(a) Design a PDA P that recognizes the language L = {x#y : x, y ∈{1}∗∧ |x| > |y|} over the alphabet Σ = {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 easily 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.
(a) Design a PDA P that recognizes the language L = {x#y : x, y ∈{1}∗∧ |x| > |y|} over the alphabet Σ = {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 easily 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.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
Related questions
Question
(a) Design a PDA P that recognizes the language L = {x#y : x, y ∈{1}∗∧ |x| > |y|} over the alphabet Σ = {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 easily 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.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.Recommended textbooks for you
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education