Question:
$A$, $B$, $C$ představují výroky a $p(A)$, $p(B)$, $p(C)$ jsou jejich pravdivostní hodnoty. Označte výroky, které nejsou pravdivé (tj., mají pravdivostní hodnotu $0$) pro dané pravdivostní hodnoty výroků $A$, $B$, a $C$.
Project ID:
7400220171
Answer 1:
$$
\begin{gather}
p(A)=1,~p(B)=0, \cr
\neg A \Rightarrow B
\end{gather}
$$
Answer 1 Correct:
0
Answer 2:
$$
\begin{gather}
p(A)=0,~p(B)=1, \cr
\neg A \Rightarrow \neg B
\end{gather}
$$
Answer 2 Correct:
1
Answer 3:
$$
\begin{gather}
p(A)=1,~p(B)=0,~p(C)=1, \cr
(A \Leftrightarrow C) \vee B
\end{gather}
$$
Answer 3 Correct:
0
Answer 4:
$$
\begin{gather}
p(A)=0,~p(B)=0,~p(C)=0, \cr
(\neg A \wedge \neg B) \Rightarrow C
\end{gather}
$$
Answer 4 Correct:
1
Answer 5:
$$
\begin{gather}
p(A)=1,~p(B)=1, \cr
\neg A \Leftrightarrow B
\end{gather}
$$
Answer 5 Correct:
1
Answer 6:
$$
\begin{gather}
p(A)=1,~p(B)=1,~p(C)=1, \cr
(\neg A \wedge C) \Leftrightarrow B
\end{gather}
$$
Answer 6 Correct:
1
Answer 7:
$$
\begin{gather}
p(A)=1,~p(B)=0,~p(C)=0, \cr
( A \vee C) \wedge B
\end{gather}
$$
Answer 7 Correct:
1
Answer 8:
$$ \begin{gather} p(A)=0,~p(B)=1,~p(C)=1, \cr ( A \vee B) \vee (A \vee C) \end{gather} $$
Answer 8 Correct:
0