Theory of ComputationProve that the following language W is not a CFL(Context Free Lnaguage) by using proof by contradiction using the Pumping Lemma " =>Specifically, W is a language over alphabet Σ = {a, ..., z, 0, 1 ..., 9, :} (thechar represents a space) that contains strings of the following form:W = {w|w=if_b₁ indent₁n₁elif_b₂:indent2n2else: indent3n3}where:1. b₁, b2 = {true, false}2. n1, n2, n3 € {0, 1,...,9}3. indent1, indent2, indent3 € __*4. |indent₁| = |indent2| = |indent3|

Dear Student, The proof by using proof by contradiction is given below, also in my proof I have…

Answered: har represents a s V = {w | w w=

Engineering

Computer Engineering

har represents a s V = {w | w w=

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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Question

Theory of Computation

Prove that the following language W is not a CFL(Context Free Lnaguage) by using proof by contradiction using the Pumping Lemma

" =>
Specifically, W is a language over alphabet Σ = {a, ..., z, 0, 1 ..., 9, :} (the
char represents a space) that contains strings of the following form:
W = {w|w=
if_b₁ indent₁n₁elif_b₂:indent2n2else: indent3n3}
where:
1. b₁, b2 = {true, false}
2. n1, n2, n3 € {0, 1,...,9}
3. indent1, indent2, indent3 € __*
4. |indent₁| = |indent2| = |indent3|

Theory that deals with fundamental questions around what problems can and cannot be solved using computation and uses a model of computation to understand the degree to which computers can assist in solving problems. There are three main branches of this subject: automata theory and formal languages, computational complexity theory, and computability theory.

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