Question: Exercise 1. (5 points) Let M-(Q, , , q0,F) be a DFA. Let q Q. Prove that if there exists a computation trace of M

Exercise 1. (5 points) Let M-(Q, , , q0,F) be a

Exercise 1. (5 points) Let M-(Q, , , q0,F) be a DFA. Let q Q. Prove that if there exists a computation trace of M with length at least |Ql, then there exists a computation trace with length at most Ql whose end state is a repeated state. (Hint: Given a computation trace ro, 81,T1, ,Tn, consider the minimum, if it exists, of the set j there exists i such that i

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 Databases Questions!

Definitions Suppose M = (Q, , , q0, F) is a DFA, as defined by Sipser. Given state p Q and input string x , let (p, x) denote the state that we reach, if we start in state p and then read string x....

1. Let M = (Q, 1,8,90, F) be a DFA, and let 5* : Q * I* + Q be the extended transition function defined recursively during class. Using rigorous mathematical argumentation, prove by induction on...

Problem 6 (20 points). Let A = (Q, 9, 8, 90, F) be a DFA, where there exists a character ae that for all q e Q we have (q, a) = q, i.e. every state in A has a back-edge (loop back) for a. such a....

this is a computer science question Problem 6 (20 points). Let A = (Q, 9, 8, 90, F) be a DFA, where there exists a character ae that for all q e Q we have (q, a) = q, i.e. every state in A has a...

1. (10 points) Let L1 and L2 be regular languages. Construct an NFA to recognize the language L defined below Give a brief justification as to why your NFA is correct 1 = {w E {0,1). I either(w E L1...

This is a Project that I need help on ASAP. Any help is great and will be getting a thumbs up You are to follow the scenario and come up with your own project details for 1-7 and then with the...

Hello. Kindly solve these 5. Consider a market for used cars, where there are 300 lemons and 600 peaches. Buyers value peaches at $12,000 and lemons at $6,000. (a) If all cars (lemons and peaches)...

QUIZ... Let D be a poset and let f : D D be a monotone function. (i) Give the definition of the least pre-fixed point, fix (f), of f. Show that fix (f) is a fixed point of f. [5 marks] (ii) Show that...

re Regular Languages and Finite Automata (a) Let L be the set of all strings over the alphabet {a, b} that end in a and do not contain the substring bb. Describe a deterministic finite automaton...

For monotone functions f, f0: P Q between posets (P, vP ) and (Q, vQ), let f v f(i) Prove that the binary relation v is a partial order. [3 marks] (ii) For monotone functions between posets p : P 0...

The length of time a system is down (that is, broken) is described (approximately) by the probability distribution in Table 7.6.2. Assume that these downtimes are exact. That is, there are three...

Consider the following planes. -3x+y+z = 3 15x - 5y + 3z = 9 Find a set of parametric equations for the line of intersection of the planes. (Use t for the parameter. Enter your answers as a...

Which of these actess roles would you assign to the internal audit manager of a public company? Administration Read - only Creator Manager

Given: $20,000 4-year, non-interest note accepted for services on 1/1/01. Yield 6%. Principal collected $5,000 per year beginning 12/31/01. a. CV on 12/31/01 ($13,365.08) b. Discount balance 12/31/01...

5. As the new HR Director of a company in the behavioral health industry, you have the responsibility to develop a performance management system. You need to present a business case to senior...

2. Suppose you are a supervisor. What errors might you make when preparing the performance appraisal on a clerical employee? How might you avoid those errors?

3. Ratings, rankings, and other approaches used to assess employees job performance are always subject to discussion and debate. Managers need to understand the current applications associated with...