Show that the language {M: M is a Turing machine with L(M) to be a finite set} is undecidable. You need to establish its connection to Atm={| Turing machine M accepts input w}

Q: Use a direct proof technique to prove the following theorems:   For all integers x and y, x2 + y2 −…

A:

Q: We say that a Turing machine is verbose on s if, at the completion of its computation on s, it…

A: Required : proof for undecidable by reduction.

Q: 8. Let Σ; be alphabets for i = 1, 2, 3, and L; C Σ;, i = 1, 2, 3 be three languages. Prove that (a)…

A:

Q: The ff. descibes a (1) A finite set Q of states; (2) An initial state qo e Q; (3) A finite set E of…

A: Turing Machine is formally described in 7 tuple. "A TM can be formally described as a 7-tuple (Q, X,…

Q: language L = {a i b j c k | i 6= j, j 6= k, i 6= k}; it is not a context- free language. Show that…

A: Given : L = {a i b j c k | i == j, j== k, i == k};

Q: What is the time complexity of the Dynamic Programming Algorithm in the last example of the relevant…

A: In dynamic programming, the time taken by the algorithm to run completely is defined as the product…

Q: The language L = { 1" | n is not a prime number} is a regular language. Ο Τ OF

A: There is one language given as follows, L =  {1^n | n is not a prime number} We need to check that…

Q: Q2. Consider the problem of determining whether a two-tape Turing machine ever writes a nonblank…

A: Turing Machine which refers to the machine that it is used to accept Recursive Enumerable Languages…

Q: whether or not L is empty

A: Using the pumping lemma to defined the L is not emply

Q: L+Ø, and L2022 L2023 and Lº + L - your answer. hat for every non-empty language L over an alphabet…

A:

Q: If P = aabaab and = {a, b}, give a deterministic finite automaton for L(P), that is, the language of…

A: ### 1. Understanding the ProblemWe need a DFA such that it accepts any string that contains "Ababa"…

Q: A language L over an alphabet Σ is co-finite, if Σ∗ \L is empty or finite. Let COFNFA = {〈N 〉|N is a…

A: given A language L over an alphabet Σ is co-finite, if Σ∗ \L is empty or finite. LetCOFNFA = {〈N 〉|N…

Q: For a Turing machine M, (M) refers to the binary representation of M. For a Turing machine M, L(M)…

A: ForL is unrecognizable, condition is that  there is no Turing machine that can take decisions  in L.…

Q: Q2. Consider the problem of determining whether a two-tape Turing machine ever writes a nonblank…

A: ANSWER:-

Q: Prove that the language L over {a,b,c}",given by L= {wcv: |w\a = [vl6} is recursive. You must…

A: The language Lover (a,b,c} *, given by L = {wev: [wla = [vlo} is recursive. A Turing machine that…

Q: Check using an algorithm whether the following Language L (given with CFGS) is finite of not L(G) =…

A: Answer to the above question is in step2.

Q: not L is empty, we need only test at most (3n − 1)/2 strings.

A: Determined the given language L is not  empty

Q: The set of binary strings that when interpreted as a number in binary - are divisible either by 2 or…

A: To construct the DFA for either divisible by 2 and 3 ,first construct dfa for divisible by 2 and…

Q: Find with proof every graph G for which ex(n, G) is defined for all positive integers n and there…

A: These question answer is as follows,

Q: Let L be a language defined over {a,b}* and recognizable by a finite automaton. The language Reverse…

A: Hello Student, hope you are doing well, I will be trying my best to explain and fulfill your query.…

Q: eterministic finite automaton for a regular expression: ((b(abab)+)*|(a[ab]?)*) Apply the algorithm,…

A: Task : Given the regular expression : ((b(abab)+)*|(a[ab]?)*)

Q: Let L be a language over the alphabet Σ = {a,b,c}. Prove that L = {abman for any positive integers n…

A: Regular language is a language which can be expressed using a regular expression or using finite…

Q: Can we make a graph of a Turing machine like we do for FSM's suprising?

A: A TM is expressed as a 7-tuple (Q, T, B, ∑, δ, q0, F) where: Q is a finite set of states T is the…

Q: B: Is the following language decidable? If yes, give the outline of the Turing machine to solve it?…

A: ANSWER:- FOR SOLUTION SEE STEP NO. 2

Q: Prove that the language {0^ n 1^ m |n<= m} is not regular.?

A: We are going to prove that the given language is not regular.

Q: Show that the language L {w e {a,b}*: n(w) n(w) + 2} is not linear. %3D

A: Answer is given below:-

Q: z||y is concatenation of We say that two “famili

A: Given 1 Preface 1. xlly is concatenation of two strings. 2. We say that two "families" of…

Q: Question 2 Let L be the language L-(anbmen | (3n+n)>m) over the alphabet Z-(a.b.c). Prove that Lis…

A: Given Language : L = {a3nbmcn  |  3n+n&gt;m} Alphabet Set = {a,b,c} String of Language : The…

Q: Give a deterministic finite automaton (DFA) that recognizes language L.

A: DFA means the transition is deterministic. That is each state transit to only one state on an input.…

Q: Convert the regular expression a = a(bbbua')U(ab’u ba)a into a Finite Automaton A such that L(a) =…

A: Here, we are going to convert the regular expression into a finite automata A which is equivalent to…

Q: Build a PM that accepts the language of all words that have an a as the middle letter: (These words…

A: 1)The Language that accepts all the words that have an a as the middle letter is: waw' where w and…

Q: Suppose I is a non empty regular language, over Σ, such that every w E L satisfies [w] = k, for some…

A: Given that, non-empty regular language L over the alphabet Σ such that every string w in L satisfies…

Q: Consider the language L = {a'b'c* | i # j,j # k, i # k}; it is not a context- free language. Show…

A: Pumping lemma for CFL is used to prove the language is not cfl using some valid string s.  Never use…

Q: Prove that the Independent Set Problem is NP-complete by showing it is polynomially reducible from…

A: There will be two parts: show that Independent Set (IS) is in NP show that IS is NP-Hard.

Q: [Undecidability and Reductions] OVERLAPPING = {{M, D) : | M is a Turing Machine and D is a DFA such…

A: A reduction from ATM to Overlapping is : Input : &lt;M,w&gt; Create a DFA D which accepts only one…

Q: The following question is given: Use the Pumping Lemma with length to prove that the following…

A: here, I have to choose an option for the above question.

Q: Prove the language L = { |M accepts w in less than 10 steps } is Turing decidable. Note: solution in…

A: A language is Turing decidable, if some Turing machine decides it. What does decides mean ? A…

Q: For each of the following strings specify whether or not it is accepted/recognized by M3.

A:

Q: A: Is the following language decidable? If yes, give the outline of the Turing machine to solve it?…

A: ANSWER:- FOR SOLUTION SEE STEP NO. 2

Q: onsider a language which is the set of strings of 0's and l's with no nsecutive 0's. For Eg., String…

A: Non deterministic finite automata for the given language

Q: Give a decision procedure (algorithm) to answer the question: Given a finite automaton M, is L(M)…

A: In this question we have to answer a question with the decision procedure algorithm where are given…

Q: . The set of binary numbers has 0's in all even positions. Σ= {0,1}.

A: Given :  From the above description, we can say the language contains a set of all strings that can…