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Introduction to the Theory of Computation

Sipser Michael

Chapter 6: Chapter 6

Problem 1

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Give an example in the spirit of the recursion theorem of a program in a real programming language (or a reasonable approximation thereof) that prints itself out.

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A Python program that prints its own source code can be demonstrated as follows: ```python def main(): with open(__file__, 'r') as source_code_file: source_code = source_code_file.read() print(source_code) if __name__ == "__main__": main() ``` This program utilizes the recursion theorem concept by reading its own source code file using `__file__` attribute and printing its content.

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TABLE OF CONTENTS

Step 1: Create the main function

Begin by creating the main function in Python, called "main()". This function will be responsible for executing the code to read the source file and print its content. ```python def main(): # Code to read and print file content goes here ```

Step 2: Read the source code file

Inside the main function, we will use `open()` to read the source code file. Use the `__file__` attribute to read the current script file. Then, use the function `read()` to read the content of the file. ```python def main(): with open(__file__, 'r') as source_code_file: source_code = source_code_file.read() ```

Step 3: Print the source code

After reading the content of the source code file, we can now print the content of the source_code variable. ```python def main(): with open(__file__, 'r') as source_code_file: source_code = source_code_file.read() print(source_code) ```

Step 4: Call the main function

Finally, we must call the main function in order to execute our code and make the program print its own source code. ```python def main(): with open(__file__, 'r') as source_code_file: source_code = source_code_file.read() print(source_code) if __name__ == "__main__": main() ``` Now, when you run this Python script, it will read its own source code and print it out. This demonstrates the concept of the recursion theorem, where a program can effectively "print itself out."

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Chapter 6: Chapter 6

Give an example in the spirit of the recursion theorem of a program in a real programming language (or a reasonable approximation thereof) that prints itself out.

Short Answer

Step by step solution

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Step 1: Create the main function

Step 2: Read the source code file

Step 3: Print the source code

Step 4: Call the main function

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More chapters from the book ‘Introduction to the Theory of Computation’

Chapter 0

Chapter 1

Chapter 2

Chapter 3

Chapter 4

Chapter 5

Chapter 7

Chapter 8

Chapter 9

Chapter 10

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