Question: Consider the language L whose strings are binary encodings (leading zeroes are ignored) of multiples of 17. L contains, 0, 00, 10001, 000010001, but not

Consider the language L whose strings are binary encodings (leading zeroes are ignored) of multiples of 17. L contains, 0, 00, 10001, 000010001, but not 10, 11, 0001. Prove that L is regular.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Consider the language L whose strings are binary encodings (leading zeroes are ignored) of multiples of 17. L contains , 0, 00, 10001, 000010001, but not 10, 11, 0001. Prove that L is regular.

In a Hopfield neural network configured as an associative memory, with all of its weights trained and fixed, what three possible behaviours may occur over time in configuration space as the net...

Briefly describe ASCII and Unicode and draw attention to any relationship between them. [3 marks] (b) Briefly explain what a Reader is in the context of reading characters from data. [3 marks] A...

Suppose that R(A, B, C) is a relational schema with functional dependencies F = {A, B C, C B}. (i) Is this schema in 3NF? Explain. [2 marks] (ii) Is this schema in BCNF? Explain. [2 marks] (b)...

ccn2 java solve them all . . . r2 e1 e2 box r2 Write sound typing and subtyping rules for these constructs. [5 marks] Now suppose that we add to this calculus the type variables and bounded universal...

ccm1 java attend all . . . r2 e1 e2 box r2 Write sound typing and subtyping rules for these constructs. [5 marks] Now suppose that we add to this calculus the type variables and bounded universal...

2. (10 points) Consider the function from {0,1} to {a, b} given by h(0) = b, h(1) a. We can extend h to operate on strings by defining h(w) = h(w)h(w2) h(wn) where w-w! wn and each wi e {0, 1} For...

Write an alternative definition that is tail-recursive (iterative) and makes use of accumulator variables. [10 marks] Explain why your alternative definition executes more efficiently. [3 marks] 1...

2. Show that the class of regular languages over the alphabet 10, is closed under the operation ADDBIT(A) (0,1) o A or in other words. ADDBIT(A) s the language of all words in A that are the result...

2. Show that the class of regular languages over the alphabet 0,1) is closed under the operation Reverse(L), defined as Reverse(L)= {w | w"e L} A full proof would have three stages: setup,...

Mattel, one of the largest toy manufacturers in the world, is a global organization. Review Mattel's web site, and the section for Investors (annual report and 10K), plus any recent news articles you...

Assume the variables city and province exist. Create a new variable location that formats city and province as you would in an address. For example, if city = 'Toronto' and province = 'ON', then the...

S Corporations reports income and expenses, compute tax using a flat rate of 2 1 percent and can claim a deduction for qualified business income a . True b . False

Please describe the decision-making process that you followed to make the ethical decision presented in the simulation. Please be sure to: describe how you investigated the ethical issue, define the...