsistent.
by

1 Answer

Answer :

The sentence S is a logical consequence of S1,..., Sn if and only if S1˄S2˄........˄Sn→S is valid.
by

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