Let L be the language accepted by automaton in Figure 1. Find a dfa that accepts L². 8 90 b 91 a, b Figure 1: Automaton diagram. a, b 92

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…

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Q: 6. Give a nondeterministic finite automaton that accepts the language generated by the regular…

A: Here is the solution of the above problem. See below steps.

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: 4. Build a deterministic finite automaton that accepts the language {w€ {a,b}* : w has length at…

A: Solution:   Given,

Q: Write a finite automaton  for a language that accepts all words starting with an alphabet character…

A: Automation   State 1:   Input: a   Output: Go to state 2   State 2:   Input: [a-zA-Z0-9]   Output:…

Q: Let L be a regular language. Show that the following language L' is regular too. L' = {y : 3x € £*…

A: | x | = | y | = | z | xyz € L  L is regular then L' is regular.

Q: show that Every context-free language is a member of P.

A: All regularly used languages are context-free but all context-free languages which we use in the…

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

A: Given Statement:- XDFA = {(A) | A is DFA and L(A) is an infinite language} To prove:- XDFA is…

Q: (IV) Given the automaton below for a language L a (1 b a,b 2

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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: Let L be the set of exactly those strings over the alphabet {a, b, c, g} whose last symbol is either…

A: Given NFA should accept all strings over {a,b,c,g} even length Accepting strings are aa ab abcg aabb…

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

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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: Let L be the language accepted by the automaton A of Question 2, and let L' be the language accepted…

A: The finite automata or finite state machine is an abstract machine that has five elements or tuples.…

Q: 3. Prove that all regular languages can be recognized by or be expressed using: A -> aB | a is…

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Q: Q. Construct a (Deterministic finite automaton) DFA that accepts the language given below which is…

A: Design a FA with ∑ = {0, 1} accepts at least one 1 at most one 0

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

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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: Construct a finite automaton on the alphabet {s, t, u} that recognizes the language M, M = {x | such…

A: We are going to construct a finite automata which will accept strings which starts with st. Please…

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: A language L is called slithy if it contains at least two strings and has the following property:…

A: The answer to the question is given below:

Q: Construct a finite state automaton which recognizes strings over {a, b} which begin with baab or…

A: A Finite State Automaton (FSA), also known as a Finite State Machine (FSM), is a conceptual model in…

Q: Consider two regular languages L1 and L2. Let L1 be infinite while L2 be finite. S: Every subset of…

A: Here in this question we have have given two regular language L1 and K2 .based on this we have asked…

Q: Exercise4: Consider the language L on = {0,1} with L= {w such that w starts with 1and ends with 00}…

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Q: For the language  {a^n | n mod 2=1}, give are gular expression for this language 1  and give a…

A: Tokens' syntax may be described using Regular Expressions. The Context free grammar may describe any…

Q: Draw the state diagram of a FINITE AUTOMATON (not DFA) that accepts the language of all strings over…

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Q: 1. Give a deterministic finite automaton (DFA) which accepts the follow- ing language: L₁ = {u €…

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