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1. Construct a NESA with at least one s-moves to accept each of the following languages....
1. Design an NFA (Not DFA) of the following languages. a) Lw E a, b) lw...
1. Design an NFA (Not DFA) of the following languages. a) Lw E a, b) lw contain substring abbaab) b) L- [w E 10,1,2) lsum of digits in w are divisible by three) c) L-(w E {0,1,2)' |The number is divisible by three} d) The language of all strings in which every a (if there are any) is followed immediately by bb. e) The language of all strings containing both aba and bab as substrings. f L w E 0,1every...
3) Construct a regular expression defining each of the following languages over the alphabet {a, b}....
3) Construct a regular expression defining each of the following languages over the alphabet {a, b}. (a) L = {aab, ba, bb, baab}; (b) The language of all strings containing exactly two b's. (c) The language of all strings containing at least one a and at least one b. (d) The language of all strings that do not end with ba. (e) The language of all strings that do not containing the substring bb. (f) The language of all strings...
Construct Turing machines that will accept the following languages on {a, b}:
8. Construct Turing machines that will accept the following languages on \(\{\mathrm{a}, \mathrm{b}\}\)
(c) \(L=\{w:|w|\) is a multiple of 4\(\}\).
(g) \(L=\left\{a^{n} b^{n} a^{n} b^{n}: n \neq 0\right\}\).
(h) \(\left.L=a^{n} b^{2 n}: n \geq 1\right\}\).
= {a,b}: 1. (9 pts) Consider the following three languages, all subsets of S* where •...
= {a,b}: 1. (9 pts) Consider the following three languages, all subsets of S* where • L = {w w is a word such that we is divisible by 3). . L2 = {w w is a word whose length is divisible by 4 }. • L3 = {w w is a word such that wla >3}. (a) For each language construct a DFA that recognizes that language. (b) Construct an automaton that recognizes Lin L2. If the constructed automaton...
Construct context-free grammars that generate each of these languages: A. tw E 10, 1 l w...
Construct context-free grammars that generate each of these languages: A. tw E 10, 1 l w contains at least three 1s B. Hw E 10, 1 the length of w is odd and the middle symbol is 0 C. f0, 1 L fx l x xR (x is not a palindrome) m n. F. w E ta, b)* w has twice as many b's as a s G. a b ch 1, J, k20, and 1 or i k
Construct DFA's that recognize the following languages over the alphabet {a,b}: 1. {w|w is any string...
Construct DFA's that recognize the following languages over the alphabet {a,b}: 1. {w|w is any string except abba or aba}. Prove that your DFA recognizes exactly the specified language. 2. {w|w contains a substring either ababb or bbb}. Write the formal description for this DFA too.
Answer these questions Construct regular expressions for the following languages: i. Even binary numbers without leading...
Answer these questions
Construct regular expressions for the following languages: i. Even binary numbers without leading zeros ii, L-(a"b"(n + m) is odd) ii L fa"b"l. n 2 3, m is odd) ni m.
please tell me how to do (p), (s), (t). 85 Exercises EXERCISE 1 on for each...
please tell me how to do (p),
(s), (t).
85 Exercises EXERCISE 1 on for each of the following languages. Give a regular expression for each of the follow ke the machine from 0 back, a. label rip from 0 back co state 0 on an input b. {abc, xyz] c. a, b, d. {ax | x € {a,b]"} e axb | x € {a,b}} [ {(ab)"} assing through 0. bo a piece we already have a input string. So...
(9 pts 3 pts each) For each of the following languages, name the least powerful type of machine that will accept it...
(9 pts 3 pts each) For each of the following languages, name the least powerful type of machine that will accept it, and prove your answer. (Hint: a finite state automata is less powerful than a pushdown automata, which in turn is less powerful than a Turing Machine.) For example, to prove a language needs a PDA to accept it, you would use the Pumping Lemma to show it is not regular, and then build the PDA or CFG that...
1. Construct a DFSM to accept the language: L w E ab): w contains at least 3 as and no more than 3 bs) 2. Let E (acgt a...
1. Construct a DFSM to accept the language: L w E ab): w contains at least 3 as and no more than 3 bs) 2. Let E (acgt and let L be the language of strings consisting of repeated copies of the pairs at, ta, cg. ge. Construct both a DFSM to accept the language and a regular expression that represents the language. 3. Let ab. For a string w E , let w denote the string w with the...
1. Design an NFA (Not DFA) of the following languages. a) Lw E a, b) lw contain substring abbaab) b) L- [w E 10,1,2) lsum of digits in w are divisible by three) c) L-(w E {0,1,2)' |The number is divisible by three} d) The language of all strings in which every a (if there are any) is followed immediately by bb. e) The language of all strings containing both aba and bab as substrings. f L w E 0,1every...
= {a,b}: 1. (9 pts) Consider the following three languages, all subsets of S* where • L = {w w is a word such that we is divisible by 3). . L2 = {w w is a word whose length is divisible by 4 }. • L3 = {w w is a word such that wla >3}. (a) For each language construct a DFA that recognizes that language. (b) Construct an automaton that recognizes Lin L2. If the constructed automaton...
Construct context-free grammars that generate each of these languages: A. tw E 10, 1 l w contains at least three 1s B. Hw E 10, 1 the length of w is odd and the middle symbol is 0 C. f0, 1 L fx l x xR (x is not a palindrome) m n. F. w E ta, b)* w has twice as many b's as a s G. a b ch 1, J, k20, and 1 or i k
Answer these questions
Construct regular expressions for the following languages: i. Even binary numbers without leading zeros ii, L-(a"b"(n + m) is odd) ii L fa"b"l. n 2 3, m is odd) ni m.
please tell me how to do (p),
(s), (t).
85 Exercises EXERCISE 1 on for each of the following languages. Give a regular expression for each of the follow ke the machine from 0 back, a. label rip from 0 back co state 0 on an input b. {abc, xyz] c. a, b, d. {ax | x € {a,b]"} e axb | x € {a,b}} [ {(ab)"} assing through 0. bo a piece we already have a input string. So...
(9 pts 3 pts each) For each of the following languages, name the least powerful type of machine that will accept it, and prove your answer. (Hint: a finite state automata is less powerful than a pushdown automata, which in turn is less powerful than a Turing Machine.) For example, to prove a language needs a PDA to accept it, you would use the Pumping Lemma to show it is not regular, and then build the PDA or CFG that...
1. Construct a DFSM to accept the language: L w E ab): w contains at least 3 as and no more than 3 bs) 2. Let E (acgt and let L be the language of strings consisting of repeated copies of the pairs at, ta, cg. ge. Construct both a DFSM to accept the language and a regular expression that represents the language. 3. Let ab. For a string w E , let w denote the string w with the...
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