Question

Do a Push Down Automata for the following language:

L = { binary strings of the form 0^{N}1^{N} for
N >= 1 }

**Show your work please.**

Answer #1

Do a Push Down Automata for the following language:
L = { binary strings of the form w#wR where w is any
binary string and wR is the reverse of w }
Show your work please.

Do a Push Down Automata for the following language:
L = { 0n1m2m3n |
n>=1, m>=1}
Show your work please.

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.

Automata Theory and Formal Languages
Problems 1: Consider the following two
grammars.
Grammar G1- S → aSb / ∈ Grammar G2- S → aAb / ∈, A → aAb / ∈
a. is G1=G2
b. What is the grammar generated by the expression
Problem 2: Let us consider the grammar.
G2 = ({S, A}, {a, b}, S, {S → aAb, aA → aaAb, A → ε } )
Derive aaabbb
Problem 3: Suppose we have the following
grammar.
G: N...

Let S denote the set of all possible finite binary strings, i.e.
strings of finite length made up of only 0s and 1s, and no other
characters. E.g., 010100100001 is a finite binary string but
100ff101 is not because it contains characters other than 0, 1.
a. Give an informal proof arguing why this set should be
countable. Even though the language of your proof can be informal,
it must clearly explain the reasons why you think the set should...

10.5.1 Explain how linear bounded automata could be constructed
to accept the following languages:
(a)L= { a2 :n=m2,m≥1}
(explanation is much appreciated)

Recursively define strings in the following language:
A = {0^(n)1^(n+m)0^(m) | n,m >= 0}
Then create a context-free grammar to describe the language.

Using the given examples, describe how to do the following in
PIC assembly language.
Assembly language
Declare integer variables L,M,N
Compute M+N
Store the sum in L
Output L
If L > 0, output 1

Consider the language L = { w w : w ∈ { 0 , 1 } ∗ } is not
context-free. Note that this is the language of all strings that
consist of some combination of 0s and 1s, followed immediately by
that same combination of 0s and 1s. For example, 0101, 101101, and
110110 are all in the language because they consist of a string
followed by itself. Can you build a PDA to recognize this language?
(Hint: you...

Prove that the following language is undecidable:
L = { 〈M〉 | M is a Turing machine that accepts all strings of
length at most 5}

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