Určete, které z následujících výroků jsou tautologií (= vždy pravdivý složený výrok):
\( \large \left( a \land b\right) \Leftrightarrow \left( \neg a \lor \neg b\right) \)
a∧b
¬a∨¬b
(a∧b)⇔(¬a∨¬b)
1
0
0
0
1
0
Unchecked
a∧b
¬a∨¬b
(a∧b)⇔(¬a∨¬b)
0
0
0
1
1
1
Unchecked
a∧b
¬a∨¬b
(a∧b)⇔(¬a∨¬b)
1
1
1
0
0
1
Unchecked
a∧b
¬a∨¬b
(a∧b)⇔(¬a∨¬b)
1
1
1
1
0
0
Unchecked
Hint
Hint
Tautologií se rozumí výroky, které jsou za každé situace pravdivé. V tabulce pravdivostních hodnot u tautologie najdeš jen samé jedničky.
Máš za úkol určit, zda tato ekvivalence konjunkce a disjunkce je tautologií, tedy jestli je vždy pravdivá.
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