13. Show that the language L= {a" :n > 0, n ± 4} is regular.

Q: Prove that the language {a*b"a" | k20, n20} is not regular. Do not use pumping lemma!

A: Here, we have to prove that given language {akbnan | k>=0, n>=0 } is not regular language…

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: Use the Pumping Lemma to prove that the language L= (a"b2n: n >= 0} is NOT context free.

A:

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

A: Here is the solution:-

Q: Prove that there is no language L such that L* = a*b* (use proof by contradiction).

A: The best way to show that L isn't a normal language: PresumingSuppose L is a consistent speech, then…

Q: 042. Prove that the language L= (0"1n*1 |n> 0} is not regular. %3D

A: We are using Pumping Lemma for regular languages to prove given language is not regular.

Q: Give a description of a TM M, that recognizes language D = {w over {0, 1}*| w contains twice as many…

A: Description of Turing machine LanguageD=w over 0,1*| w contains twice as many 0's as 1's The…

Q: The homomorphism h is defined by h(a) = 01 and h(b) = 10. What is h(%%1%%2%%3%%4)?

A: A homomorphism is a mapping h with domain Σ ∗ for some alphabet Σ which preserves concatenation:h(v…

Q: How would I draw a DFA (Determinist Finite Automaton) for the following language? It's possible you…

A: please do upvote for my efforts thanks!   answer:

Q: Construct a graphical representation of DFA that accepts L={w∈(a+b)*: na(w) is even, nb(w)>1} no…

A: Here, the given DFA is L={w∈(a+b)*: na(w) is even, nb(w)>1}The task is to draw the graphical…

Q: Show that L= {a": n>4} is regular. Show that the language L= {a": n> 0,n± 4} is regular.

A: ANSWER:-

Q: 1. Prove that the following language is not regular: {a"b" | (m is a prime) V (n is a prime) } For…

A: Pumping Lemma: For any regular language L, there exists an integer n, such that for all x ∈ L with…

Q: (b) Rewriting the difference of the two languages from part (a), using set-intersection and…

A: I have answered this question in step 2.

Q: Give a regular expression that denotes the language of this automaton. . Show the derivation.

A: An expression that represents a regular language is termed as a regular expression. It consists of…

Q: the language F which contains all natural numbers which are not prime. The numbers in F are called…

A: According to the question, we have to  i. Prove that F is in NP by writing (in pseudo-code) the…

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: 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: Consider the decidable language ALLNFA= {IN is a NFA and N accepts all strings over }. Construct the…

A: Decidable  Some Turing machines never go into an infinite loop, they are always in halt. Turing…

Q: Design in JFLAP a simulator of a finite deterministic automaton that (only) recognizes Even length…

A: Solution: To designing the finite automata for the even length binary number , We know to that 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: show that L= {a^nb^m, n > m} is a deterministic context-free language.

A: To show that the language L = {a^n b^m | n > m} is a deterministic context-free language (DCFL),…

Q: Show that the language L- (a"b*c": n20; kz0) is not regular. Note: Use Pumping lemma

A: We know that the pumping lemma is used as a negativity test to check if the grammar is regular or…

Q: Please Prove whether it is True or False. There are finitely many finite languages.

A: A regular language is composed of finite number of equivalence classes in which the string can be…

Q: Let L be the language defined by the following regular expression 0(0 | 1)∗1(0 | 1)∗ Write 3…

A: The regular phrase 0(0 | 1)*1(0 | 1)* defines the language L. A group of strings with particular…

Q: Create a Deterministic Finite Automaton (DFA) for the language L that is defined over the input…

A: - We have to examine the DFA according to the conditions and remake it if it's wrong.

Q: Q.4: let E= {a, b} and the language L = {b a"b a" |nE{1,2,3,... }}. Check whether the language is…

A: The Answer is in Below Steps

Q: Given the language L = {bamb"a, (ab)", aa: n,m > 0 and h 21}, find the regular expression r such…

A: Regular expression is a linear sequence of symbols and characters that represent the given string or…

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

A: Transition function :  that takes as arguments a state and an input symbol and returns a state.…

Q: Let Σ be the alphabet {a,b}. Let L be the language describe by                     Σ∗ −…

A: Here in this question, it asks us to draw Finite automata the accepts the   Σ∗ − (ε|Σ∗b)aa(ε|bΣ∗)…

Q: consider the language L = {a^f b^g|f<g} on albhabet E = {a,b}. Show that L is not reguar. %3D

A: The answer is