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 i xi-x Ri

Q: Find a CFG that generates the language : L = {a i bj c jd i : i, j ≥ 1}

A: We are given a language which is a context free language and we are going to write context free…

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: 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: Prove that the following language is undecidable by giving a reduction from a known undecidable…

A: SOLUTION: The language to show undecidable is  EQCFG=G,HL(G) = L(H). Consider the following…

Q: Given the grammar    F>   GnF | mZpG G    >    pZ | mZpM | q    Z    >    mG | mGp | m…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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: Construct the context free grammar G and a Push Down Automata (PDA) for each of the following…

A: The context free and PDA : Context free grammar: It  is used to generate all possible strings in a…

Q: Provide context-free grammars which generate each of the following languages and explain how your…

A: In this task, we are tasked with creating context-free grammars for four different languages, each…

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: der the following Grammar G= S>0515 | 1505 | A Which of the following sentences are in the language…

A: Given : S→ 0S1S | 1S0S | ε

Q: Show that D = {l*|n >0} is nonregular.

A: Given : Language D = {1n^2 | n>= 0} To prove : Proving D is not regular using Pumping Lemma.

Q: Prove that the following language is undecidable by giving a reduction from a known undecidable…

A: Actually, the given information is: ????? = {⟨?, ?⟩ | ? ??? ? ??? ???? ???? ???? ?(?) = ?(?)}Hint:…

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: Let G = (V. E, P, S) be a context-free grammar in which SS only when n = 0. G is an LR(k) grammar (k…

A: explaination given as:

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: e a Pushdown Automaton to accept the language { anbn | n ≥ 0 } generated by the context-free grammar…

A: Step 1: Push-down Automaton to accept the language { anbn | n ≥ 0 } generated by the context-free…

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

A:

Q: Use the pumping lemma to prove that the language L over {a,b,c}", given by L = {wcv: |wa = |vl6} is…

A: First lets see Pumping lemma for regular languages: If a language L is regular, then there exist an…

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: Convert the gram S→ ab | as | aaS | aSS into Greibach normal form

A: The grammar S —> ab I aS I aaS aSS into Greibach normal form. Solution to the above-mentioned…

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: Prove that the language L = {a"b"c": n>0, m>n} is not regular using pumping lemma for regular…

A:

Q: Consider a grammar G that includes the four lookahead rules for A. Give the code for GetA (s, i)…

A: Given  a grammar G that includes the four lookahead rules for A. the code for GetA (s, i) that is…

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: For the grammar G with the productions: S -> a | c| S S s b Ciue

A: S -> aSb | x | SS The answer is an given below :

Q: Given the following CFG S -> a|XbY X -> ε|aZ|Y Y -> b|XX Z -> ab|SS First convert it to CNF, after…

A: To convert the given context-free grammar (CFG) to Chomsky Normal Form (CNF), we need to follow a…

Q: For the language, draw the corresponding DPDA. L ={x ∈ {a, b}* | na (x) < nb (x)}.

A: The DPDA for the given language

Q: Give a regular expression for the smallest language L over E= {0,1} such that € EL •0EL VXEL,…

A: Step 1: Σ = {0,1} ε ε L     0 ε L     1 ε L   This means Null string, 0,1 all the 3 are present in…

Q: Given the following Regular Grammar (RG) StS zF F→ 2G|z GtG t Which of the following strings can be…

A: Which of the following strings can be generated by it?i. tzzii. zttiii. ttzziv. zztt

Q: Prove that each of the following languages is context-free by constructing a context-free grammar…

A: Context Free Grammar: A grammar contain a context free grammar then it must be a context free…

Q: Give a Chomsky normal form grammar for the set A = {w∈{a,b}^+ | #a(w) = #b(w)}. Recall the symbol +…

A: To generate a Chomsky Normal Form (CNF) grammar for the set A = {w∈{a,b}^+ | #a(w) = #b(w)}, which…

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: a context free grammar G accepting the same language as FSA

A: Given :- In the above question, a context free grammar G accepting the same language as FSA along…

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: 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…