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Recent questions tagged first-order-logic
2
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91
GO 2023 Topic Wise Free Test 2 | First Order Logic | Question: 4
Consider the following predicates: $\operatorname{bird}(x): x$ is a bird. $\text{penguin} (x): x$ is a penguin. $\text{fly} (x) : x$ ... $\neg$ penguin(Tweety) Tweety is a penguin or not, can not be determined. fly(Tweety)
Consider the following predicates:$\operatorname{bird}(x): x$ is a bird.$\text{penguin} (x): x$ is a penguin.$\text{fly} (x) : x$ can fly.Consider the following predicate...
GO Classes
159
views
GO Classes
asked
Dec 13, 2022
Mathematical Logic
goclasses2024-topictest-2
goclasses
mathematical-logic
first-order-logic
1-mark
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3
votes
1
answer
92
GO 2023 Topic Wise Free Test 2 | First Order Logic | Question: 5
Which of the following is a valid inference of $\mathrm{X, Y}$ ... $\forall x .(\mathrm{Q}(x) \rightarrow \mathrm{R}(x))$
Which of the following is a valid inference of $\mathrm{X, Y}$ in first-order logic?$$\begin{aligned}& \text{X}: \forall x .(\mathrm{P}(x) \rightarrow \mathrm{Q}(x)) \\& ...
GO Classes
123
views
GO Classes
asked
Dec 13, 2022
Mathematical Logic
goclasses2024-topictest-2
goclasses
mathematical-logic
first-order-logic
multiple-selects
1-mark
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2
votes
0
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93
GO 2023 Topic Wise Free Test 2 | First Order Logic | Question: 7
Consider the following argument with premise $\forall _x (\text{P}(x) \vee \text{Q}(x))$ and conclusion $(\forall _x \text{P}(x)) \wedge (\forall _x \text{Q}(x))$ ... inferences Steps $\text{(D)}$ and $\text{(F)}$ are not correct inferences Step $\text{(G)}$ is not a correct inference
Consider the following argument with premise $\forall _x (\text{P}(x) \vee \text{Q}(x))$ and conclusion $(\forall _x \text{P}(x)) \wedge (\forall _x \text{Q}(x))$$$\begin...
GO Classes
126
views
GO Classes
asked
Dec 13, 2022
Mathematical Logic
goclasses2024-topictest-2
mathematical-logic
first-order-logic
2-marks
+
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2
votes
0
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94
GO 2023 Topic Wise Free Test 2 | First Order Logic | Question: 8
Which of the following is NOT necessarily true? { Notation: The symbol ''$\neg$''notes negation; $\text{P} (x, y)$ means that for given $x$ and $y$, the property $\text{P}(x, y)$ ... $(\forall x\exists y \text{P}(x, y)) \Rightarrow (\exists y\forall x \text{P}(x, y))$
Which of the following is NOT necessarily true? { Notation: The symbol ''$\neg$''notes negation; $\text{P} (x, y)$ means that for given $x$ and $y$, the property $\text{P...
GO Classes
136
views
GO Classes
asked
Dec 13, 2022
Mathematical Logic
goclasses2024-topictest-2
mathematical-logic
first-order-logic
multiple-selects
2-marks
+
–
2
votes
0
answers
95
GO 2023 Topic Wise Free Test 2 | First Order Logic | Question: 9
For a person $p$, let $w(p)$, $A(p, y)$, $L(p)$ and $J(p)$ denote that $p$ is a woman, $p$ admires $y$, $p$ is a lawyer and $p$ is a judge respectively. Which of the following is the correct translation in ...
For a person $p$, let $w(p)$, $A(p, y)$, $L(p)$ and $J(p)$ denote that $p$ is a woman, $p$ admires $y$, $p$ is a lawyer and $p$ is a judge respectively. Which of the foll...
GO Classes
147
views
GO Classes
asked
Dec 13, 2022
Mathematical Logic
goclasses2024-topictest-2
mathematical-logic
first-order-logic
2-marks
+
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1
votes
0
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96
GO 2023 Topic Wise Free Test 2 | First Order Logic | Question: 10
If $Mr.M$ is guilty, then no witness is lying unless he is afraid. There is a witness who is afraid. Which of the following statements is true? (Hint: Formulate the problem using the following predicates $G - Mr.M$ is ... is not guilty. From these facts one cannot conclude that $Mr.M$ is guilty. There is a witness who is lying.
If $Mr.M$ is guilty, then no witness is lying unless he is afraid. There is a witness who is afraid. Which of the following statements is true?(Hint: Formulate the proble...
GO Classes
136
views
GO Classes
asked
Dec 13, 2022
Mathematical Logic
goclasses2024-topictest-2
mathematical-logic
first-order-logic
2-marks
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1
votes
0
answers
97
GO 2023 Topic Wise Free Test 2 | First Order Logic | Question: 11
Given that $B(x)$ means "$x$ is a bat", $F(x)$ means "$x$ is a fly", and $E(x, y)$ means "$x$ eats $y$", what is the best English translation of $ \forall x(F(x) \rightarrow \forall y (E(y, x) \rightarrow B(y)))?$ all flies eat bats bats eat only flies every bat eats flies only bats eat flies
Given that$B(x)$ means "$x$ is a bat",$F(x)$ means "$x$ is a fly", and$E(x, y)$ means "$x$ eats $y$",what is the best English translation of $$ \forall x(F(x) \rightarrow...
GO Classes
112
views
GO Classes
asked
Dec 13, 2022
Mathematical Logic
goclasses2024-topictest-2
mathematical-logic
first-order-logic
2-marks
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2
votes
0
answers
98
GO 2023 Topic Wise Free Test 2 | First Order Logic | Question: 12
Let $\varphi$ be a propositional formula on a set of variables $A$ and $\psi$ be a propositional formula on a set of variables $B$ , such that $\varphi$ $\Rightarrow$ $\psi$ . A $\textit{Craig interpolant}$ of $\varphi$ and $\psi$ is ... interpolant for $\varphi$ and $\psi?$ $\varphi$ itself $q \vee s$ $q \vee r$ $\neg q \wedge s$
Let $\varphi$ be a propositional formula on a set of variables $A$ and $\psi$ be a propositional formula on a set of variables $B$ , such that $\varphi$ $\Rightarrow$...
GO Classes
125
views
GO Classes
asked
Dec 13, 2022
Mathematical Logic
goclasses2024-topictest-2
mathematical-logic
first-order-logic
2-marks
+
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4
votes
2
answers
99
GO 2023 Topic Wise Free Test 2 | First Order Logic | Question: 13
Which of the following formulas does not express that there is exactly one element of $\text{D}$ that has property $\text{P}(x)?$ $\exists x \in \text{D} \forall y \in \text{D}[\text{P}(y) \leftrightarrow y=x]$ ... $\exists x \in \text{D} \forall y \in \text{D}[\text{P}(y) \rightarrow y=x]$
Which of the following formulas does not express that there is exactly one element of $\text{D}$ that has property $\text{P}(x)?$$\exists x \in \text{D} \forall y \in \te...
GO Classes
157
views
GO Classes
asked
Dec 13, 2022
Mathematical Logic
goclasses2024-topictest-2
goclasses
mathematical-logic
first-order-logic
multiple-selects
2-marks
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1
votes
1
answer
100
First Order Logic: Gate@Zeal Test series
Shoto
715
views
Shoto
asked
Dec 12, 2022
Mathematical Logic
zeal
mathematical-logic
first-order-logic
discrete-mathematics
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2
votes
1
answer
101
GO 2023 Topic Wise Free Test 1 | Question: 8
Consider the following Venn diagram: Which one of the following propositions can be used in order to express that the dark gray area on the left of the diagram does not contain any elements? Some Greeks are not mortal. Some Greeks are mortal. All Greeks are mortal. Some non Greeks are non mortal.
Consider the following Venn diagram:Which one of the following propositions can be used in order to express that the dark gray area on the left of the diagram does not co...
GO Classes
170
views
GO Classes
asked
Dec 5, 2022
Mathematical Logic
goclasses2024-topictest-1
goclasses
mathematical-logic
first-order-logic
1-mark
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2
votes
1
answer
102
GO 2023 Topic Wise Free Test 1 | Question: 9
Consider the following Venn diagram: Which one of the following categorical propositions can be used in order to express that the dark grey area in the center of the diagram does not contain any elements? Some Greeks are not cats. Some non Greeks are non cats. All Greeks are cats. No Greeks are cats.
Consider the following Venn diagram:Which one of the following categorical propositions can be used in order to express that the dark grey area in the center of the diagr...
GO Classes
185
views
GO Classes
asked
Dec 5, 2022
Mathematical Logic
goclasses2024-topictest-1
goclasses
mathematical-logic
first-order-logic
1-mark
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0
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103
problem from Kenneth Rosen's Discrete Mathematics and its Applications, Section 1.5 - 1.7
Please solve the question. Question: Express each of these system specifications using predicates, quantifiers, and logical connectives. a. Any user with a Gmail account can access services from any Google products. b. ... power failure. d. There is a node whose adjacent nodes are not connected to each other.
Please solve the question. Question: Express each of these system specifications using predicates, quantifiers, and logicalconnectives.a. Any user with a Gmail account ca...
Akif
605
views
Akif
asked
Nov 27, 2022
Unknown Category
discrete-mathematics
mathematical-logic
first-order-logic
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3
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3
answers
104
GATE 2008 | Question 21
I have been trying to solve the question GATE CSE 2008 Question. Are the following two representations logically equivalent ? $\beta \rightarrow (\exists x, \alpha (x))$ $\exists x, \beta \rightarrow \alpha (x)$
I have been trying to solve the question GATE CSE 2008 Question.Are the following two representations logically equivalent ?$\beta \rightarrow (\exists x, \alpha (x))$$\e...
ParthPratim
969
views
ParthPratim
asked
Nov 3, 2022
Mathematical Logic
gatecse-2008
mathematical-logic
first-order-logic
normal
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0
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2
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105
Let 𝐼(𝑥)be the statement “𝑥has an Internet connection” and 𝐶(𝑥,𝑦)be the statement “𝑥and𝑦have chatted over the Internet,” where the domain for the variables 𝑥and 𝑦consists of all students in your class. Use quantifiers to express the followingstatement:“Everyone in your class with an Internet connection has chatted over the Internet with at least one other student in your class.
VASEEMUN
690
views
VASEEMUN
asked
Oct 29, 2022
Mathematical Logic
discrete-mathematics
first-order-logic
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0
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106
quantifiers to express each of these statements.
Let P(x) be the statement x has a cell phone and M(x,y) be the statement x and y have texted over the cell phone, where the domain for the variables x and y consists of all students in your class. Use quantifiers to ... other student in your class. c) Someone in your class has a cell phone but has not texted with anyone else in your class.
Let P(x) be the statement “x has a cell phone” and M(x,y) be the statement “x and y have texted over the cell phone,” where the domain for the variables x and y c...
hussain yasir
457
views
hussain yasir
asked
Jul 7, 2022
Mathematical Logic
quantifiers
mathematical-logic
first-order-logic
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3
votes
1
answer
107
GO Classes Weekly Quiz 10 | Discrete Mathematics | Set Theory, Mathematical Logic, Lattice | Question: 2
Assume the following predicate and constant symbols.$W(x,y) :\; x$ wrote $y$$L(x,y) :\; x$ is longer than $y$$h :$ Hardy$a :$ Austen$j :$ Jude the Obscure$p :$ Pride and ...
GO Classes
571
views
GO Classes
asked
May 12, 2022
Mathematical Logic
goclasses_wq10
goclasses
mathematical-logic
first-order-logic
1-mark
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2
votes
1
answer
108
GO Classes Weekly Quiz 10 | Discrete Mathematics | Set Theory, Mathematical Logic, Lattice | Question: 8
Let the universe for all quantified variables be the set of all novels. Assume the following predicates and constant symbols:$W(x,y) :\; x$ wrote novel $y$$L(x,y) : \;x$ ...
GO Classes
422
views
GO Classes
asked
May 12, 2022
Mathematical Logic
goclasses_wq10
goclasses
mathematical-logic
first-order-logic
2-marks
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3
votes
1
answer
109
GO Classes Weekly Quiz 10 | Discrete Mathematics | Set Theory, Mathematical Logic, Lattice | Question: 9
Working with a unary predicate symbol, $P,$ a binary predicate symbol $Q$ and a unary function symbol $f,$ consider the following interpretation $M,$ given by,Universe $A...
GO Classes
334
views
GO Classes
asked
May 12, 2022
Mathematical Logic
goclasses_wq10
goclasses
mathematical-logic
first-order-logic
multiple-selects
2-marks
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3
votes
1
answer
110
GO Classes Weekly Quiz 10 | Discrete Mathematics | Set Theory, Mathematical Logic, Lattice | Question: 10
Recall that a "sentence/proposition" is a predicate logic formula that has no free variables.In predicate logic, a set of sentences is satisfiable iff there is some inter...
GO Classes
298
views
GO Classes
asked
May 12, 2022
Mathematical Logic
goclasses_wq10
goclasses
mathematical-logic
first-order-logic
multiple-selects
2-marks
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