Login
Register
@
Dark Mode
Profile
Edit my Profile
Messages
My favorites
Register
Activity
Q&A
Questions
Unanswered
Tags
Subjects
Users
Ask
Previous Years
Blogs
New Blog
Exams
Dark Mode
Michael Sipser Edition 3 Exercise 1 Question 73 (Page No. 93)
admin
asked
in
Theory of Computation
Apr 30, 2019
180
views
0
votes
0
votes
Let $\sum = \{0,1, \#\}.$ Let $C = \{x\#x^{R}\#x| x\in\{0,1\}^{*}\}.$Show that $\overline{C}$ is a $\text{CFL}.$
michael-sipser
theory-of-computation
context-free-language
proof
descriptive
admin
asked
in
Theory of Computation
Apr 30, 2019
by
admin
180
views
answer
comment
Follow
share this
share
0 Comments
Please
log in
or
register
to add a comment.
Please
log in
or
register
to answer this question.
0
Answers
← Previous
Next →
← Previous in category
Next in category →
Related questions
0
votes
0
votes
0
answers
1
admin
asked
in
Theory of Computation
Apr 30, 2019
321
views
Michael Sipser Edition 3 Exercise 1 Question 72 (Page No. 93)
Let $M_{1}$ and $M_{2}$ be $\text{DFA's}$ that have $k_{1}$ and $k_{2}$ states, respectively, and then let $U = L(M_{1})\cup L(M_{2}).$ Show that if $U\neq\phi$ then $U$ contains some string $s,$ where $|s| < max(k1, k2).$ Show that if $U\neq\sum^{*},$ then $U$ excludes some string $s,$ where $|s| < k1k2.$
admin
asked
in
Theory of Computation
Apr 30, 2019
by
admin
321
views
michael-sipser
theory-of-computation
finite-automata
regular-language
proof
descriptive
2
votes
2
votes
2
answers
2
admin
asked
in
Theory of Computation
Apr 30, 2019
497
views
Michael Sipser Edition 3 Exercise 1 Question 71 (Page No. 93)
Let $\sum = \{0,1\}$ Let $A=\{0^{k}u0^{k}|k\geq 1$ $\text{and}$ $u\in \sum^{*}\}.$ Show that $A$ is regular. Let $B=\{0^{k}1u0^{k}|k\geq 1$ $\text{and}$ $u\in \sum^{*}\}.$Show that $B$ is not regular.
admin
asked
in
Theory of Computation
Apr 30, 2019
by
admin
497
views
michael-sipser
theory-of-computation
finite-automata
regular-language
proof
descriptive
0
votes
0
votes
1
answer
3
admin
asked
in
Theory of Computation
Apr 30, 2019
486
views
Michael Sipser Edition 3 Exercise 1 Question 70 (Page No. 93)
We define the $\text{avoids}$ operation for languages $A$ and $B$ to be $\text{A avoids B = {w| w ∈ A and w doesn’t contain any string in B as a substring}.}$ Prove that the class of regular languages is closed under the ${avoids}$ operation.
admin
asked
in
Theory of Computation
Apr 30, 2019
by
admin
486
views
michael-sipser
theory-of-computation
finite-automata
regular-language
proof
descriptive
1
vote
1
vote
0
answers
4
admin
asked
in
Theory of Computation
Apr 30, 2019
335
views
Michael Sipser Edition 3 Exercise 1 Question 69 (Page No. 93)
Let $\sum=\{0,1\}.$ Let $WW_{k}=\{ww|w\in \sum^{*}$ and $w$ is of length $k\}.$ Show that for each $k,$ no DFA can recognize $WW_{k}$ with fewer than $2^{k}$ states. Describe a much smaller $NFA$ for $\overline{WW_{k}},$ the complement of $WW_{k}.$
admin
asked
in
Theory of Computation
Apr 30, 2019
by
admin
335
views
michael-sipser
theory-of-computation
finite-automata
proof
descriptive
Subscribe to GATE CSE 2024 Test Series
Subscribe to GO Classes for GATE CSE 2024
Quick search syntax
tags
tag:apple
author
user:martin
title
title:apple
content
content:apple
exclude
-tag:apple
force match
+apple
views
views:100
score
score:10
answers
answers:2
is accepted
isaccepted:true
is closed
isclosed:true
Recent Posts
Post GATE 2024 Guidance [Counseling tips and resources]
GATE CSE 2024 Result Responses
[Project Contest] Pytorch backend support for MLCommons Cpp Inference implementation
Participating in MLCommons Inference v4.0 submission (deadline is February 23 12pm IST)
IIITH PGEE 2024 Test Series by GO Classes
Subjects
All categories
General Aptitude
(3.5k)
Engineering Mathematics
(10.4k)
Digital Logic
(3.6k)
Programming and DS
(6.2k)
Algorithms
(4.8k)
Theory of Computation
(6.9k)
Compiler Design
(2.5k)
Operating System
(5.2k)
Databases
(4.8k)
CO and Architecture
(4.0k)
Computer Networks
(4.9k)
Artificial Intelligence
(79)
Machine Learning
(48)
Data Mining and Warehousing
(25)
Non GATE
(1.4k)
Others
(2.7k)
Admissions
(684)
Exam Queries
(1.6k)
Tier 1 Placement Questions
(17)
Job Queries
(80)
Projects
(11)
Unknown Category
(870)
64.3k
questions
77.9k
answers
244k
comments
80.0k
users
Recent Blog Comments
category ?
Hi @Arjun sir, I have obtained a score of 591 in ...
download here
Can you please tell about IIT-H mtech CSE self...
Please add your admission queries here:...
Twitter
WhatsApp
Facebook
Reddit
LinkedIn
Email
Link Copied!
Copy
