Given the alphabet as {0, 1}, write a DFA for the following languages. (Give the complete description of the DFA with transition function as a table and also as a transition graph) L = {w | |w| mod 3 = 0} Describe the extended transition function on a string recursively using transitions one symbol at a time for the automaton of the above problems. (1) A string (of length >=4) that belongs to the language (2) A string (of length >=4) that does not belong to the language

Q: . State which of the following classes each of the given languages belong to, and then prove our…

A: The handwritten answer is below:

Q: For each of the following languages, prove (with pumping lemma) or disprove (with grammar or pda)…

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

Q: Consider the finite automata C in Figure 1. a. Provide a formal definition for C (as covered in…

A: a. Finite automata Finite automata is a mathematical model of system with discrete inputs and…

Q: Question 4. Consider the language L over the alphabet (a, b, c, d } such that L = {abcd":n> 0, m>0}.…

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Q: Consider the grammar E → E+T|T T→T* FIF F→ (E)|id left Show that this grammar is left recursive and…

A: Note: a grammar is said to be left recursive if it has this kind of production : A->Aa|b  // left…

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: Consider the finite automata (FA) represented by the following transitions: Q = {90, 9₁, 92}, { =…

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Q: Question 3. Consider the language L = {w€ {0, 1}* | the strings 01 and 10 occur the same number of…

A: Given language is, L={w ∈{0,1}* | the strings 01 and 10 occur same number of times in w} Pumping…

Q: Draw an equivalent DFA for the language “All possible strings that has two or three 1’s over ∑ = {0…

A: Solution: DFA for the language “All possible strings that has two or three 1’s over ∑ = {0 , 1}”…

Q: For #2 and #3: If the answer is NO, then just come up with a language that is a counter-example. If…

A: Given a DFA to accept L, we convert it to a new NFA to accept shift(L) by the followingintuitive…

Q: (1) For each of the following languages, say whether it is context-free. If so, write a CFG or draw…

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Q: Given the alphabet as {0, 1}, write a DFA for the following three regular languages. (Give the…

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: Fill the proper words in the blank: (1) Given alphabet E, a language on E is a (2) Given a grammar…

A: Following are the answers for the above mentioned blanks:

Q: . For the following, prove context free by giving CFG or describe PDA. If not context free then…

A: Since the length of any string w ∈ B is odd, w must have a symbol exactly in themiddle position;…

Q: For the given grammar, construct LR (1) automaton. Also, list the states that have reduce entries.…

A: The steps of constructing LR (1) Parsing: Firstly ,for the given input string write a context free…

Q: For each of the following languages L, state whether L is regular, context-free but not regular, or…

A: When PDA(push-down automata )is possible then it is context free ,if PDA is not possible then it is…

Q: Give a PDA and a CFG for the following language: Σ {0,1} Let B be the collection of strings that…

A: A pushdown automata and context free grammar

Q: Q. Give a state transition diagram of a DFA that recognizes the following language over the alphabet…

A: In this question, we have to design a DFA that accept all strings which contains 0 at every even…

Q: Show that the family of context-free languages is not closed under difference in general, but is…

A: We know that from the closure of context-free language is that  Context - free language is not…

Q: Given the alphabet as {0, 1}, write a DFA for the following languages. (Give the complete…

A: so, require language L={00011,10010,010010....}

Q: Consider the following FSA A (with e-transitions) over 2 = {0,1}: 92 1. Which of the following…

A: As per the answering guidelines solving the first question completely. Q2) Here epsilon is not…

Q: For languages A and B over E, define the language A ÷ B as follows: A÷ B = {w E E* : there exists x…

A: The solution for the above-given question is given below:

Q: (1) For each of the following languages, say whether it is context-free. If so, write a or draw a…

A:

Q: Consider the language S*, where S = {a, b}. How  many words does this language have of length 2?  Of…

A: KLEENE STAR: Kleene star is basically the unary operation that is performed on the set of strings…

Q: For each of the following languages L, state whether L is regular, context-free but not regular, or…

A: In formal language theory, context-free grammar (CFG) is a formal grammar, and its production rules…

Q: For problems 3-5, use the pumping lemma for context-free languages to prove that L is not a CFL. 3.…

A: The pumping Lemma for Context free languages is, If L be a CFL and w∈L such that |w|>=n for some…

Q: Give context-free grammars that generate the folowing languages for an alphabet, E ={0,1}: a) {w w…

A: S ->Q1Q1Q1 Q ->0Q|1Q|ε Here S,Q are nonterminal symbol and it contains at three 1's and in…

Q: 1) For each of the following languages, say whether it is context-free. If so, write a CFG or draw a…

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Q: Represent, by means of a regular expression, the following languages --Considering that Σ = {a},…

A: As per our guidelines we are supposed to answer?️ only one question. Kindly repost other questions…

Q: Given the following grammar, proof if it is ambiguous by drawing two different derivation trees for…

A: Consider the input string = 1*1+1*1 We will draw two production trees

Q: Let consider the grammar G2 = ({S, P, Q, X, D}, {a, b, c, d}, S, P) where P= {S → PB / X; P→ aPb/ab;…

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Q: Draw an NFA accepting the corresponding language, so that there is a recognizable correspondence…

A: We have to  Draw an NFA accepting the corresponding language, so that there is a recognizable…

Q: Draw an NFA accepting the corresponding language, so that there is a recognizable correspondence…

A: The Answer is in given below steps

Q: Give a state transition diagram of a DFA that recognizes the following language over the alphabet…

A: Note : As per provided guidelines we are supposed to answer only one question at a time please…

Q: Show, by giving an example, that if M is an NFA the recognizes language B, swapping the accept and…

A: We are going to prove if we swap accepting and non-accepting states in NFA it does not necessarily…

Q: In programming languages, what is the difference between regular and context-free grammars, what is…

A: Introduction: Regexps can be used to describe the syntax of Tokens.  Any syntactic structure defined…

Q: Question 4. Consider the language L over the alphabet (a, b, c, d } such that L = {abcd:n> 0, m>0}.…

A: Given: L = {anbncmdm : n > 0, m>0} We have to develop CFG for the language L.

Q: Let D = { w#u|where w and u are strings over {a, b} and |w| = 1.5 * |u|3. If D is a context-free…

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

Q: Give a PDA recognising the same language as the grammar Gof Question 14. Note: You can use the…

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Q: Grammar and its application to Fractals Let G=(N,T,P,∑) where ∑ is the start symbol, N = {D}, T =…

A: According to our guidelines we solve first three:…

Q: (5) Consider the grammar G=(V,T,E,P) with V={E,I}, T={a, b, c, +,·, *. (, )}, and productions R → R+…

A: The solution for the above given question is given below:

Q: a. Given a grammar G =(V.T.E.P) over set of alphabets = (0....9, +. . (. ) with productions . E ->I…

A: Below is the complete solution with complete explanation in detail. The string can be derived with…

Q: (1) For each of the following languages, say whether it is context-free. If so, write a CFG or draw…

A:

Q: Let regular language L1 recognized by DFA (Q1,Σ,δ1,s1,F1) and regular language L2 recognized by DFA…

A: The answer is...

Q: Given the grammar (2 = {a, b, c,+,-}) S →E →E +T|T →T*F|T/F|F → (E) | a | b | a E T F Write down a…

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Q: For each part, show that the language is context- free, or use the pumping lemma to show that the…

A: The pumping lemma can be used to disprove the regularity of a certain language.

Q: Let G = (V, T, S, P ) be a phrase-structure grammar with V = { 0, 1, A, S }, T = { 0, 1 } and the…

A: From the above given value G=(V,T,S,P) with V = { 0, 1, A, S }, T = { 0, 1 } and the set of…

Q: The finite state automaton given by the transition diagram above has  The accepting state is…

A: Here in this question we have given a DFA and based on this DFA we have asked to answer some of the…

Q: The quotient of two languages L_1/L_2 = { x | ∃y ∈ L_2 (xy ∈ L_1) } That is, the set of strings…

A: Contextual Features Free LanguagesUnion: If L1 and L2 are two non-native languages, their union L1 ∪…

Q: In general, there are two types of grammars for programming languages, regular and context-free,…

A: The lexical rules in the case of regular grammar are simple and the notations are quite easy to…

Bare bones programming language

Bare bones programming language is a low-level programming language that gives a detailed stepwise description of a program. It has a tight program design and in-depth understanding of the toolchain. It is based on the target environment and is used for safe coding practices. C programming language is a type of bare bones programming language.