CS154: Introduction to Automata and Complexity Theory
Autumn 2019
Homework
#2
Due Date:
Tuesday, October 15, 10:30am
Homework Collaboration and Submission:
You may collaborate with others but you
must
:
•
Try to solve the problem by yourself
first
.
•
List your collaborators on each problem.
•
Cite the source of any significant idea that you get from somewhere else.
You must write up your
own
solution to every problem
: you may not copy answers from another student or any
other source (such as the Internet). You should be able to explain and write your solutions all by yourself.
Submit your homework online via Gradescope (gradescope.com) and use the following code for our class:
MX8WVG
.
We encourage you to use LaTeX to compose your solutions.
We suggest that your proofs contain: (1) a oneline phrase with your proof strategy, (2) an informal paragraph outlining
your idea, and (3) the gritty details.
1
(2 points)
Recall the language D
IV
B
Y
6
=
{
x

x
∈ {
0
,
1
}
*
, x
6
=
ε,
and
d
(
x
)
≡
0
mod 6
}
from Homework 1. Give a regular
expression that matches this language, and give a brief justification of why your expression is correct.
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