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Recent questions tagged propositional-logic
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121
# propositional logic
Why “This statement is true” is proposition while “This statement is false” is liar paradox? Aren’t both statements supposed to be liar paradox ?
Why“This statement is true” is proposition while “This statement is false” is liar paradox?Aren’t both statements supposed to be liar paradox ?
Aditi Thakur
536
views
Aditi Thakur
asked
Dec 7, 2022
Mathematical Logic
mathematical-logic
propositional-logic
+
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2
votes
0
answers
122
GO 2023 Topic Wise Free Test 1 | Question: 1
What is logically equivalent to "If Kareena and Parineeti go to the shopping mall then it is raining": If Kareena and Parineeti do not go to the shopping mall then it is not raining. If Kareena and Parineeti do not go to the ... Parineeti go to the shopping mall. If it is not raining then Kareena and Parineeti do not go to the shopping mall.
What is logically equivalent to "If Kareena and Parineeti go to the shopping mall then it is raining":If Kareena and Parineeti do not go to the shopping mall then it is n...
GO Classes
148
views
GO Classes
asked
Dec 5, 2022
Mathematical Logic
goclasses2024-topictest-1
mathematical-logic
propositional-logic
1-mark
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2
votes
1
answer
123
GO 2023 Topic Wise Free Test 1 | Question: 2
Which of the following expressions is false? $p \rightarrow q \equiv q \rightarrow p$ $\neg(p \vee q) \equiv \neg p \wedge \neg q$ $p \rightarrow q \equiv \neg q \rightarrow \neg p$ none of the above
Which of the following expressions is false?$p \rightarrow q \equiv q \rightarrow p$$\neg(p \vee q) \equiv \neg p \wedge \neg q$$p \rightarrow q \equiv \neg q \rightarrow...
GO Classes
144
views
GO Classes
asked
Dec 5, 2022
Mathematical Logic
goclasses2024-topictest-1
goclasses
mathematical-logic
propositional-logic
1-mark
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2
votes
0
answers
124
GO 2023 Topic Wise Free Test 1 | Question: 3
Which of the following expressions is always true? $\neg p \vee p$ $\neg p \wedge p$ $\neg p \wedge \neg p$ none of the above
Which of the following expressions is always true?$\neg p \vee p$$\neg p \wedge p$$\neg p \wedge \neg p$none of the above
GO Classes
112
views
GO Classes
asked
Dec 5, 2022
Mathematical Logic
goclasses2024-topictest-1
goclasses
mathematical-logic
propositional-logic
1-mark
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2
votes
0
answers
125
GO 2023 Topic Wise Free Test 1 | Question: 4
Select the proposition that is a tautology. $(p \wedge q) \rightarrow \neg p$ $(p \vee q) \rightarrow p$ $(p \wedge q) \leftrightarrow p$ $(p \wedge q) \rightarrow p$
Select the proposition that is a tautology.$(p \wedge q) \rightarrow \neg p$$(p \vee q) \rightarrow p$$(p \wedge q) \leftrightarrow p$$(p \wedge q) \rightarrow p$
GO Classes
134
views
GO Classes
asked
Dec 5, 2022
Mathematical Logic
goclasses2024-topictest-1
goclasses
mathematical-logic
propositional-logic
multiple-selects
1-mark
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2
votes
1
answer
126
GO 2023 Topic Wise Free Test 1 | Question: 5
Select the proposition that is a contradiction. $\neg(p \vee q) \wedge p$ $(p \vee q) \wedge p$ $(\neg p \wedge q) \leftrightarrow p$ $(\neg p \wedge q) \rightarrow p$
Select the proposition that is a contradiction.$\neg(p \vee q) \wedge p$$(p \vee q) \wedge p$$(\neg p \wedge q) \leftrightarrow p$$(\neg p \wedge q) \rightarrow p$
GO Classes
170
views
GO Classes
asked
Dec 5, 2022
Mathematical Logic
goclasses2024-topictest-1
goclasses
mathematical-logic
propositional-logic
multiple-selects
1-mark
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2
votes
1
answer
127
GO 2023 Topic Wise Free Test 1 | Question: 6
In propositional logic, given $P$ and $P \rightarrow Q$, we can infer ________ $\sim Q$ $Q$ $P \wedge Q$ $\sim P \wedge Q$
In propositional logic, given $P$ and $P \rightarrow Q$, we can infer ________$\sim Q$$Q$$P \wedge Q$$\sim P \wedge Q$
GO Classes
243
views
GO Classes
asked
Dec 5, 2022
Mathematical Logic
goclasses2024-topictest-1
mathematical-logic
propositional-logic
multiple-selects
1-mark
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2
votes
1
answer
128
GO 2023 Topic Wise Free Test 1 | Question: 7
In propositional logic if $\left ( P \rightarrow Q \right )\wedge \left ( R \rightarrow S \right )$ and $\left ( P \vee R \right )$ are two premises such that $\begin{array}{c} (P \to Q) \wedge (R \to S) \\ P \vee R \\ \hline Y \\ \hline \end{array}$ $Y$ is the premise : $P \vee R$ $P \vee S$ $Q \vee R$ $Q \vee S$
In propositional logic if $\left ( P \rightarrow Q \right )\wedge \left ( R \rightarrow S \right )$ and $\left ( P \vee R \right )$ are two premises such that$$\begin{arr...
GO Classes
283
views
GO Classes
asked
Dec 5, 2022
Mathematical Logic
goclasses2024-topictest-1
mathematical-logic
propositional-logic
multiple-selects
1-mark
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2
votes
1
answer
129
GO 2023 Topic Wise Free Test 1 | Question: 10
Recall the definitions of valid, satisfiable, and unsatisfiable in the propositional logic. What is the relationship between the above concepts? If a formula $\phi$ is valid then $\phi$ is satisfiable; and if $\phi$ is invalid then $\phi$ is not ... $\phi$ is invalid; and if $\neg \phi$ is satisfiable then $\phi$ is valid.
Recall the definitions of valid, satisfiable, and unsatisfiable in the propositional logic.What is the relationship between the above concepts?If a formula $\phi$ is vali...
GO Classes
156
views
GO Classes
asked
Dec 5, 2022
Mathematical Logic
goclasses2024-topictest-1
goclasses
mathematical-logic
propositional-logic
multiple-selects
2-marks
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8
votes
2
answers
130
GO 2023 Topic Wise Free Test 1 | Question: 11
A set of propositions is called a system specification. System specification is consistent if they do not contain conflicting requirements that could be used to derive a contradiction. When specifications are not consistent, there would be no way ... is retransmitted. Which of the above system specifications are consistent? Only $1$ Only $2$ Both None
A set of propositions is called a system specification.System specification is consistent if they do not contain conflicting requirements that could be used to derive a c...
GO Classes
454
views
GO Classes
asked
Dec 5, 2022
Mathematical Logic
goclasses2024-topictest-1
goclasses
mathematical-logic
propositional-logic
2-marks
+
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5
votes
1
answer
131
GO 2023 Topic Wise Free Test 1 | Question: 12
Two compound propositions are logically equivalent if they have the same truth table. For example, the following two compound propositions are logically equivalent: $\mathrm{p} \rightarrow \mathrm{q}$ ... propositional variables, how many compound propositions are there that are Not logically equivalent to each other?
Two compound propositions are logically equivalent if they have the same truth table.For example, the following two compound propositions are logically equivalent: $\math...
GO Classes
192
views
GO Classes
asked
Dec 5, 2022
Mathematical Logic
goclasses2024-topictest-1
numerical-answers
goclasses
mathematical-logic
propositional-logic
2-marks
+
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2
votes
1
answer
132
GO 2023 Topic Wise Free Test 1 | Question: 13
Let $p,q,r$ be three propositional variables. Which of the following statements is/are false? $p \rightarrow(q \vee r)) \equiv((p \wedge \neg q) \rightarrow r)$ $(p \wedge q) \vee r \equiv p \wedge(q \vee r)$ If $(p \rightarrow q)$ is FALSE then $(q \rightarrow p)$ is TRUE. If $(p \rightarrow q)$ is TRUE then $(q \rightarrow p)$ is FALSE.
Let $p,q,r$ be three propositional variables.Which of the following statements is/are false?$p \rightarrow(q \vee r)) \equiv((p \wedge \neg q) \rightarrow r)$$(p \wedge q...
GO Classes
142
views
GO Classes
asked
Dec 5, 2022
Mathematical Logic
goclasses2024-topictest-1
goclasses
mathematical-logic
propositional-logic
multiple-selects
2-marks
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2
votes
0
answers
133
GO 2023 Topic Wise Free Test 1 | Question: 14
Which of the following statements is true? The sentence $S$ is a logical consequence of $S_{1},\dots,S_{n}$ if and only if $S_{1}\wedge S_{2} \wedge \dots \wedge S_{n}\rightarrow S$ is satisfiable. The sentence $S$ ... $S_{1}\wedge S_{2}\wedge \dots \wedge S_{n}\wedge S$ is inconsistent.
Which of the following statements is true?The sentence $S$ is a logical consequence of $S_{1},\dots,S_{n}$ if and only if $S_{1}\wedge S_{2} \wedge \dots \wedge S_{n}\rig...
GO Classes
184
views
GO Classes
asked
Dec 5, 2022
Mathematical Logic
goclasses2024-topictest-1
mathematical-logic
propositional-logic
2-marks
+
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2
votes
0
answers
134
GO 2023 Topic Wise Free Test 1 | Question: 15
Consider a proposition given as: $x \geq 6$, if $x^2 \geq 25 $ and and its proof as: If $x \geq 6$, then $x^2 =x.x \geq 6.6 = 36 \geq 25$ Which of the following is correct with respect to the given proposition and its proof? The ... by assuming what is to be shown The proof is correct and there is nothing wrong $ a$ only $c$ only $a$ and $b$ $b$ only
Consider a proposition given as:$x \geq 6$, if $x^2 \geq 25 $ and and its proof as:If $x \geq 6$, then $x^2 =x.x \geq 6.6 = 36 \geq 25$Which of the following is correct w...
GO Classes
170
views
GO Classes
asked
Dec 5, 2022
Mathematical Logic
goclasses2024-topictest-1
mathematical-logic
propositional-logic
2-marks
+
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2
votes
0
answers
135
GO 2023 Topic Wise Free Test 1 | Question: 16
If the bank receipt is forged, then Mr. M is liable. If Mr. M is liable, he will go bankrupt. If the bank will loan him money, he will not go bankrupt. The bank will loan him money. Which of the following can be concluded from the above statements? Mr. M is liable The receipt is not forged Mr. M will go bankrupt The bank will go bankrupt
If the bank receipt is forged, then Mr. M is liable.If Mr. M is liable, he will go bankrupt.If the bank will loan him money, he will not go bankrupt.The bank will loan hi...
GO Classes
139
views
GO Classes
asked
Dec 5, 2022
Mathematical Logic
goclasses2024-topictest-1
mathematical-logic
propositional-logic
2-marks
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14
votes
3
answers
136
GO Classes CS 2025 | Weekly Quiz 1 | Propositional Logic | Question: 10
Given the truth table of a Binary Operation \$ as follows: $ ... }$ Identify the matching Boolean Expression. $X \$ \neg Y$ $\neg X \$ Y$ $\neg X \$ \neg Y$ none of the options
Given the truth table of a Binary Operation \$ as follows:$$\begin{array}{|l|l|l|l|} \hline {} \text{X} & \text{Y }& \text{X\$Y }\\ \hline \text{1} & \text{0 }& ...
GO Classes
1.1k
views
GO Classes
asked
Dec 5, 2022
Mathematical Logic
goclasses2025_cs_wq1
goclasses
mathematical-logic
propositional-logic
2-marks
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0
votes
1
answer
137
Provided by teacher, topic -arguments
Show that: (r → ~ q, r ∪ S, S → ~ q, p → q) ↔ ~ p are inconsistent.
Show that: (r → ~ q, r ∪ S, S → ~ q, p → q) ↔ ~ pare inconsistent.
raj-123
293
views
raj-123
asked
Nov 26, 2022
Mathematical Logic
mathematical-logic
propositional-logic
descriptive
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0
votes
1
answer
138
Translate the given statement into propositional logicexpressions:“A man qualifies for the marathon if his best previous time is less than 3 hours and a woman qualifies for the marathon if her best previous time is less than 3.5 hours.
VASEEMUN
716
views
VASEEMUN
asked
Oct 29, 2022
Mathematical Logic
discrete-mathematics
mathematical-logic
propositional-logic
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0
votes
0
answers
139
UGC NET CSE | October 2022 | Part 1 | Question: 85
Consider $\alpha, \beta, \gamma$ as logical variables. Identify which of the following represents correct logical equivalence : (A) $(\alpha \wedge(\beta \vee \gamma)) \equiv((\alpha \wedge \beta) \vee(\alpha \wedge \gamma))$ ... options given below : (A) and (D) only (B) and (C) only, (A) and (C) only (B) and (D) only
Consider $\alpha, \beta, \gamma$ as logical variables. Identify which of the following represents correct logical equivalence :(A) $(\alpha \wedge(\beta \vee \gamma)) \eq...
admin
187
views
admin
asked
Oct 23, 2022
Mathematical Logic
ugcnetcse-oct2022-paper1
propositional-logic
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0
votes
3
answers
140
Predicate Translation
S(x): x is a Student P(x): x is a Professor A(x, y): x has asked a question to y Domain not given, so we have to think about default domain Q1) Translate There is a student who has asked every professor a question Q2) Translate ... a professor who has been asked a question by every student Q4) Translate There is a student who has been asked a question by every professor
S(x): x is a StudentP(x): x is a ProfessorA(x, y): x has asked a question to yDomain not given, so we have to think about default domainQ1) Translate “There is a studen...
prithatiti
680
views
prithatiti
asked
Sep 6, 2022
Mathematical Logic
propositional-logic
mathematical-logic
discrete-mathematics
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–
2
votes
2
answers
141
GO Classes Weekly Quiz 2 | Programming in C | Propositional Logic | Question: 4
How many rows appear in a truth table for this compound proposition? $p \rightarrow \neg p$
How many rows appear in a truth table for this compound proposition?$p \rightarrow \neg p$
GO Classes
472
views
GO Classes
asked
May 2, 2022
Mathematical Logic
goclasses_wq2
numerical-answers
goclasses
mathematical-logic
propositional-logic
1-mark
+
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4
votes
4
answers
142
GO Classes Weekly Quiz 2 | Programming in C | Propositional Logic | Question: 5
How many rows appear in a truth table for this compound proposition? $(p \wedge r \wedge t) \leftrightarrow (q \wedge t)$
How many rows appear in a truth table for this compound proposition?$(p \wedge r \wedge t) \leftrightarrow (q \wedge t)$
GO Classes
652
views
GO Classes
asked
May 2, 2022
Mathematical Logic
goclasses_wq2
numerical-answers
goclasses
mathematical-logic
propositional-logic
1-mark
+
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8
votes
3
answers
143
GO Classes CS 2025 | Weekly Quiz 1 | Propositional Logic | Question: 1
Let $p$ be the statement Maria learns discrete mathematics and $q$ the statement Maria will find a good job. Which of the following English Statement expresses the statement $p \rightarrow q?$ If Maria learns discrete ... good job. For Maria to get a good job, it is sufficient for her to learn discrete mathematics.
Let $p$ be the statement “Maria learns discrete mathematics” and $q$ the statement “Maria will find a good job.” Which of the following English Statement expresse...
GO Classes
1.8k
views
GO Classes
asked
May 2, 2022
Mathematical Logic
goclasses2025_cs_wq1
goclasses
mathematical-logic
propositional-logic
multiple-selects
1-mark
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12
votes
3
answers
144
GO Classes CS 2025 | Weekly Quiz 1 | Propositional Logic | Question: 11
Suppose that during the most recent fiscal year, the annual revenue of Acme Computer was $138$ billion dollars and its net profit was $8$ billion dollars, the annual revenue of Nadir Software was $87$ billion ... net profit. If Quixote Media had the smallest net profit, then Acme Computer had the largest annual revenue.
Suppose that during the most recent fiscal year, the annual revenue of Acme Computer was $138$ billion dollars and its net profit was $8$ billion dollars, the annual reve...
GO Classes
1.3k
views
GO Classes
asked
May 2, 2022
Mathematical Logic
goclasses2025_cs_wq1
goclasses
mathematical-logic
propositional-logic
multiple-selects
2-marks
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9
votes
5
answers
145
GO Classes CS 2025 | Weekly Quiz 1 | Propositional Logic | Question: 9
Let $P,S,R$ be three statements(propositions). Let $S$ be a sufficient condition for $P$, Let $R$ is a necessary condition for $P$ then which of the following is/are true? $S$ is a sufficient condition for $R$. ... $S$ is neither sufficient, nor a necessary condition for $R.$ $S$ is a sufficient and necessary condition for $R$.
Let $P,S,R$ be three statements(propositions). Let $S$ be a sufficient condition for $P$, Let $R$ is a necessary condition for $P$ then which of the following is/are true...
GO Classes
1.4k
views
GO Classes
asked
May 2, 2022
Mathematical Logic
goclasses2025_cs_wq1
goclasses
mathematical-logic
propositional-logic
multiple-selects
2-marks
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