(a) L = {all words with exactly one b}. (b) L = {all words with at least one a}. (c) L = {all words with no more than three b's}.

Q: Give regular expressions for the languages given below over the alphabet E = {a,b, c}. (a) The set…

A: Given that, Σ= {a, b, c} The language contains three input alphabets a, b and c. Regular expressions…

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: Consider a set of symbols = {abc}. (1) Find all strings in E* shorter than 3. (2) Let L = {1, b,…

A: set of symbols = {a,b,c}

Q: Formal Languages and Automata Theory Give regular expression that describes the following language,…

A: Please give positive ratings for my efforts. Thanks.   SUMMARY I have also uploaded the image of the…

Q: For each of the languages below, determine whether the language is regular or not. If the language…

A: Here is the solution:-

Q: Find all the language sets by requirement: Language X not context-free ⊊ Language Y context-free and…

A: for every i ≥ 0, xyi z ∈ L, and 2 |y| > 0, and 3 |xy| ≤p. Idea: if L has a DFA, then for every…

Q: 4. Consider the following languages. • ANFAFIN = {(N) |N is an NFA and L(N) is finite} • EREX = {(R)…

A: Answer:- No,All strings of the form 10n are contained in L(N) (in addition to other strings as…

Q: This exercise is to generate a language and a finite automata to process the language. The language…

A: This exercise is to generate a language and a finite automata to process the language. The language…

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: G= ({S, A, B, C}, {a,b,c}, S, P) where P S → AB A AB|CB| a BAB b CAC C

A: NPDA stands for non-deterministic pushdown automaton. It is basically a type of computational model…

Q: 5. Is the set (pp, where p is a prime number below 42) a Context Free Language (CFL)? Is it a…

A: Hello student Greetings   The question pertains to the properties of a given set of numbers,…

Q: Determine whether A is a regular language or not. Fully justify your answer. Assume = {0,1} and let…

A: In theoretical computer science, regular languages are a category of formal languages that can be…

Q: the first b. 3.The last symbol of the string is d. 4.Each a is immediately fo

A: Let L be the language over {a, b,c,d} accepting all strings so that: 1.All c’s occur before the…

Q: Let F(x.y): "x is friend with y", N(x): "x is funny", W(x): "x is wise", R(x): "x is fair". The…

A: English is: Everyone has some friends who are not funny but wise and whom are fair is not friend…

Q: Let G = ({S,A,B,C,D,E,Z},(0,1),R,S), where R = {S → E | Z; E → A | C; A → 01B | 0A | ; B → 1B |…

A: Introduction: Here we are required to to perform the asked questions on given set G =…

Q: Let E = {a, b, #} and L = {w |w can be written as t#s#t with s, t e {a, b}*}. Show that L is not…

A: The answer is

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: Formalize the following sentence in english: Vx. (person(x ) A ay. (like(x,y) A food(y) A…

A: The given expression is formed of formal logic symbols and expressions so we can convert it into an…

Q: Q Construct a (Deterministic finite automaton) DFA that accepts the language given below: L2 = {x |…

A: Deterministic finite automata for the given language

Q: Regular Expression and Languages: (a) Given the language A = {”a”, ”bb”} and B = {”d”}, what is the…

A: First lets understand how concatenation and or works on languages: AB : language B is concatenated…

Q: Consider the language L of strings over the alphabet Σ = {a, b} which contain an equal number of a’s…

A: CFG is a formal grammar which is used to generate the all possible strings in given formal…

Q: Give a regular expression for the smallest language Lover Σ = {a,b,c} such that EEL • aa EL Vr E L,…

A: A regular expression is a character sequence that describes a text search pattern. String-searching…

Q: 4. Consider the following languages. ANFAFIN = {{N) | N is an NFA and L(N) is finite} EREX = {(R) |…

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

Q: (k) L= {w: na (w) ≤n₂ (w)}. Construct npda that accepts the following language on

A: Given language is, L= {w : na(w)<nb(w)} Set of input alphabets= {a, b} The language accepts the…

Q: Consider the language L of strings over the alphabet Σ = {a, b} which contain an equal number of a's…

A: By establishing a context-free grammar (CFG), it is possible to demonstrate the context-freeness of…

Q: Give dfa's for the languages

A: Here ; we are given a language whose dfa we have to create: First we will see that our w belongs to…

Q: Given the domains m € MOVIES and c e CH ARACTERS and the following predicates: • SW(m): m is a Star…

A:

Q: Fill the blank with correct number: If A= {a,b,c} and B = {c,d}, then the set AN B has partitions,…

A: According to the information given:- We have to fill the blank space with its correct partitions on…

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

A: The DPDA for the given language

Q: Let L be L(A), where DFA A = (Q,T,8, q0, F) over alphabet T = {a, %3D b}. Let h be the homomorphism…

A: we formally express the DFA as M  = ( Q, L:, 8, q1, F ) , where Q = {q1, q2 , q3} L: = { a, b}…

Q: Define the problem SDFA: SDFA = { M1 and M2 are DFAS and L(M1) is a subset of L(M2)} In other words,…

A:

Q: Given: Language L2 = {w ϵ {a,b}* | w contains substring aab} Construct the DFA representing the…

A: We are given a language which is regular and we are going to construct DFA for it. Then we will find…

Q: 4. Given a language L, the language LR is defined as the language consisting of the reverse of all…

A: PALINDROME: A palindrome is a word, number, or sequence of words. when we read that backward or…

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: Give regular expression that describes the following language, which is over the alphabet {0, 1}.…

A: A regular expression is a method used in programming for pattern matching. Regular expressions…

Q: = L2 = {a"b™|m > n}

A: CFG stands for context-free grammar. CFG is is a formal grammar, used to generate all possible…

Q: For each of the following languages give a regular expression that describes it. 1- A1 = {w|w is a…

A: Regular Expression: A regular expression is exists for all the regular languages. A regular…

Q: Build a TM to accept the language of all words of a's and b's that contain at least one aa or one…

A: Here is a Turing Machine that accepts the language of all words of a's and b's that contain at least…

Q: Define a language L, in a recursive way where the strings should not contain ab at any place over…

A:

Q: Let the following languages Li be given over the alphabet 2= {0, I, 2}. %3D . Li - u.2 |υε Σ' %3D .…

A:

Q: Let L1, L2, and L3 be languages over some alphabet. In each case below, two languages are given. Say…

A: 1. Both are not always equal.

Q: Finite Automata Question: Mention atleast 6 strings of each regular expression that is listed…

A: Mention atleast 6 strings of each regular expression that is listed below: Given: let A={a,b,c,d}…