Question: [38] A k-head PDA (k-PDA) is similar to a pushdown automaton except that it has k input heads. Prove that k + 1 heads are

[38] A k-head PDA (k-PDA) is similar to a pushdown automaton except that it has k input heads. Prove that k + 1 heads are better than k heads for PDAs. That is, prove that there is a language that is accepted by a (k + 1)-PDA but not by any k-PDA.

Comments. Conjectured by M.A. Harrison and O.H. Ibarra [Inform.

Contr., 13(1968), 433–470] in analogy to Exercise 6.9.1.

Partial solutions were obtained by S. Miyano [Acta Informatica, 17(1982), 63–67;

J. Comput. System Sci., 27(1983), 116–124]; and M. Chrobak [Theoret. Comput. Sci., 48(1986), 153–181]. The complete solution, using incompressibility, is in [M. Chrobak and M. Li, J. Comput. System Sci., 37:2(1988), 144–155].

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 Elementary Probability For Applications Questions!

[28] A k-head deterministic finite automaton, abbreviated kDFA, is similar to a deterministic finite automaton except that it has k, rather than one, one-way read-only input heads. In each step,...

The Basics of Financial Mathematics Spring 2003 Richard F. Bass Department of Mathematics University of Connecticut c These notes are 2003 by Richard Bass. They may be used for personal use or class...

Drawing upon suitable theoretical models, analyze the type of HRM system operating within Socit de transport de Montral. Employ critical evaluation to assess the overall HRM approach adopted by...

What kind of HRM system/model is in place at Socit de transport de Montral? Feel free to use any relevant HRM system/model with critical analysis and back your argument with academic sources. (Case...

A k-head pushdown automaton (k-PDA) is a deterministic pushdown automaton with k read only, two-way input heads and a read/write stack. Define the class PDA k = {A| A is recognized by a k-PDA}. Show...

CENG491 Homework 4.3 [1] 1. (20pts) Let a k-PDA be a pushdown automaton that has k stacks. Thus a 0-PDA is an NFA and a 1-PDA is a conventional PDA. You already know that 1-PDAs are more powerful...

thats all I have heel to be the most effective way of completing this assignment. Use the attached Conch Republic Spreadsheet to help you. Conch Republic Electronics Conch Republic Electronics is a...

Conch Republic Electronics is a mid sized electronics manufacturer located in Key West, Florida. The company president is Shelley Couts, who inherited the company. When it was founded over 70 years...

Let a k-PDA be a pushdown automaton that has k stacks. Thus a 0-PDA is an NFA and a 1-PDA is a conventional PDA. You already know that 1-PDAs are more powerful (recognize a larger class of languages)...

Let k-PDA be a PDA with k stacks. Thus, a 0-PDA is an NFA and a 1-PDA is equivalent to a CFG. Show that 2-PDA is Turing-Complete.

Do competitive markets use resources efficiently? Explain why or why not.

Salvo Inc., a specialized equipment manufacturer, uses a job order costing system. The overhead is allocated to jobs on the basis of direct labor hours. The overhead rate is now $ 1,500 per direct...

if a company's cost structure shifts to a higher proportion of fixed costs as compared to the prior year, what will occur the break even point will increase total profit will decline the margin of...

a. Financial statements should aid the user of the statements in making decisions. In your opinion, would the user of the statements be aided if there were a distinction between financial reporting...