GiorgiJaparidze
Theory of Computability
Probabilisticalgorithms
Section10.2
10.2.a
GiorgiJaparidze
Theory of Computability
DefinitionofprobabilisticTuringmachines
Definition 10.3 A probabilistic Turing machine M is a type of nondeterministic TM
in which e
MA513: Formal Languages and Automata Theory
Topic: Properties of Context-free Languages
Lecture Number 29
Date: October 18, 2011
1
Greibach Normal Form (GNF)
A CFG G = (V, T, R, S) is said to be in GNF if every production is of the form
A a, where a T and
A
L TEX Mini-Tutorial
A
This is a very brief introduction to using the free L TEX typesetting system. It is assumed that you have installed
A X system such as MiKTeX for Windows (available at http:/miktex.org), though the general
a typical L TE
A
ideas ap
Beamer Tutorial
A Beamer Tutorial in Beamer
Charles T. Batts
April 4, 2007 Department of Computer Science The University of North Carolina at Greensboro
Foundations of Computer Science
Beamer Tutorial Outline
Outline
1 2 3 4 5 6 7 8 9 10 11 12 13 14
About
MATH 433
Applied Algebra
Lecture 5:
Chinese remainder theorem.
Fermats little theorem.
Eulers theorem.
Congruence classes
Given an integer a, the congruence class of a
modulo n is the set of all integers congruent to a
modulo n: [a]n = cfw_a + nk : k Z.
T
Homework 6 Answers
CS 321
1. Give push down automata for the following languages:
(a) [7.1.4(c)] L = cfw_an bm cn+m : n 0, m 0.
Solution:
Idea: Push all as on the stack, one for each a. When bs start showing up, push a B
for each b, and when cs start, pop
Solution to CS375 Homework Assignment 10 (40 points)
Due Date: Apr.25th, 2012
1. Find a context-free grammar for the given language over the alphabet cfw_a, b: cfw_an bn+2 | n 0
(10 points).
Solution: S aSb | bb
2. Find a context-free grammar for the give
Theory of Algorithms. Spring 2000. Homework Solutions 8.
Section 7.2 The Equivalence of NPDAs and Context-Free Grammars.
(1) Let G be the following context-free grammar, with V = cfw_S, B, C , T = cfw_a, b, c.
S aSbbB | C |
B b|
C Cc | c
(a) Find an npda
Homework Four Solution CSE 355
Due: 29 March 2012
Please note that there is more than one way to answer most of
these questions. The following only represents a sample solution.
Problem 1: Linz 5.1.23 and 6.2.4
5.1.23: Find a context-free grammar for the