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Recent questions tagged firstorderlogic
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Self Doubt:Mathematical Logic
Represent these two statement in first order logic: $A)$ Only Alligators eat humans $B)$ Every Alligator eats humans Is Every represents $\equiv \exists$ and Only represents $\equiv \forall$ ?? Can we differentiate it with verb ‘eat’ and ‘eats’??
asked
May 18
in
Mathematical Logic
by
srestha
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discretemathematics
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2
Discrete Mathematics [Self Doubt]
Is this statement valid: $(\exists x(P(x)\rightarrow Q(x)) )\rightarrow (\exists xP(x)\rightarrow \exists xQ(x))$
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Apr 14
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Mathematical Logic
by
GATE_aspirant_2021
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41
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45
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firstorderlogic
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3
GATE 1992
How is option (a) correct? Isn’t Universal quantifier not distributive over union/disjunction. Source: https://cse.buffalo.edu/~rapaport/191/distqfroverandor.html
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Apr 14
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Mathematical Logic
by
kaveeshnyk
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37
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30
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discretemathematics
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4
Kenneth Rosen Edition 7th Exercise 1.4 Question 31 (Page No. 54)
Suppose that the domain of $Q(x,y,z)$ consists of triples $x,y,z,$ where $x=0,1$ or $2$ , $y=0$ or $1,$ and $z=0$ or $1.$ Write out these propositions using disjunctions and conjunctions. $a)$ $\forall y \;\;\;Q(0, y, 0)$ $b)$ $\exists x\; \;\; Q(x, 1, 1)$ $c)$ $\exists z \;¬Q(0, 0, z)$ $d)$ $\exists x\;¬Q(x, 0, 1)$
asked
Mar 18
in
Mathematical Logic
by
Pooja Khatri
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10.8k
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22
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kennethrosen
discretemathematics
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firstorderlogic
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5
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GATE201935
Consider the first order predicate formula $\varphi$: $\forall x [ ( \forall z \: z \mid x \Rightarrow (( z=x) \vee (z=1))) \rightarrow \exists w ( w > x) \wedge (\forall z \: z \mid w \Rightarrow ((w=z) \vee (z=1)))]$ Here $a \mid b$ ... Set of all positive integers $S3:$ Set of all integers Which of the above sets satisfy $\varphi$? S1 and S2 S1 and S3 S2 and S3 S1, S2 and S3
asked
Feb 7
in
Mathematical Logic
by
Arjun
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gate2019
engineeringmathematics
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3
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propositional logic
which of the following is tautology? (¬P^(P>q))>¬q ¬(p>q)>¬q [(¬p^q)^[q>(p>q)]]>¬r Both (B) and(C) please explain in detail how to check for especially for condition (C) Because “r” is only in RHS but not in LHS of this implication.
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Jan 22
in
Mathematical Logic
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learner_geek
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3.2k
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98
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propositionallogic
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1
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7
MadeEasy Test Series: Mathematical Logic  First Order Logic
Pardon for the screenshot though. No idea of latex.
asked
Jan 8
in
Mathematical Logic
by
Shamim Ahmed
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2.3k
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125
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madeeasytestseries
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mathematicallogic
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1
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8
Propositional logic self doubt
q = you can access the library r = you have a valid ID s = you have paid subscription fee of that day Consider the following English sentence “You cannot access the library if you don’t have a valid ID unless you have paid subscription fee of that day” which of the following is the correct logical expression? $q \rightarrow (r \vee s )$ $(q \rightarrow r) \vee s$
asked
Jan 7
in
Mathematical Logic
by
Mk Utkarsh
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34.8k
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68
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9
NTA NET DEC 2018 Q18
asked
Dec 25, 2018
in
Mathematical Logic
by
Sanjay Sharma
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72
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firstorderlogic
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10
Self Doubt
∀x(∀z(β)→∃y(¬α)) ⟹∀x(¬∀z(β)∨∃y(¬α)) ⟹¬∃x¬(¬∀z(β)∨∃y(¬α)) ⟹¬∃x(∀z(β)∧¬∃y(¬α)) ⟹¬∃x(∀z(β)∧∀y(α)) In the third line why 2 negations are used ?
asked
Dec 23, 2018
in
Mathematical Logic
by
Shamim Ahmed
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2.3k
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17
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firstorderlogic
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1
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11
Zeal Test Series 2019: Mathematical Logic  First Order Logic
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Dec 22, 2018
in
Mathematical Logic
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Prince Sindhiya
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5.4k
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55
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discretemathematics
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firstorderlogic
zeal
zeal2019
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2
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12
TIFR2019B4
Let $\varphi$ be a propositional formula on a set of variables $A$ and $\varphi$ be a propositional formula on a set of variables $B$ , such that $\varphi$ $\Rightarrow$ $\psi$ . A $\textit{Craig interpolant}$ of $\varphi$ and $\psi$ is a propositional formula $\mu$ on ... Craig interpolant for $\varphi$ and $\psi$ ? $q$ $\varphi$ itself $q \vee s$ $q \vee r$ $\neg q \wedge s$
asked
Dec 18, 2018
in
Mathematical Logic
by
Arjun
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tifr2019
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firstorderlogic
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13
Self doubt Propositional Logic
Que. Consider domain is the set of all people in the world. $F(x,y) =x \text{ is the friend of y}.$ Represent each of the following sentences using firstorder logic statements $1.$ Every person has $at most \ 2$ friends. $2.$ Every person has $exactly \ 2$ ... $3. \forall x \exists y_1\exists y_2(F(x,y_1) \wedge F(x,y_2) \wedge (y_1 \neq y_2))$ Please verify.
asked
Dec 6, 2018
in
Mathematical Logic
by
Soumya29
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15.7k
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88
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discretemathematics
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14
#books
Some cat are intelligent express into first order logic if domain are animals
asked
Nov 12, 2018
in
Mathematical Logic
by
amit166
Junior
(
555
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35
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firstorderlogic
0
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0
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15
Zeal Workbook: Mathematical Logic  First Order Logic
Its answer is a) but here more(x,y) is given means it should be like this  x is more than y then isn't a) is wrong
asked
Nov 9, 2018
in
Mathematical Logic
by
Prince Sindhiya
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5.4k
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131
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zeal
mathematicallogic
firstorderlogic
zealworkbook
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1
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16
Zeal Workbook: Mathematical Logic  First Order Logic
How to write the last line of Qno. 19  irrespective of whether the system has been armed the alarm should go off when there is fire For Qno 20 I am getting iii) and iv) as true but answer is a) please check the 5th one
asked
Nov 9, 2018
in
Mathematical Logic
by
Prince Sindhiya
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5.4k
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56
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zeal
mathematicallogic
firstorderlogic
zealworkbook
0
votes
1
answer
17
Zeal Test Series: Mathematical Logic  First Order Logic
1)How to do question no. 34,36
asked
Nov 9, 2018
in
Mathematical Logic
by
Prince Sindhiya
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5.4k
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65
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zeal
mathematicallogic
firstorderlogic
zealworkbook
0
votes
0
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18
Zeal Workbook: Mathematical Logic  First Order Logic
I am getting b) but right option is a) please check it
asked
Nov 9, 2018
in
Mathematical Logic
by
Prince Sindhiya
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5.4k
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32
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zealworkbook
mathematicallogic
firstorderlogic
zeal
0
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0
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19
Zeal Workbook: Mathematical Logic  First Order Logic
Answer for this is a) but m getting d) as right option please check it
asked
Nov 9, 2018
in
Mathematical Logic
by
Prince Sindhiya
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5.4k
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40
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zeal
mathematicallogic
firstorderlogic
zealworkbook
0
votes
1
answer
20
Zeal Workbook: Mathematical Logic  First Order Logic
answer for this is A) My doubt is why D) can't be the answer
asked
Nov 9, 2018
in
Mathematical Logic
by
Prince Sindhiya
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5.4k
points)

48
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discretemathematics
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firstorderlogic
zealworkbook
+2
votes
1
answer
21
GATEBOOK2019DM11
Which of the following first order logic statement is equivalent to below statement? If anyone cheats, everyone suffers. $S_1 \forall x (\text{cheat}(x) \to \forall y \text{ suffer}(y))$ $S_2: \forall x\forall y (\text{cheat}(x) \to \text{ suffer}(y))$ Only $S1$ Only $S2$ Both $S1$ and $S2$ None
asked
Oct 28, 2018
in
Mathematical Logic
by
GATEBOOK
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(
11.4k
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254
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gb2019dm1
firstorderlogic
discretemathematics
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quantifiers
0
votes
1
answer
22
GATEBOOK2019DM12
Which of the following first order logic statements is VALID? $\neg\forall x \{ P(x) \vee ∃y [Q(y) \wedge P(y)] \} ≡ ∃x \{ \neg P(x) \wedge \forall y [(P(y) → \neg Q(y)) \vee (Q(y) → \neg P(y))] \}$ ...
asked
Oct 28, 2018
in
Mathematical Logic
by
GATEBOOK
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11.4k
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129
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gb2019dm1
discretemathematics
mathematicallogic
firstorderlogic
+1
vote
2
answers
23
GATEBOOK2019DM113
Consider the following statement $ \exists x \: \exists y (\text{PARENT}(x, \text{Ramu}) \wedge \text{PARENT}(y, \text{Ramu}))$ where $\text{PARENT}(x,y)$ means $x$ is a parent of $y.$ Which of the following statement is true about ... order logic statement ? Ramu has at least one parent Ramu has at least two parents Ramu has at most one parent Ramu has at most two parents
asked
Oct 28, 2018
in
Mathematical Logic
by
GATEBOOK
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11.4k
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154
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gb2019dm1
discretemathematics
mathematicallogic
firstorderlogic
quantifiers
+2
votes
1
answer
24
GATEBOOK2019DM118
Everyone has exactly one best friend Which of the following first order logic statements correctly represents above English statement? $BF(x,y)$ means $x$ and $y$ are best friends $S1 : \forall x \exists y \forall z (BF(x,y) \wedge \sim BF(x,z) \rightarrow (y \neq z))$ ... $S1$ Only $S2$ Both $S1$ and $S2$ None of the two
asked
Oct 28, 2018
in
Mathematical Logic
by
GATEBOOK
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11.4k
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150
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gb2019dm1
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0
votes
0
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25
No idea about what to study in FIRST ORDER LOGIC
Hello, please kindly tell from where to study topic FIRST ORDER LOGIC? Also, list out the topics which are needed to be studied from topic FIRST ORDER LOGIC?!
asked
Sep 28, 2018
in
Mathematical Logic
by
iarnav
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8k
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78
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mathematicallogic
propositionallogic
firstorderlogic
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26
PREDICATE LOGIC SELF DOUBT
Some people are Time Travelers and some people are not Time Travelers. P(x) = x is a Person T(x) = x is a Time Traveler Which is/are correct and why? (∀x)(P(x) $\rightarrow$(T(x)∨~T(x))) (∃x)(P(x)^T(x)) ∨ (∃x)(P(x)^~T(x)) (∃x)(P(x)^T(x)) ^ (∃x)(P(x)^~T(x)) (∀x)((P(x)$\rightarrow$T(x)) ∨ (P(x)$\rightarrow$~T(x))) P(x) (∀x)P (∀x)P(x) P
asked
Sep 27, 2018
in
Mathematical Logic
by
Balaji Jegan
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4.8k
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51
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propositionallogic
firstorderlogic
0
votes
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27
Techtud quiz
Twin primes are pairs of numbers pp and p+2p+2 such that both are primesfor instance, 5 and 7, 11 and 13, 41 and 43. The Twin Prime Conjecture says that there are infinitely many twin primes. Let TwinPrime(n)TwinPrime(n) be a predicate that is true if nn and n ... (n)) ∃m.∀n.n≤m∃m.∀n.n≤m implies TwinPrime(n) ∀m.∃n.n≤m∀m.∃n.n≤m and TwinPrime(n) ∃m.∀n.∃m.∀n. TwinPrime(n) implies n≤m
asked
Sep 17, 2018
in
Mathematical Logic
by
Kuldeep Pal
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1.4k
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24
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firstorderlogic
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