a) Design a PDA P that recognizes the language L = {r#y : 1,Y E {1}* ^ \r| > ]y]} over the alphabet E = {1, #}. Draw a state diagram according to the format of the textbook and the slides, i.c., start with an empty stack. Furthermore, ensure that every move cither pushes or pops, but not both.
a) Design a PDA P that recognizes the language L = {r#y : 1,Y E {1}* ^ \r| > ]y]} over the alphabet E = {1, #}. Draw a state diagram according to the format of the textbook and the slides, i.c., start with an empty stack. Furthermore, ensure that every move cither pushes or pops, but not both.
C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter18: Stacks And Queues
Section: Chapter Questions
Problem 16PE:
The implementation of a queue in an array, as given in this chapter, uses the variable count to...
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![(a) Design a PDA P that recognizes the language L = {r#y : x, y E
{1}* ^ |r| > ly|} over the alphabet E = {1, #}. Draw a state
diagram according to the format of the textbook and the slides,
i.e., start with an empty stack. Furthermore, ensure that every
move either pushes or pops, but not both.
(b) Obviously, you can casily create a CFG for such a trivial language
like L. Here, you are asked to not just produce any CFG for L,
but follow the procedure PDA-to-CFG to obtain such a grammar.
Even for such a simple PDA, the grammar would be a bit lengthy.
Therefore, we make one modification. You don't have to write
any rules that involve variables that generate the empty language.
Such rules would have no effect anyway.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9b8f2041-e50a-4e46-9284-5dc0f6456a77%2Fe6f03382-ece6-4f68-9bb6-72060466e63a%2Fr6waulm_processed.png&w=3840&q=75)
Transcribed Image Text:(a) Design a PDA P that recognizes the language L = {r#y : x, y E
{1}* ^ |r| > ly|} over the alphabet E = {1, #}. Draw a state
diagram according to the format of the textbook and the slides,
i.e., start with an empty stack. Furthermore, ensure that every
move either pushes or pops, but not both.
(b) Obviously, you can casily create a CFG for such a trivial language
like L. Here, you are asked to not just produce any CFG for L,
but follow the procedure PDA-to-CFG to obtain such a grammar.
Even for such a simple PDA, the grammar would be a bit lengthy.
Therefore, we make one modification. You don't have to write
any rules that involve variables that generate the empty language.
Such rules would have no effect anyway.
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