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Search results for gate1992+mathematical-logic
78
votes
6
answers
1
GATE CSE 1992 | Question: 92,xv
Which of the following predicate calculus statements is/are valid? $(\forall (x)) P(x) \vee (\forall(x))Q(x) \implies (\forall (x)) (P(x) \vee Q(x))$ $(\exists (x)) P(x) \wedge (\exists (x))Q(x) \implies (\exists (x)) (P(x) \wedge Q(x))$ ... $(\exists (x)) (P(x) \vee Q(x)) \implies \sim (\forall (x)) P(x) \vee (\exists (x)) Q(x)$
Which of the following predicate calculus statements is/are valid?$(\forall (x)) P(x) \vee (\forall(x))Q(x) \implies (\forall (x)) (P(x) \vee Q(x))$$(\exists (x)) P(x) \w...
Arjun
16.6k
views
Arjun
asked
Sep 2, 2014
Mathematical Logic
gate1992
mathematical-logic
normal
first-order-logic
+
–
24
votes
4
answers
2
GATE CSE 1992 | Question: 02,xvi
Which of the following is/are a tautology? $a \vee b \to b \wedge c$ $a \wedge b \to b \vee c$ $a \vee b \to \left(b \to c \right)$ $a \to b \to \left(b \to c \right)$
Which of the following is/are a tautology?$a \vee b \to b \wedge c$$a \wedge b \to b \vee c$$a \vee b \to \left(b \to c \right)$$a \to b \to \left(b \to c \right)$
Kathleen
10.9k
views
Kathleen
asked
Sep 13, 2014
Mathematical Logic
gate1992
mathematical-logic
easy
propositional-logic
multiple-selects
+
–
13
votes
1
answer
3
GATE CSE 1992 | Question: 15.a
Use Modus ponens $(A, A → B |= B)$ or resolution to show that the following set is inconsistent: $Q(x) \rightarrow P (x) \vee \sim R (a)$ $R (a) \vee \sim Q(a)$ $Q(a)$ $\sim P (y)$ where $x$ and $y$ are universally quantified variables, $a$ is a constant and $P, Q, R$ are monadic predicates.
Use Modus ponens $(A, A → B |= B)$ or resolution to show that the following set is inconsistent:$Q(x) \rightarrow P (x) \vee \sim R (a)$$R (a) \vee \sim Q(a)$$Q(a)$$\si...
Kathleen
3.4k
views
Kathleen
asked
Sep 13, 2014
Mathematical Logic
gate1992
normal
mathematical-logic
propositional-logic
descriptive
+
–
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