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Recent questions tagged finite-automata

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DFA construction
Design a DFA to recognize all strings over {a,b} such that L={awa : w ϵ {a,b}* }.
Design a DFA to recognize all strings over {a,b} such that L={awa : w ϵ {a,b}* }.
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DFA construction
Construct a DFA with minimum number of states, accepting all strings over {a, b} such that the number of a’s is divisible by three and the number of b’s is divisible by two.
Construct a DFA with minimum number of states, accepting all strings over {a, b} such that the number of a’s is divisible by three and the number of b’s is divisible ...
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DFA construction
Design a DFA (Deterministic Finite Automaton) that recognizes the language L defined follows: L= {w -> {a, b}* | every a in w is immediately followed by bb}
Design a DFA (Deterministic Finite Automaton) that recognizes the language L defined follows: L= {w - {a, b}* | every a in w is immediately followed by bb}
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How is "All strings {0,1} of length five or more in which the third symbol from the right end is different from the leftmost symbol" solved?
How is "All strings {0,1} of length five or more in which the third symbol from the right end is different from the leftmost symbol" solved? Answer Follow·1 Request ...
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#Convert the NFA in to equivalent R.E.
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GATE CSE 2024 | Set 2 | Question: 12
​​​​Which one of the following regular expressions is equivalent to the language accepted by the $\text{DFA}$ given below? $0^{*} 1\left(0+10^{*} 1\right)^{*}$ $0^{*}\left(10^{*} 11\right)^{*} 0^{*}$ $0^{*} 1\left(010^{*} 1\right)^{*} 0^{*}$ $0\left(1+0^{*} 10^{*} 1\right)^{*} 0^{*}$
​​​​Which one of the following regular expressions is equivalent to the language accepted by the $\text{DFA}$ given below?$0^{*} 1\left(0+10^{*} 1\right)^{*}$$0^{...
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GATE CSE 2024 | Set 2 | Question: 31
​​Let $\text{M}$ be the $5$-state $\text{NFA}$ with $\epsilon$-transitions shown in the diagram below. Which one of the following regular expressions represents the language accepted by $\text{M}$? $(00)^{*}+1(11)^{*}$ $0^{*}+\left(1+0(00)^{*}\right)(11)^{*}$ $(00)^{*}+\left(1+(00)^{*}\right)(11)^{*}$ $0^{+}+1(11)^{*}+0(11)^{*}$
​​Let $\text{M}$ be the $5$-state $\text{NFA}$ with $\epsilon$-transitions shown in the diagram below.Which one of the following regular expressions represents the la...
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GATE CSE 2024 | Set 1 | Question: 40
Consider the $5$ -state $\text{DFA}$. $M$ accepting the language $L(M) \subset(0+1)^{*}$ shown below. For any string $w \in(0+1)^*$ let $n_0(w)$ be the number of $0^{\prime} s$ in $w$ and $n_1(w)$ be the number of 1 's in $w$. ... $4$ are distinguishable in $M$ States $2$ and $5$ are distinguishable in $M$ Any string $w$ with $n_0(w)=n_1(w)$ is in $L(M)$
​Consider the $5$ -state $\text{DFA}$. $M$ accepting the language $L(M) \subset(0+1)^{*}$ shown below. For any string $w \in(0+1)^*$ let $n_0(w)$ be the number of $0^{\...
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State diagram
Give state diagrams of DFAs recognizing the following languages. In all parts, the alphabet is {0,1}. 1- {w| w starts with 0 and has odd length, or starts with 1 and has even length}
Give state diagrams of DFAs recognizing the following languages. In all parts, the alphabet is {0,1}.1- {w| w starts with 0 and has odd length, or starts with 1 and has e...
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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...
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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 ...
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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...
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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\}^*$$...
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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...
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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 ...
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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...
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Find the number of final states in DFA that recognizes L, where L= {w1a w2:|w1|≥3,|w2|≤5}, ∑={a, b} and w1, w2 ∈ ∑ * ______
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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
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Regular grammar
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#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...
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Automata and Formal Languages
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Please help how to draw dfa
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