This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Finite Automata and Theory of Computation October 4, 2007 Handout 11: Homework 5 Professor: Moses Liskov Due: October 18, 2007, in class. Problem 1 For each language, determine if that language is contextfree or not, and prove your answer. (a) L 1 = { w  w = w R and w contains an equal number of 0s and 1s } . (b) L 2 = { a 1 b 2 c  a 6 = b or a 6 = c } . Problem 2 Prove that the language { #0 n #0 m #0 l #  l = mn } is Turingrecognizable by giving a detailed description of a Turing machine that accepts it, and proving that your construction works. Give your Turing machine as an algorithm. Problem 3 Prove that the language { #0 n #  n is a prime number } is Turingrecognizable by giving a description of a Turing machine that accepts it, and proving that your construction works. Give your Turing machine as an algorithm. Problem 4 A Turing machine with doublyinfinite tape is similar to an ordinary TM, except that there is no left edge of the tape. Initially, the head is positioned over the first symbol of the input;is no left edge of the tape....
View
Full
Document
This note was uploaded on 01/25/2011 for the course CSE 105 taught by Professor Mr.elienasr during the Spring '10 term at American University of Science & Tech.
 Spring '10
 Mr.ElieNasr

Click to edit the document details