Build a DFA which only accepts the following languages on E = (0, 1): (a) The set of all strings in which every 0.0 is followed immediately by a 1. For example the string 1.0.1, 1.0.0.1, 0.0.1.1, 0.0.1.1.0.1.0.0.1 are in the language, but 0.0.0.1 and 0.0.1.0.0 are not. (b) The set of all strings with the leftmost two symbols are identical to the rightmost two symbols

Q: Give DFA’s accepting the following languages over the alphabet {0, 1} Language : The set of strings…

A:

Q: Draw a deterministic finite automaton (DFA) that recognizes the language consisting of strings over…

A: Solution: DFA that except exactly two a's (which not be consecutive) and any number of b's or…

Q: Construct a DFA that recognizes the language over the alphabet {0, 1} of all strings where the…

A: The given language's DFA is below: DFA , that acknowledge the language over the alphabet {0, 1} of…

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: Given the language L(r) defined over the alphabet {a,b} where r = b(aabb)*a: a. Define a PDA that…

A: We are given a language L(r) ,  where r = b(aabb)*a and we are going to design PDA for it. Then we…

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: = { 0.1} (i) Give a DFA, M1, that accepts a Language L1 = {all strings that contain 00} (ii) Give a…

A: lll)   Acceptor for reverse of L1         Step 1 :- Inter change the intial and final states…

Q: Give DFA’s accepting the following languages over the alphabet {0, 1} Language : The set of all…

A: DFA: DFA stands for Deterministic finite Automation. This automation lets the user to know about…

Q: (a) How you can elaborate the equivalent FA. (b) Consider the language L of strings, defined over…

A: a. Equivalent Finite Automata Two automata A and B are said to be equivalent if both accept exactly…

Q: Let E={a, b} 1- Find a CFG defining the language of all words that contain exactly two b's not more.…

A: "Since you have posted a question with multiple subpart, we will solve the first three subpart for…

Q: Let E={a, b} 1- Find a CFG defining the language of all words that contain exactly two b's not more.…

A: Note: Since you have posted multiple sub-questions in the same request, we will solve the first…

Q: Build an FA that accepts language of all words over the alphabet {a, b} that have both the letter a…

A:

Q: Give a DFA, M1, that accepts a Language L1 = {all strings that contain 00}

A: To accept a DFA that contain minimum of n symbol requires n+1 states.  So the given question will…

Q: Let’s define languages: L1    = {wan | w is an arbitrary string containing a’s and b’s, of length…

A: L1= wa^n/ w is an arbitrary string containing a's and b's, of length n L2= {w/01^*0(11+00)^*}

Q: If L is built on E={0,1, 2}, then any string from {0,1}* either belongs to L a uestion 2 There is an…

A: Automata theory is the study of abstract machines and automata, as well as the computational…

Q: Give DFA’s accepting the following languages over the alphabet {0, 1} Language : The set of strings…

A: A first path starting with 01 and then ending in sigma*(covers the case which both being and end),…

Q: For the following languages, give a simple one-sentence description and show two strings that are in…

A: given the following languages, we have write formal description and two string are in the language…

Q: Find a CFG for the language with all words that start with a letter "a" or are of the form d'b2", n…

A: CFG means context free grammar. If any grammar is possible with single stack memory then CFG is…

Q: Consider the following Grammar |T → FT' T' → *T | /T | ɛ E' → +E | –E | ɛ |F → id |num S-E E – TE'…

A: Ambiguous Grammar : Grammar in which expression can be derived in different way using given Context…

Q: 2- Write CFG for the following languages a) L= {a"b?n, n20} b) L= {a?^b^, n20} c) L= {ww*}, w={a,b}"…

A: Step 1  The solution is given in the below step

Q: Build a DFA for following languages: (Σ = {0, 1}) L = { w | w is a binary string such that in every…

A: Designed DFA for the given languages

Q: Question 1 If L is built on I={0,1, 2}, then any string from (0,13* either belongs to L or to L…

A: Question:1 True   Question:2 False   Question:3 True

Q: Find the accepted and rejected strings of given languages: a) The set of all strings containing no…

A: 1)The strings that may be generated for this explicit languages area unit 000, 0001, 1000, 10001…

Q: Give a DFA, M, that accepts a Language L = {all strings that end with 01}

A: For DFA to accept a string ending with substring x where x is length of substring, the number of…

Q: Suppose L is any Regular language defined over the alphabet Σ = {0, 1} where every string contains…

A: Introduction :

Q: Q3: Give CFG for the following Language L= {1?m0" such that m, n >= 0}.

A: The context free grammar for the given language L=12m0n such that m,n>=0  is given by:…

Q: Suppose that alphabet E = : {a, b} and that L = { w E E* : w = am b" a" bm and m > 0 and n >0} is a…

A: given a language and we have to state that weather the language is context free or not..  to check…

Q: Construct a CFG for the language L C {0, 1, 2}* of all strings that (a) have an equal number of O's…

A: Solution: To construct a CFG for tha languafe L {0,1,2}

Q: Give context-free grammars that generate the following languages. In all parts, the alphabet Σ is…

A: Answer :  1. context free grammar for language with at least two 0's   S →X0X0X X→0X|1X|E or…

Q: Construct a DFA that recognizes the following language of strings over the alphabet (a,b): the words…

A: Deterministic Finite Automation(DFA): DFA is defined as an abstract mathematical concept which is…

Q: write a regular expression for a language over Alphabet L ={0,1} and accepting all strings strt with…

A: Regular Expression Simple expressions known as Regular Expressions can easily define the language…

Q: Show that the following language is context-free, L = {x1#x2#x3 | x1, X2, X3 E {0, 1}*, and for some…

A: Given language is, L= {x1#x2#x3 | x1,x2,x3 ∈{0,1}* and for some i and j ∈{1,2,3}, i != j, xi=xjR }…

Q: Prove that the following language L is not contextfree: L {0"- 1"0" | n20 }.

A: please do upvote for my efforts!   answer: we can use pumping lemma to prove it

Q: 1- Draw an NPDA for the following languages a) L= {a^b?n, n20} b) L= {a?nb^, n20} c) L= {ww*},…

A: Q1:

Q: Give dfa's for the languages (a)L= {ab^wb?: we {a,b}*}, WE (b)L= {ab"a™: n> 2,m23}, (c)L= {w¡abw2:…

A: Given: AS PER OUR POLICY “Since you have posted a question with multiple sub-parts, we will solve…

Q: Show that the following language is context-free, L = {x#x2#x3 | x1, x2, x3 E {0, 1}", and for some…

A: The Answer is

Q: Consider the following PSG G: V={S,NP,VP,D,N,V}; vO=S; /* phrase rules */ S->NP VP; NP->D N; VP->V…

A: Grammar G: V represents linguistics structure such as NP-Noun phrase and VP-verb phrase.…

Q: Given the following grammar in BNF: →=→X|Y|Z→%|→?|→0] a) Change the grammer

A: The answer is

Q: Note: Write Regular Expressions for all of the languages given below defined over Alphabet Set E=…

A: A regular expression is described as a sequence of pattern that defines a string. Regular…

Q: Let L be a language defined over a unary alphabet E = {0}: L = {0* | k = 0 mod 2 or k = 0 mod 3}…

A: Answer is given below .

Q: Construct PDA that accepts a language L = (n is even) then m = k, m,n,k > 1}

A: Introduction

Q: Make a suitable automata for the language that accepts all strings containing first two alphabets of…

A: Let us suppose the first two letters of name is "ab". Now according to the question the second…

Q: Make a suitable automata for the language that accepts all strings containing first two alphabets of…

A: Given: First 2 alphabets of your name: Su Regular expression for the language that accepts all…

Q: For cach language L over a given alphabet E, let (L, E) denote the language over E obtained from L…

A: Decidable language: A language is decidable if a Turing machine accepts and halts on every input…

Q: Consider the following grammar: S➞ ACB/CbB/Ba A➞ da/BC B➞ g/∈ C➞ h/∈ What is the first of B? 1. {…

A: First of B:production rule of B:B -> g/e //here e is epsilong is terminale is epsilon so, from…

Q: kindly give proper explanation and don't copy from any website, I will upvote you (Pumping lemma…

A: Pumping lemma for regular languages - As per the pumping lemma rules if L is a regular language.…

Q: b) Write the CFG for the following language over alphabet Σ= {p,q ,r} L={ pqr, ppqrr, pppqrrr,…

A: Given language L = pn q rn where n>=1 L= {pqr, ppqrr, pppqrrr, ppppqrrrr, pppppqrrrrr, ……………..}

Q: b) What language is generated by the following grammars? In each case justify your answer. i. S -> 0…

A: Actually, given information is: i . S -> 0 S 1 | 0 1ii. S ->+ S S | - S S | aiii. S ->S ( S…

Q: Consider the context-free grammar G = ({S, R, T}, {a,b}, P, S'), where P contains: • S → R|T, • R→…

A: Note: The solution of the first subpart is shown below. Please repost the question with the…

Q: Consider the following grammar, with S as a start symbol: 1) S> A111 2) S> 000A 3) A-> emptystring…

A: