Give a context-free grammar that generates the following language, with alphabetΣ is {0, 1, #}: {x1#x2#... #xk | k ≥ 1, each xi E {0, 1} *, and for some i and j, xi = x R j }

Q: 3. Show that the following language A is not regular using the pumping lemma. {0n1m+nom | m, n >0} A…

A:

Q: Consider the following language. L= {w E {0, 1}* : w contains one more 1 than Os} our friend comes…

A: For the given grammar we will find out the string which does not belong to the language produced by…

Q: Define a CFG that generates the language over the alphabet Σ = {α,β,θ} defined by the regular…

A: The given regular expression is : β(α + β)*αθα(α + β + θ)*β We need to find context-free grammar for…

Q: Using Pumping Lemma for regular languages, prove that the language L defined as follows is not…

A:

Q: Find CFGs that for these regular languages over the alphabet Σ = {a, b}. Draw a Finite Automata…

A: In this question we have to design Finite Automata for the given language then find the CFGs for all…

Q: Give a context-free grammar that generates the following language: {a₁ #x₂#... #** k≥ 2, each xi €…

A: Here is CFG grammar:

Q: Consider the following languages over Σ = {0,1} for L2 is the language of all strings that do not…

A: Defined over the alphabet Σ = {0,1}, language L2 is made up of strings devoid of the pattern "00".…

Q: Give an unambiguous grammar for language L(G); using G defined below.

A: The derivation in a CFG can be represented using trees. Such trees representing derivations are…

Q: sider the following language. L= {w€ {0, 1}* : w contains one more 1 than Os} r friend comes up with…

A: We are given a context free grammar and we are going to find out a string which can not be produced…

Q: L = { w ? { a, b, c, d }*| na(w), nb(w), nc(w), nd(w) ≥ 0, na(w)+nc(w)+nd(w) < nb(w) } Is L a…

A: The Pumping Lemma for Context-free Languages is a belonging that context-free languages have to…

Q: Build a deterministic FA Ms for the following language Ls= L(Ms) = {x over {a, b}| if x contains…

A: Deterministic Finite Automata(DFA):DFA consists of Q - finite set of states∑ - input symbolq0 –…

Q: 1. Given L₁ = {a, abc, a c) and L₂ = {ab, c ba) are the languages over = {a, b, c), determine L₁ L2…

A: Given :

Q: Let L₁0 = { 0×1² : x is even and x ≤ y } Show that language L₁0 is regular, context-free (but not…

A: If a language is not regular it is possible to prove using pumping lemma. If a language is context…

Q: (1) {w € [a, b]*: w contains at least one instance of aaba, bbb or ababa} Testing strings: €, a, b,…

A: In this question we have to design a NFA design where a language us provided which should have at…

Q: The following grammar G generates numbers in binary notation. C --> C 0 | A 1 |0 (C is the start…

A: Proved the given languages equivalent

Q: (a) Construct context-free grammars that generate the following languages. (i) The language of all…

A: In questions with many parts, we must answer the unrelated first one.

Q: Give the following FAs over the alphabet Σ =(0,1,2,3,4} a-) A DFA for {w | (w)s is a multiple of 3 }…

A:

Q: U̲s̲i̲n̲g̲ ̲t̲h̲e̲ ̲p̲u̲m̲p̲i̲n̲g̲ ̲l̲e̲m̲m̲a̲,̲ ̲s̲h̲o̲w̲ ̲t̲h̲a̲t̲ ̲t̲h̲e̲ ̲f̲o̲l̲l̲o̲w̲i̲n̲g̲…

A: Pumping Lemma states that if the infinite language has to be accepted by a finite automata, then…

Q: Show that L= {a": n>4} is regular. Show that the language L= {a": n> 0,n± 4} is regular.

A: ANSWER:-

Q: Given a context-free grammar G = {[S, a, b}, {a, b}, R, S}, where R = {S→ aSb, S→ bSa, S→SS, S→ € },…

A: In this question we have to understand about the context free grammar and select the correct…

Q: Consider the languages LLy and L as given below L(01 pa cN (0Tp4e N and p q and L-10TO p4Nand p q

A: The answer for the languages L1,L2 and L3 are

Q: Give a context-free grammar that generates the following language, with alphabetΣ is {0, 1, #}:…

A: One of the following formats must correspond to the language above:

Q: automaton for a language that includes strings that start with 0 and end with 0 for ∑= {0,1, 2}, and…

A:

Q: Generate a CFG which accepts evens a’s. The language set is (a,b). Subject: Theory Of Automata

A: The following is the solution

Q: Give a context-free grammar that generates the following language, with alphabetΣ is {0, 1, #}:…

A: According to the information given:- We have to generate the language with alphabet Σ{0,1,#}

Q: 2. Do there exist regular languages L and L2 such that (L;UL2) = (Lol)? YES or NO

A: yes

Q: show that L= {a^nb^m, n > m} is a deterministic context-free language.

A: To show that the language L = {a^n b^m | n &gt; m} is a deterministic context-free language (DCFL),…

Q: Problem 3 For a language LCE*, define odd(L) := {w E L : w| is odd} (a) Show that if L is regular…

A: Every finite set represents a regular language. Example 1 – All strings of length = 2 over {a, b}*…

Q: Give a CFG that generates the language { ambkckdª | 2m ≤ n }.

A: Here is the context-free grammar (CFG) which does generates the language { a^mb^kc^kd^n | 2m &lt;= n…

Q: abb and bab. Note that the substrings ca

A:

Q: Show that the language L = {w E {a,6, c}" : na (w) + nb w) = nc (W)} is

A:

Q: Given a regular language L = { b1 b2 b3 b4 ... b2n-1 b2n } over some alphabet ∑. Give the…

A: The complete answer is given below .

Q: 2. Give a context-free grammar that generates the following language: |k≥ 2, each x; € {a, b}*, and…

A: This is the grammar for cfg:

Q: Show that the following language is decidable by giving a high-level description of a decio L(M) =…

A: ALLDFA = {  | D is a DFA and L(D) = Σ* }   Input: DFA D 1. Find the set of all reachable states from…

Q: Build a deterministic FA M3 for the following language L3 = L(M3)={x over {a, b}\x consists of…

A: Actually, DFA stands for Deterministic Finite Automata

Q: A language L is called slithy if it contains at least two strings and has the following property:…

A: The answer to the question is given below:

Q: Find a context-free grammar for each of the following languages over the alphabet {a, b}. (N: the…

A: Context-free grammar  (CFG) is a formaL sentence structure which is utilized to produce every one of…

Q: Find CFGs that for these regular languages over the alphabet Σ = {a, b}. Draw a Finite Automatafirst…

A: Let's tackle each of these languages one by one.(a) Language of all words containing the substring…

Q: The symmetric difference of two sets S, and S2 is defined as S1O S2 = {x:xE S, or xE S2, but x is…

A: Below is the answer to above question. I hope this will be helpful for you...

Q: Let E = {a, b, c}. Use the Pumping Lemma to show that the language L defined below is not regular:…

A: The pumping lemma to show that the language L is not regular

Q: Context Free Grammar LetL={a^nb^n|n>0}. Show that L^k is context free for any given k greater than…

A: If there is a CFG for a language, then the language is said to be a Context Free Language