Q. Give a state transition diagram of a DFA that recognizes the following language over the alphabet {0,1}): (A)L1 = the set of all strings that starts with 0 and ends with 1. (B) L2 = the set of all strings that starts with 1 and have even leng (C) L3 = the set of all strings that have length at least 3 and its thin symbol is 0.

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: Let V = { S, A, B, a, b } and T = { a, b }.   Find the language generated by G = ( V, T, S, P) when…

A: ONLY FIRST THREE PARTS ARE SOLVED. KINDLY SEND THE REMAINING QUESTIONS ON THE PORTAL FOR THEIR…

Q: Build a DFA for the following language: L = { w | w is a string over a , and b starts ( aa or bb )…

A: Since you are asking multiple questions, we are answering first question for you. If you want…

Q: Let L be the language over {a, b, c} accepting all strings so that: All a’s occur after the first…

A: A context-free grammar is a compilation of recursive string pattern rules. All the regular languages…

Q: Write a CFG to generate the language of all strings that have more a's than b's (not necessarily…

A:

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

A: Introduction A formal grammar called context-free grammar is used to produce every conceivable…

Q: For the language, draw the corresponding DPDA. L ={an b2n | N >0}, and Σ={a, b}

A: This question comes from Theory of Computation which is a paper of Computer Science. Let's discuss…

Q: a)  Give a regular expression that describes all strings accepted by the automaton. (b)  Use a…

A:

Q: L1 = { x ∈{a,b}* | x starts with b} L2 = { x ∈ {a,b}* | x ends with a}

A: Constructed a Finite automata  of the given languages

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: ​Let the alphabet Σ = {a, b}.  Given the regular expression r = ab(a+b)*b, assume a language L(r)is…

A: Finite automata are theoretical models used to describe and analyze the behavior of systems with a…

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: Prove that the intersection of two context-free languages is not necessarily context-free. This is…

A: We delve into the complex behavior that distinguishes context-free languages from regular languages…

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: See the image. a.Construct a context-free grammar generating C.Explain how your construction…

A: The answer for the above question is as follows

Q: L₁ = {w {a,b,c}* | n₂(w) ‡ 3, n(w) # 4, and no (w) # 7} (where no(w) represents the number of 'b's…

A: Language L1 have string w belong to {a,b,c}*. Means input symbols are - a, b, c. As in question…

Q: What would be a regular expression (regex) for the language of the attached document

A: Given that, Set of input alphabets= {a, b} The language must contains the strings which have zero or…

Q: Q5. Let XDFA = {(A)| A is a DFA and L(A) is an infinite language}. Show that XDFA is decidable.

A: Answer :-

Q: Draw and formalize a DFA for the language over Σ = {a,b,c} with strings containing an odd number of…

A:

Q: I need help Implementing a parser for the context-free grammar using Java Develop a parser that can…

A: To implement a parser for this context-free grammar using Java, you can follow the following steps:…

Q: 1. Give a regular expression for the following languages: {ab¨w.123, WE {a, (d) L = {w € {0, 1} * :…

A: We are given 3 regular languages and we are asking the equivalent regular expressions. First we will…

Q: Question3a. Write a CFG for the language L over {a.b.c} where L = {a"b³c" n=> 0 and b3

A: Context free language for the given language L

Q: Write regular expression for the following languages, alphabet {0,1} a. The set of strings that do…

A: Regular Expression :- a. The set of strings that do not end with 11. Here A is initial state and C…

Q: a. Write a BNF grammar for the language consisting of strings built only of the letters a and b. The…

A: a. BNF grammar:

Q: For the language, draw the corresponding DPDA. L ={x ∈{a, b}* | na (x) =2nb (x)}

A:

Q: The language composed of all strings over the alphabet {a,b} of the form: zero or more a's followed…

A: Given language is, It contains al the strings over the alphabet {a, b}: Zero or more a's followed by…

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: 2. What is the TG corresponding to the language of strings, over alphabet {a, b}, that are composed…

A: Given: What is the TG corresponding to the language of strings, over alphabet {a, b}, that are…

Q: Find grammars for E = {a, b} that generate the sets of (a) all strings with exactly two a's. (b) all…

A: Note : As per our guidelines , we are supposed to answer only 3 sub questions. Please repost other…

Q: Prove this Padding Lemma.

A: Padding lemma. Let e be an index of a partial recursive function φe .Then there is an infinite,…