Explanation Given information: Concept used: It is required to show that the automata shown above are equivalent. If the quotient transition diagram of the two automata are same then the two automata are equivalent. Calculation: For A : 0 − Equivalence classes- Two states are zero equivalent if both are accepting states or both are non-accepting states. Therefore, the 0 − equivalence classes are: { s 0 , s 2 } , { s 1 , s 3 } 1 − Equivalence classes- Two states are 1 − equivalent if and only if they are 0 − equivalent and after input of any symbol, their next state are 0 − equivalent. Therefore, the 1 − equivalence classes are: { s 0 } , { s 2 } , { s 1 , s 3 } 2 − Equivalence classes- Two states are called 2 − equivalent if and only if they are 1 − equivalent and after input of any symbol, their next state are 1 − equivalent. Therefore, the 2 − equivalent classes are: { s 0 } , { s 2 } , { s 1 , s 3 } The transition diagram for the quotient automaton A ¯ is For A ' : 0 − Equivalence classes- Two states are zero equivalent if both are accepting states or both are non-accepting states

5th Edition

ISBN: 9780357097717

Author: EPP

Publisher: CENGAGE L

See similar textbooks

Videos

Question

Chapter 12.3, Problem 7ES

To determine

Are the automata A and A' shown below equivalent?

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 12.3, Problem 6ES

Chapter 12.3, Problem 8ES

Students have asked these similar questions

Question 1. (10 points) A researcher is studying tumours in mice. The growth rate for the volume of the tumour V(t) in cm³ is given by dV = 1.45V(2 In(V+1)). dt (a) (4 pts) Find all the equilibria and determine their stability using the stability condition. (b) (2 pts) Draw the phase plot f(V) versus V where f(V) = V'. You may find it helpful to use Desmos or Wolfram Alpha to plot the graph of f(V) versus V (both are free to use online), or you can plot it by hand if you like. On the plot identify each equilibrium as stable or unstable. (c) (4 pts) Draw direction arrows for the case where the tumour starts at size 3cm³ and for the case where the tumour starts at size 9cm³. Explain in biological terms what happens to the size of each of these tumours at time progresses.

For the system consisting of the two planes:plane 1: -x + y + z = 0plane 2: 3x + y + 3z = 0a) Are the planes parallel and/or coincident? Justify your answer. What does this tell you about the solution to the system?b) Solve the system (if possible). Show a complete solution. If there is a line of intersection express it in parametric form.

added 2 images

Chapter 12 Solutions

DISCRETE MATHEMATICS WITH APPLICATION (

Ch. 12.1 - If x and y are strings, the concatenation of x and...Ch. 12.1 - Prob. 2TY Ch. 12.1 - Prob. 3TY Ch. 12.1 - Prob. 4TY Ch. 12.1 - Prob. 5TY Ch. 12.1 - Prob. 6TY Ch. 12.1 - Prob. 7TY Ch. 12.1 - Use of a single dot in a regular expression stands...Ch. 12.1 - Prob. 9TY Ch. 12.1 - If r is a regular expression, the notation r +...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

Are the automata A ​ and A ' shown below equivalent?

Videos

Are the automata A ​and A' shown below equivalent?

Want to see the full answer?

Chapter 12 Solutions

Are the automata A and A ' shown below equivalent?

Are the automata A and A' shown below equivalent?