M may be deidable or may be undecidable(recoznizable)
A is always Decidable
Now A and M= (Decidable and decidable ) = ecidable (Recoznizable) i.e Every Decidable is Recoznizable
(Decidable and Undecidable) = Undecidable(Recoznizable)
So L3 is Always Recoznizable.
For Detailed Explained Please see the image ..
Prove formally that L3 is Turing-recognizable, where L3 = {(M, A) | TM M and DFA...
L3 = {(M, A) | TM M and DFA A accept a string in common.} (25) Prove formally that L3, the complement of L3 m not Turing-recognizable. r ton, is
Prove that A is Turing-recognizable if and only if A ≤m ATM.
Q1: Which of the following claims are true?* 1 point The recognizable languages are closed under union and intersection The decidable lanquages are closed under union and intersection The class of undecidable languages contains the class of recognizable anguages For every language A, at least one of A or A*c is recognizable Other: This is a required question Q2: Which of the following languages are recognizable? (Select all that apply) 1 point EDFA-{ «A> 1 A is a DFA and...
3. (20) Give proofs of the following: a. The question: "Given a DFA M and a string w, does M accept w" is decidable. b. Given two Turing-acceptable language Li and L2, the language LtLz is also Turing-acceptable. [D not use non-determinism. Do be sure to deal with cases where a TM might loop.l
19. (1 point) Suppose that L is undecidable and L is recognizable. Which of the following could be false? A. I is co-Turing recognizable. B. I is not recognizable. C. I is undecidable. D. L* is not recognizable. E. None of the above. 20. (2 points) Let ETM {(M)|L(M) = 0} and EQTM = {(M1, M2)|L(Mi) = L(M2)}. We want to show that EQTM is undecidable by reducing Etm to EQTM and we do this by assuming R is a...
Let n be a positive integer. Classify the languages R = { (M) | M is a TM and L(M) contains exactly n strings} S = { (M) | M is a TM and L(M) contains more than n strings} as (a) decidable (b) Turing-recognizable but not co-Turing recognizable (c) co-Turing recognizable but not Turing-recognizable (d) neither Turing nor co-Turing recognizable
Give a unary language (using only input alphabet ∑={1} )that is not Turing- recognizable and prove that statement.
Draw the transition graph of a Standard Turing Machine (TM) that accepts the language: L = {(ba)^n cc: n greaterthanorequalto 1} Union {ab^m: m greaterthanorequalto 0} Write the sequence of moves done by the TM when the input string is w = bab. Is the string w accepted?
please answer a,b, and c Consider the following Turing Machine. M = “On input hA,Bi where A and B are DFAs: 1. Iterate through strings in Σ∗ in shortlex order; where Σ represents the common symbols of their input alphabets. For each string iterated, simulate both A and B on it. 2. If a string is ever encountered that both A and B accept, then accept.” (a) (2 points) Give a description, in English, of the language that M recognizes....
3. Let L-{(M, q》 | M is a Turing machine and q is a state in M such that: there is at least one input string w such that M executed on w enters state q). Side note: In the real world, you can think of this as a question about finding "dead code" in a program. The question is: for a given line of code in your program, is there an input that will make the program execute that...