Question: Classify the following sets as finite, decidable, regular, context-free, or undecidable, and name the corresponding automata discussed in this course. Justify your answers. (a) {0

Classify the following sets as finite, decidable, regular, context-free, or undecidable, and name the corresponding automata discussed in this course. Justify your answers.

(a) {0m1n | m n}

(b) 11*(0|11)*

(c) binary representations of prime numbers

(d) { (P, x) | P is the code for an S -language program that goes into an infinite loop on input x }

(e) sets of balanced parentheses

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!

Q:

1. How would you show conclusively that a certain graphics library, G2, has all the functionality of graphics library G1? 2. Describe two transition-system models of computation and one model that...

Q:

Theory of Computation 1. How would you show conclusively that a certain graphics library, G2, has all the functionality of graphics library G1? 2. Describe two transition-system models of computation...

Q:

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...

Q:

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...

Q:

In this question you will be asked to reflect on a project you have been involved in or observed, in which a design evolved, or could have evolved, through applying a theory of user behaviour. You...

Q:

Consider the trigonometric series a0 2 + X r=1 (ar cos rx + br sin rx) where a0, a1, a2, . . . and b1, b2, . . . are constants and suppose that f(x) is a periodic function of x with period 2. (a)...

Q:

Explain why, on a busy system, key press echoes might be delayed when a high-priority user interacts with a low-priority application. Propose a solution, describing how each of the above system calls...

Q:

Provide solution to the following programming questionS. Software systems often incorporate structural representations of the application domain in which they operate. For example, a vehicle control...

Q:

Developments in Technology Light is incident from air on the end face of a multimode optical fibre at angle of incidence as shown below. n n 1 2 The refractive indices of the core and cladding are...

Q:

A discrete sequence {xn} can be converted into a continuous representation x(t) = ts X n= (t n ts) xn, where ts is the sampling period. (a) State two characteristic properties of Dirac's function. [2...

Q:

Considering the different tasks a salesperson must perform how is the job different for an automobile salesperson and a representative selling a computer system?

Q:

What is the purpose of a statement of cash flows? What information does it provide? Identify at least one type of stakeholder that would be interested in the information on a companys statement of...

Q:

What is Power BI ? A video game developed by Microsoft A social media platform for sharing photos and videos A programming language used for web development Microsoft's flagship BI tool for data...

Q:

Which of the following are problems with identifying users of ABC? Multiple select question. ABC means different things to different organizations. Organizations will announce the discontinuance of...

Q:

3. Imagine that, as an employer, you were no longer able to pay your staff. How would you motivate them?

Q:

4. What can an organisation do to ensure that its workers are fully engaged?

Q:

1. How might volunteering help the employer and the employee?