100% Original, Plagiarism Free, Tailored to your instructions

Order Now!

Theory of Computation (CS 320)

? Have your written solutions ready at the beginning of class. Only if you cannot attend class, please e-mail your solutions to the instructor at LT.CS320@yahoo.com before 6:30 p.m. on the date due.
? You are allowed ? and even encouraged – to work with other students, as well as to use textbooks and resources from the Internet, to solve these problems. However, your write-up must be your own and you must understand your answers. Inability to explain what you have written may result in losing credit for the homework assignment, and is likely to also result in poor performance on the exam.

Maximum score: 50 points

1. Recall that a grammar is defined as G = (V, T, S, P) where V is the set of variables, T is the set of terminal (alphabet) symbols, S is the start symbol (one of the variables), and P is the set of production rules. Suppose that a password for a website is comprised of only letters from {a, b, c} and digits from {1, 2, 3} and must contain at least one such letter and one such digit (but in no particular order). Devise a grammar that generates the language of passwords accepted by this website.

2. Recall that a deterministic finite automaton (DFA) is defined as (Q, S, d, q0, F) where Q is the set of states, S is the input alphabet, d is the transition function, q0 is the start state, and F is the set of final (accepting) states. Design a DFA that accepts the language in question 1. (Hint: perhaps use a case-based state design similar to the example discussed in class for a DFA that accepts strings with an even number of 0?s and odd number of 1?s.)

3. Last week, we proved that if w1 and w2 are words, then (w1 w2)R = w2R w1R. Prove a similar result for languages, namely that if L1 and L2 are languages, then (L1 L2)R = L2R L1R. (Hint: to prove that two languages are equal, you must show that every element of the first language is an elements of the second language, and every element of the second language is an element of the first language.)

4. Find grammars for these languages:
a. L = {an where n is even and n = 0}
b. L = {an where n is odd and n = 1}
c. L = {an where n is even and n = 3}

5. Find the respective languages accepted by the following two machines:

Our Service Charter

  1. Excellent Quality / 100% Plagiarism-Free

    We employ a number of measures to ensure top quality essays. The papers go through a system of quality control prior to delivery. We run plagiarism checks on each paper to ensure that they will be 100% plagiarism-free. So, only clean copies hit customers’ emails. We also never resell the papers completed by our writers. So, once it is checked using a plagiarism checker, the paper will be unique. Speaking of the academic writing standards, we will stick to the assignment brief given by the customer and assign the perfect writer. By saying “the perfect writer” we mean the one having an academic degree in the customer’s study field and positive feedback from other customers.
  2. Free Revisions

    We keep the quality bar of all papers high. But in case you need some extra brilliance to the paper, here’s what to do. First of all, you can choose a top writer. It means that we will assign an expert with a degree in your subject. And secondly, you can rely on our editing services. Our editors will revise your papers, checking whether or not they comply with high standards of academic writing. In addition, editing entails adjusting content if it’s off the topic, adding more sources, refining the language style, and making sure the referencing style is followed.
  3. Confidentiality / 100% No Disclosure

    We make sure that clients’ personal data remains confidential and is not exploited for any purposes beyond those related to our services. We only ask you to provide us with the information that is required to produce the paper according to your writing needs. Please note that the payment info is protected as well. Feel free to refer to the support team for more information about our payment methods. The fact that you used our service is kept secret due to the advanced security standards. So, you can be sure that no one will find out that you got a paper from our writing service.
  4. Money Back Guarantee

    If the writer doesn’t address all the questions on your assignment brief or the delivered paper appears to be off the topic, you can ask for a refund. Or, if it is applicable, you can opt in for free revision within 14-30 days, depending on your paper’s length. The revision or refund request should be sent within 14 days after delivery. The customer gets 100% money-back in case they haven't downloaded the paper. All approved refunds will be returned to the customer’s credit card or Bonus Balance in a form of store credit. Take a note that we will send an extra compensation if the customers goes with a store credit.
  5. 24/7 Customer Support

    We have a support team working 24/7 ready to give your issue concerning the order their immediate attention. If you have any questions about the ordering process, communication with the writer, payment options, feel free to join live chat. Be sure to get a fast response. They can also give you the exact price quote, taking into account the timing, desired academic level of the paper, and the number of pages.

Excellent Quality
Zero Plagiarism
Expert Writers

Instant Quote

Single spaced
approx 275 words per page
Urgency (Less urgent, less costly):
Total Cost: NaN

Get 10% Off on your 1st order!