Question

# For Automata class: Let L be a regular language over the binary alphabet. Consider the following...

For Automata class:

Let L be a regular language over the binary alphabet. Consider the following language over the same alphabet: L' = {w | |w| = |u| for some u ∈ L}. Prove that L' is regular.

------------------------

L is regular, there is a DFA D that accepts the language L

For each transition in DFA having

A -> B on symbol x

Change it to have each and every symbol in the alphabet

``````For example if A -> B is on 0
Alphabet is {0, 1}

Make it like
A -> B on 0
A -> B on 1
``````

This way we have an NFA now which accepts the language L0.

So, L0 is regular.

------------------------------------------------------------------------------------------------------------

Note : Please thankful the answer, if you like it, as it would be of great help to me..!!

------------------------------------------------------------------------------------------------------------

#### Earn Coins

Coins can be redeemed for fabulous gifts.

##### Need Online Homework Help?

Most questions answered within 1 hours.

##### Active Questions
• XYZ is a calendar-year corporation that began business on January 1, 2017. For 2018, it reported...
• Although aging and death are realities that all individuals have to deal with at some point...
• Implement the following functions with AVR assembly language 1) 2-byte addition (i.e, addition on 16-bit numbers)...
• Assume you have a chemical compound (HA) that is a weak acid which changes color upon...
• A company has two divisions. The first division consists of project management and generated \$4,523,367 of...
• Practice Quiz 1 Use the following information to answer questions 1 through 5.                              &