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Some useful problems
Recent questions tagged finite-automata
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1
Finite Automata Combined with Relation
Let DFA , M = (Q, ∑, δ, q$_0$, F) and Relation R is defined on Q as R:Q$\rightarrow$Q such that pRq iff $\forall$ w ∈ $\Sigma$* [ δ*(p,w) ∈ F $\leftrightarrow$ δ*(p,w) ∈ F OR δ* (p, w) ∉ F $\leftrightarrow$ δ* (q, w) ∉ F] then ____________ A) R is Reflexive B) R is Symmetric C) R is transitive D) None
Let DFA , M = (Q, ∑, δ, q$_0$, F) and Relation R is defined on Q as R:Q$\rightarrow$Q such that pRq iff $\forall$ w ∈ $\Sigma$* [ δ*(p,w) ∈ F $\leftrightarrow$ δ...
jaydip74
17
views
jaydip74
asked
16 hours
ago
Set Theory & Algebra
finite-automata
relations
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–
0
votes
0
answers
2
Context Free language sample question
Give a context-free grammar for each of the following languages. Consider, Σ={0,1}. A. The language of strings that start with 1 B. The language of strings of the form WWR C. The language of strings that contain the substring 001 D. The language {0n10n where n ≥ 0} E. ... i, j ≥ 0} J. The language {1i01j | j is a multiple of four or i = 3 + 2j where i, j ≥ 0}
Give a context-free grammar for each of the following languages. Consider, Σ={0,1}.A. The language of strings that start with 1B. The language of strings of the form WWR...
dazeeee
67
views
dazeeee
asked
Apr 3
Theory of Computation
theory-of-computation
finite-automata
context-free-language
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–
0
votes
0
answers
3
#toc
Çșȇ ʛấẗẻ
90
views
Çșȇ ʛấẗẻ
asked
Feb 24
Theory of Computation
theory-of-computation
finite-automata
regular-expression
regular-language
context-free-language
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–
0
votes
2
answers
4
#Convert the NFA in to equivalent R.E.
Çșȇ ʛấẗẻ
174
views
Çșȇ ʛấẗẻ
asked
Feb 24
Theory of Computation
theory-of-computation
finite-automata
+
–
0
votes
0
answers
5
#TOC
Çșȇ ʛấẗẻ
57
views
Çșȇ ʛấẗẻ
asked
Feb 24
Databases
theory-of-computation
finite-automata
regular-expression
regular-language
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–
0
votes
0
answers
6
Regular expression to finite automata
Çșȇ ʛấẗẻ
222
views
Çșȇ ʛấẗẻ
asked
Feb 15
Mathematical Logic
finite-automata
theory-of-computation
regular-expression
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–
3
votes
1
answer
7
GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 32
Which of the following sets has the greatest cardinality? The set of real numbers R The set of all functions from R to {0,1} The set of all finite subsets of natural numbers The set of all finite-length binary strings
Which of the following sets has the greatest cardinality?The set of real numbers RThe set of all functions from R to {0,1}The set of all finite subsets of natural numbers...
GO Classes
456
views
GO Classes
asked
Feb 5
Theory of Computation
goclasses2024-mockgate-14
theory-of-computation
finite-automata
1-mark
+
–
6
votes
1
answer
8
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 24
Let $\mathrm{M}$ be a $8$-state Deterministic Finite Automaton over the alphabet $\{a, b, c\}$. If the language accepted by $\text{M}$ i.e. $\text{L(M)}$ is finite, then the maximum possible cardinality of $\text{L(M)}$ is __________.
Let $\mathrm{M}$ be a $8$-state Deterministic Finite Automaton over the alphabet $\{a, b, c\}$. If the language accepted by $\text{M}$ i.e. $\text{L(M)}$ is finite, then ...
GO Classes
558
views
GO Classes
asked
Jan 28
Theory of Computation
goclasses2024-mockgate-13
goclasses
numerical-answers
theory-of-computation
finite-automata
1-mark
+
–
3
votes
1
answer
9
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 25
A garage door opens if it ever sees the password $011$ in a transmission. More formally, this FSM takes a bitstring consisting of $\text{0's}$ and $\text{1's}$ as its input, and continually outputs $\text{0's}$ until it sees the substring $011,$ ... Arrow $1 - (0/0)$ Arrow $3 - (1/0)$ Arrow $4 - (1/0)$ Arrow $5 - (1/1)$
A garage door opens if it ever sees the password $011$ in a transmission. More formally, this FSM takes a bitstring consisting of $\text{0's}$ and $\text{1's}$ as its inp...
GO Classes
372
views
GO Classes
asked
Jan 28
Digital Logic
goclasses2024-mockgate-13
goclasses
digital-logic
sequential-circuit
finite-automata
multiple-selects
1-mark
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–
3
votes
1
answer
10
GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 15
Consider the following NFA $M$ and say what language is recognised by constructing the machine that recognises the complement of $L(M)$ in $\{a\}^*$. $\emptyset$ $\{a\}^*$ $\{a\}$ $\{\varepsilon\}$
Consider the following NFA $M$ and say what language is recognised by constructing the machine that recognises the complement of $L(M)$ in $\{a\}^*$.$\emptyset$$\{a\}^*$$...
GO Classes
474
views
GO Classes
asked
Jan 21
Theory of Computation
goclasses2024-mockgate-12
goclasses
theory-of-computation
finite-automata
1-mark
easy
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–
8
votes
1
answer
11
GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 43
Let $\text{D}$ be a DFA with $n$ states $\& \;\text{N}$ be an NFA with $n$ states. Which of the following is/are true? If $\text{D}$ accepts some string of length $n$, then the language of $\text{D}$ is infinite ... $\mathrm{N}$ accepts some string of length $n-1$, then the language of $\mathrm{N}$ is infinite.
Let $\text{D}$ be a DFA with $n$ states $\& \;\text{N}$ be an NFA with $n$ states. Which of the following is/are true?If $\text{D}$ accepts some string of length $n$, the...
GO Classes
663
views
GO Classes
asked
Jan 21
Theory of Computation
goclasses2024-mockgate-12
goclasses
theory-of-computation
finite-automata
multiple-selects
2-marks
+
–
4
votes
2
answers
12
GO Classes Test Series 2024 | Mock GATE | Test 11 | Question: 62
Below you see the transition table of a finite state automaton. The initial state is $0;$ the final state is $4.$ $\emptyset$ denotes the fail state, where no successful transition is possible for the given symbol. Note that when encountering a $b$ in state ... $\mathrm{abbb}^+\mathrm{c}^+\mathrm{c}$ $a b^* b b(c c)^+$
Below you see the transition table of a finite state automaton. The initial state is $0;$ the final state is $4.$ $\emptyset$ denotes the fail state, where no successful ...
GO Classes
350
views
GO Classes
asked
Jan 13
Theory of Computation
goclasses2024-mockgate-11
goclasses
theory-of-computation
finite-automata
regular-expression
2-marks
+
–
4
votes
1
answer
13
GO Classes Test Series 2024 | Mock GATE | Test 11 | Question: 63
This question concerns two languages over the alphabet $\Sigma=\{1,-1\}$ (note that this is an alphabet with just two symbols: $1$ and $-1 ).$ The two symbols are interpreted, in the natural way, as the numbers $1$ and $-1,$ in ... $\text{L}_1$ Only $\text{L}_2$ Both None
This question concerns two languages over the alphabet $\Sigma=\{1,-1\}$ (note that this is an alphabet with just two symbols: $1$ and $-1 ).$ The two symbols are interpr...
GO Classes
572
views
GO Classes
asked
Jan 13
Theory of Computation
goclasses2024-mockgate-11
goclasses
theory-of-computation
finite-automata
regular-language
2-marks
+
–
0
votes
1
answer
14
Find the number of final states in DFA that recognizes L, where L= {w1a w2:|w1|≥3,|w2|≤5}, ∑={a, b} and w1, w2 ∈ ∑ * ______
Hritik1204
317
views
Hritik1204
asked
Jan 5
Theory of Computation
theory-of-computation
finite-automata
number-of-dfa
minimal-state-automata
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–
0
votes
1
answer
15
Not Regular language [find out]
Why is C is regular as it non regular as? Please help me with this confusion
Why is C is regular as it non regular as?Please help me with this confusion
Deepak9000
218
views
Deepak9000
asked
Nov 27, 2023
Theory of Computation
finite-automata
theory-of-computation
regular-language
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–
0
votes
1
answer
16
Regular grammar
Çșȇ ʛấẗẻ
194
views
Çșȇ ʛấẗẻ
asked
Nov 22, 2023
Theory of Computation
theory-of-computation
regular-grammar
finite-automata
+
–
0
votes
1
answer
17
#Regular Languages
For a particular input, a turing machine can ‘hang’ on encountering an infinite loop. Why can’t we say the same for any other machine? i.e A DFA or NFA that follows say a*(b). Will the automaton not ‘hang’ if a string $a^n$ where $n \to$ ∞ is fed to it? Isn’t ‘never accepting but progressing’ the same as hanging?
For a particular input, a turing machine can ‘hang’ on encountering an infinite loop. Why can’t we say the same for any other machine? i.e A DFA or NFA that follows...
Mrityudoot
337
views
Mrityudoot
asked
Oct 21, 2023
Theory of Computation
theory-of-computation
regular-expression
finite-automata
regular-language
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–
0
votes
1
answer
18
Automata and Formal Languages
jam
221
views
jam
asked
Oct 17, 2023
Theory of Computation
theory-of-computation
finite-automata
+
–
0
votes
1
answer
19
Please help how to draw dfa
Çșȇ ʛấẗẻ
258
views
Çșȇ ʛấẗẻ
asked
Oct 2, 2023
Theory of Computation
finite-automata
+
–
0
votes
1
answer
20
TOC Find the language
Çșȇ ʛấẗẻ
117
views
Çșȇ ʛấẗẻ
asked
Sep 14, 2023
Algorithms
finite-automata
+
–
1
votes
1
answer
21
Minimal Finite Automata - Theory of Computation
Consider the set of all binary strings where the difference between the number of 0’s and number of 1’s is even. The minimum number of states in a DFA that accepts the given set is _____________? (kindly explain the approach to this problem)
Consider the set of all binary strings where the difference between the number of 0’s and number of 1’s is even. The minimum number of states in a DFA that accepts th...
stillhere
406
views
stillhere
asked
Sep 10, 2023
Theory of Computation
minimal-state-automata
finite-automata
theory-of-computation
number-of-states
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–
0
votes
2
answers
22
MADE EASY test series
FIND the no of 2 state dfa with the designated initial state possible over {a,b,c} which accept empty language is equal to
FIND the no of 2 state dfa with the designated initial state possible over {a,b,c} which accept empty language is equal to
jugnu1337
346
views
jugnu1337
asked
Sep 3, 2023
Theory of Computation
made-easy-test-series
finite-automata
+
–
0
votes
0
answers
23
Theory of computations
Çșȇ ʛấẗẻ
117
views
Çșȇ ʛấẗẻ
asked
Aug 28, 2023
Mathematical Logic
finite-automata
+
–
0
votes
1
answer
24
Theory of computation
Çșȇ ʛấẗẻ
130
views
Çșȇ ʛấẗẻ
asked
Aug 28, 2023
Mathematical Logic
finite-automata
+
–
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