Purchase Solution

Automata and Computability

Not what you're looking for?

Ask Custom Question

Consider the language B = L (G), where G is the grammar given in Exercise 2.13 (page 121). The pumping lemma for context-free languages, Theorem 2.19 (page 115), states the existence of a pumping length p for B. What is the minimum value of p that works in the pumping lemma? Justify your answer.

Attachments
Purchase this Solution
Solution Summary

The expert examines automata and computability for pumping length.

Solution Preview

Solutiuon.
Recall that the minimum pumping length is the smallest positive integer l so that all words w of length at least l can be pumped with this pumping length, meaning that

w = uvxyz, |vy| > 0, |vxy| ≤ l , uvixyiz ? L for i = 0, 1, ...

The procedure is to start trying to pump the shortest words until we seem able
to pump everything, and then make the general ...

Purchase this Solution
Free BrainMass Quizzes
C# variables and classes

This quiz contains questions about C# classes and variables.

Java loops

This quiz checks your knowledge of for and while loops in Java. For and while loops are essential building blocks for all Java programs. Having a solid understanding of these constructs is critical for success in programming Java.

C++ Operators

This quiz tests a student's knowledge about C++ operators.

Basic UNIX commands

Use this quiz to check your knowledge of a few common UNIX commands. The quiz covers some of the most essential UNIX commands and their basic usage. If you can pass this quiz then you are clearly on your way to becoming an effective UNIX command line user.

Javscript Basics

Quiz on basics of javascript programming language.

View More Free Quizzes
Related BrainMass Solutions

  • Automata and Computability: Example Problem

    This solution discusses automata and computability.

  • Automata and Computability

    (lexicographic ordering of strings), until D() accepts, and then C(x) accepts. The expert examines automata and computability languages.

  • Automata and Computability

    113151 Automata and Computability Let A = (attached) R and S are regular expressions and L(R)  L(S) . Show that A is decidable. Please see the attached file.

  • Automata and Computability

    , C0, D all size ≤ 2n/3 T(n) ≤ T(2n/3) + 3 implies T(n) ≤ O(log n) 25 Relation to other classes Clearly NC P Automata and Computability are featured.

  • Show that the PCP is undecidable over a binary alphabet

    113162 Automata and Computability Show that the PCP is undecidable over a binary alphabet, that is, over the alphabet  = {0,1}. Please see the attached file. The solution provides detailed explanations and answer for the problem.

  • Show that the collection of Turing-recognizable languages is

    113147 Automata and Computability Show that the collection of Turing-recognizable languages is closed under the operations of a. union. b. concatenation. c. star. d. intersection Please see the attached file.

  • Automata and Computability

    Automata and Computability are examined.

  • Automata and Computability

    113574 Automata and Computability Prove that, if A is a regular language, a family of family programs B1, B2, ... exists wherein each Bn accepts exactly the strings in A of length n and is bounded in size by a constant times n.

  • Automata and Computability

    So A NFA is NL-complete Automata and Computability are emphasized.

View More Related Solutions