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Recent questions tagged first-order-logic
1
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3
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61
Discrete Mathematics | Predicate Logic
Which of the following conclusion can be drawn from the following premises $\left ( 1 \right )\sim P\vee Q\rightarrow R$ $\left ( 2 \right )S\vee \sim Q$ $\left ( 3 \right )\sim T$ $\left ( 4 \right )P\rightarrow T$ $\left ( 5 \right )\sim P\wedge R\rightarrow \sim S$ $C1: P$ $C2: \sim Q$ $C3: Q\wedge R$ C1 only C2 only C2 & C3 only C1 & C2 only
Which of the following conclusion can be drawn from the following premises$\left ( 1 \right )\sim P\vee Q\rightarrow R$$\left ( 2 \right )S\vee \sim Q$$\left ( 3 \right )...
Jay Patel 009
473
views
Jay Patel 009
asked
Apr 18, 2023
Mathematical Logic
discrete-mathematics
mathematical-logic
first-order-logic
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0
votes
1
answer
62
How can we write a English statement into First order logic? Q. There are At most 100 cubes.
MohitN
257
views
MohitN
asked
Apr 16, 2023
Unknown Category
discrete-mathematics
first-order-logic
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0
votes
1
answer
63
Discrete Math and its applications by Kenneth Rosen 7th edition Section 6:Counting
Can this question be explained in detail as i have trouble understanding it? "How many 4-permutations of the positive integers not exceeding 100 contain three consecutive integers k, k + 1, k + 2, in the ... the solution manual says we have to account for double counting but I don't understand how? Why 97?
Can this question be explained in detail as i have trouble understanding it? "How many 4-permutations of the positive integers not exceeding 100 contain three consecutive...
discretemather1
469
views
discretemather1
asked
Apr 2, 2023
Compiler Design
discrete-mathematics
combinatory
inclusion-exclusion
mathematical-logic
first-order-logic
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–
0
votes
1
answer
64
Discrete-mathematics | Mathematical-logic
Which of the following predicate is/are valid? S1: $\forall x(A(x)\Leftrightarrow B(x))\Rightarrow \exists x(A(x)\Rightarrow B(x))$ S2: $\exists x(A(x)\vee B(x))\Leftrightarrow (\exists xA(x)\vee\exists xB(x))$ A. only S1 B. only S2 C. Both D. None
Which of the following predicate is/are valid? S1: $\forall x(A(x)\Leftrightarrow B(x))\Rightarrow \exists x(A(x)\Rightarrow B(x))$ S2: $\exists x(A(x)\vee B(x))\Le...
Jay Patel 009
353
views
Jay Patel 009
asked
Mar 31, 2023
Mathematical Logic
discrete-mathematics
mathematical-logic
first-order-logic
virtual-gate-test-series
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1
votes
0
answers
65
GO Classes 2023 | IIITH Mock Test 1 | Question: 41
Consider the following predicates. $\text{Rabbit}(x) = x$ is a rabbit. $\text{Cute}(x) = x$ is cute. Consider the following statement $\text{E},$ where the domain of every variable is set of all animals in a jungle $\text{J}.$ ... animal in $\text{J}$ who is not a rabbit but is cute. There is some rabbit who is cute in jungle $\text{J}.$
Consider the following predicates.$\text{Rabbit}(x) = x$ is a rabbit.$\text{Cute}(x) = x$ is cute.Consider the following statement $\text{E},$ where the domain of every v...
GO Classes
403
views
GO Classes
asked
Mar 26, 2023
Mathematical Logic
goclasses2023-iiith-mock-1
goclasses
mathematical-logic
first-order-logic
multiple-selects
1-mark
+
–
23
votes
5
answers
66
GATE CSE 2023 | Question: 16
Geetha has a conjecture about integers, which is of the form \[ \forall x(P(x) \Longrightarrow \exists y Q(x, y)), \] where $P$ is a statement about integers, and $Q$ is a statement about pairs of integers. Which of the following (one or more) option(s) would imply ... $\exists y \forall x(P(x) \Longrightarrow Q(x, y))$ $\exists x(P(x) \wedge \exists y Q(x, y))$
Geetha has a conjecture about integers, which is of the form\[\forall x(P(x) \Longrightarrow \exists y Q(x, y)),\]where $P$ is a statement about integers, and $Q$ is a st...
admin
11.0k
views
admin
asked
Feb 15, 2023
Mathematical Logic
gatecse-2023
mathematical-logic
first-order-logic
multiple-selects
1-mark
+
–
0
votes
0
answers
67
LECTURES IN DISCRETE MATHEMATICS Edward A. Bender and S. Gill Williamson
Consider the statement form p ⇒ q where p = If Tom is Jane's father then Jane is Bill's niece and q = Bill is Tom's brother. Which of the following statements is equivalent to this statement? (a) If Bill is Tom's Brother, ... 's niece. (e) If Bill is not Tom's Brother, then Tom is not Jane's father and Jane is Bill's niece.
Consider the statement form p ⇒ q where p =“If Tom is Jane’s father then Jane isBill’s niece” and q =“Bill is Tom’s brother.” Which of the following state...
dishendra
239
views
dishendra
asked
Jan 20, 2023
Others
first-order-logic
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–
2
votes
1
answer
68
GO 2023 Topic Wise Free Test 2 | First Order Logic | Question: 1
In first-order logic, how would you express that "something likes something"? $\exists x \exists y \operatorname{Likes}(x, y)$ $\exists x \forall y \operatorname{Likes}(x, \mathrm{y})$ $\forall x \exists y \text{Likes}(x, y)$ $\forall x \forall y \operatorname{Likes}(x, \mathrm{y})$
In first-order logic, how would you express that "something likes something"?$\exists x \exists y \operatorname{Likes}(x, y)$$\exists x \forall y \operatorname{Likes}(x, ...
GO Classes
126
views
GO Classes
asked
Dec 13, 2022
Mathematical Logic
goclasses2024-topictest-2
goclasses
mathematical-logic
first-order-logic
1-mark
+
–
3
votes
1
answer
69
GO 2023 Topic Wise Free Test 2 | First Order Logic | Question: 2
Which of the following propositional formulas is a tautology? $p \rightarrow(q \rightarrow p).$ $p.$ $p \vee p.$ $(p \rightarrow q) \wedge(q \rightarrow p).$
Which of the following propositional formulas is a tautology?$p \rightarrow(q \rightarrow p).$$p.$$p \vee p.$$(p \rightarrow q) \wedge(q \rightarrow p).$
GO Classes
104
views
GO Classes
asked
Dec 13, 2022
Mathematical Logic
goclasses2024-topictest-2
goclasses
mathematical-logic
first-order-logic
1-mark
+
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