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Recent questions tagged firstorderlogic
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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.
asked
Jan 22
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learner_geek
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2
MadeEasy Test Series: Mathematical Logic  First Order Logic
Pardon for the screenshot though. No idea of latex.
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Jan 8
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Mathematical Logic
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Shamim Ahmed
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3
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
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Mk Utkarsh
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NTA NET DEC 2018 Q18
asked
Dec 25, 2018
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Mathematical Logic
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Sanjay Sharma
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60
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firstorderlogic
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5
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
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Shamim Ahmed
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Zeal Test Series 2019: Mathematical Logic  First Order Logic
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Dec 22, 2018
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Mathematical Logic
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Prince Sindhiya
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40
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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
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Soumya29
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#books
Some cat are intelligent express into first order logic if domain are animals
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Nov 12, 2018
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Mathematical Logic
by
amit166
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713
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32
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#first
firstorderlogic
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9
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
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Prince Sindhiya
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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
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Prince Sindhiya
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44
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1
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11
Zeal Test Series: Mathematical Logic  First Order Logic
1)How to do question no. 34,36
asked
Nov 9, 2018
in
Mathematical Logic
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Prince Sindhiya
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56
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zeal
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12
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
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Prince Sindhiya
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27
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13
Zeal Workbook: Mathematical Logic  First Order Logic
Answer for this is a) but m getting d) as right option please check it
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Nov 9, 2018
in
Mathematical Logic
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Prince Sindhiya
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14
Zeal Workbook: Mathematical Logic  First Order Logic
answer for this is A) My doubt is why D) can't be the answer
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Nov 9, 2018
in
Mathematical Logic
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Prince Sindhiya
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39
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discretemathematics
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1
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15
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
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GATEBOOK
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gb2019dm1
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GATEBOOK2019DM12
Which of the following first order logic statements is VALID? $\neg\forall x \{ P(x) \vee ∃y [Q(y) \wedge P(y)] \} ≡ ∃x \{ \neg P(x) \wedge \forall y [(P(y) → \neg Q(y)) \vee (Q(y) → \neg P(y))] \}$ ...
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Oct 28, 2018
in
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GATEBOOK
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17
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
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GATEBOOK
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18
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
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GATEBOOK
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19
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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9.6k
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61
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mathematicallogic
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20
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
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by
Balaji Jegan
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21
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
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Sep 17, 2018
in
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Kuldeep Pal
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21
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firstorderlogic
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22
Predicate logic gatebook test on logic Q18
asked
Sep 8, 2018
in
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Sandy Sharma
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77
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23
Predicate logic gatebook test on logic Q13
Consider the following statement where parent(x,y) means x is a parent of y. Which of the following statement is true about above first order logic statement ? A. Ramu has at least one parent B. Ramu has at least two parents C. Ramu has at most one parent D. Ramu has at most two parents
asked
Sep 8, 2018
in
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Sandy Sharma
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50
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propositionallogic
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0
votes
0
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24
Predicate logic gatebook test on logic Q4
Minesweeper is a singleplayer computer game invented by Robert Donner in 1989. A unary predicate mine, where mine(x) means that the cell x contains a mine Which of the following statements is the correct interpretation of the above formula? A. There are ... are at least n mines in the game C. There are at most n mines in the game D. None of the above
asked
Sep 8, 2018
in
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Sandy Sharma
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1.3k
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46
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votes
3
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25
UGCNETJuly2018II77
Consider the following English sentence: "Agra and Gwalior are both in India". A sudent has written a logical sentence for the above English sentence in FirstOrder Logic using predicate IN(x, y), which means x is in y, as ... but expresses the meaning of the English sentence It is syntactically invalid and does not express the meaning of the English sentence
asked
Jul 13, 2018
in
Discrete Mathematics
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Pooja Khatri
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ugcnetjuly2018ii
discretemathematics
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2
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26
Propositional logic
I am unable to prove following equations without using truth table 1) p > (q v r) = (p>q) V (p>r) 2) ~(p <> q) = p <> ~q
asked
Jul 12, 2018
in
Mathematical Logic
by
kd.....
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851
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87
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27
self doubt
If Mr.M is guilty, then no witness is lying unless he is afraid. X: Mr M is guilty Y: No witness is lying Z: he is afraid translation: (X ^ ~Z) > Y. Is this correct? If yes please explain the implication in these answers https://gateoverflow.in/20939/tifr2012a2. Thank you.
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Jul 12, 2018
in
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tusharp
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