Let Σ = {0,1} and let D = {w| w contains an equal number of occurrences of the substrings 01 and 10}. Thus 101 ∈ D because 101 contains a single 01 and a single 10, but 1010  not belong to D because 1010 contains two 10s and one 01. Show that D is a regular language.

Q: Prove that the following language A is decidable (e.g., give a TM that decides A). A = {⟨M⟩ | M is…

A: We will prove that language A = {⟨M⟩ | M is an NFA and L(M) = B}, where B is a regular language, is…

Q: If the languages are regular, give an automaton. Otherwise, show it is not regular by using pumping…

A: Below is the complete solution with explanation in detail for the given question about the proof…

Q: Suppose that L is a language on a set A, and that L is finite. Then L is regular.

A: A group of languages is said to be closed under an operation if the result of applying the operation…

Q: Let L be the language L={ 0n1m | n≠(m-7) } over the alphabet Σ={0,1}. Prove that L is not regular…

A: Given: Let L be the language L={ 0n1m | n≠(m-7) } over the alphabet Σ={0,1}. Prove that L is not…

Q: Extra Credit: Given any language A, let A₁ = {x | for some y, |x| = |y| and xy = A}. Prove that the…

A: Closure Properties• Recall that we can carry out operations on one or more languages to obtain a new…

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: If A is any language, let ?− 1 2 be the set of all first halves of strings in A so that ?− 1 2 = (x…

A: Any language that can be demonstrated in the form of regular expressions is said to be a language of…

Q: Prove that upside-down regular expressions without complement operation cannot describe all regular…

A: The answer as given below:

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: A = {d'b?"\n > 0}. п

A: Pumping lemma is used to show that certain languages are not regular. It should never be used to…

Q: Let L be the language over the unary alphabet Σ = {1}consisting of all strings whose length is the…

A: Step1 take the string of the langauge which is greater than or equal to n Step2 : verify all…

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 Z={a,b,c}. Show that (b) The set of all languages over Σ is uncountable

A: We need to prove the set of all languages over sigma is uncountable.

Q: Let FH be the set of first halves of the strings in A. FH = {x | xy ∈ A} for some y, and |x| = |y|.…

A:

Q: Let L be the language L={ 0n1m | n≠(m-7) } over the alphabet Σ={0,1}. Prove that L is not regular…

A: Let L be the language L={ 0n1m | n≠(m-7) } over the alphabet Σ={0,1}. Prove that L is not regular…

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

A: Answer :-

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: If A is any language, let A 1/3 – 1/3 be the set of all strings in A with their middle thirds…

A: the answer is given below:-

Q: Let I={a,b,c}. Show that (a) Σ* is countable (b) The set of all languages over Σ is uncountable

A: Given that:

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

Bare bones programming language

Bare bones programming language is a low-level programming language that gives a detailed stepwise description of a program. It has a tight program design and in-depth understanding of the toolchain. It is based on the target environment and is used for safe coding practices. C programming language is a type of bare bones programming language.