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Consider the class of recursive and iterative programs. Which of the following is false?
- a)Recursive programs are more powerful than iterative programs.
- b)For every iterative program there is an equivalent recursive program.
- c)Recursive programs require dynamic memory management.
- d)Recursive programs do not terminate sometimes.
- e)Iterative programs and recursive programs are equally expressive.
Correct answer is option 'E'. Can you explain this answer?
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Consider the class of recursive and iterative programs. Which of the f...
Computable function: those which can be incorporated in a program using for/while loops.
Total Function: Defined for all possible inputs
Well Defined: if its definition assigns it a unique value.
It was a belief in early 1900s that every Computable function was also Primitively Recursive. But the discovery of Ackermann function provided a counter to it.
The class of primitive recursive functions is a small subclass of the class of recursive functions. This means that there are some functions which are Well-Defined Total Functions and are Computable BUT Not primitively recursive; eg. Ackermann function.
This makes all options from option A to option D as True.
But option E as FALSE. As iterative programs are equivalent to only Primitively Recursive class.
Most Upvoted Answer
Consider the class of recursive and iterative programs. Which of the f...
Introduction:
The given statement is asking which of the following options is false when considering the class of recursive and iterative programs. We will evaluate each option and explain why it is either true or false.
Analysis of each option:
a) Recursive programs are more powerful than iterative programs:
This statement is true. Recursive programs have the ability to solve problems by breaking them down into smaller subproblems, which can be solved by calling the same function recursively. This allows recursive programs to solve complex problems that may be difficult to solve using iterative methods alone.
b) For every iterative program there is an equivalent recursive program:
This statement is true. It is possible to convert any iterative program into an equivalent recursive program and vice versa. However, the conversion process may not always be straightforward, and the resulting recursive program may not be as efficient as the original iterative program.
c) Recursive programs require dynamic memory management:
This statement is true. Recursive programs often require the use of dynamic memory allocation to create new instances of the function on the call stack. Each recursive call creates a new instance of the function with its own set of variables and memory allocation. Failure to properly manage dynamic memory can lead to memory leaks or stack overflow errors.
d) Recursive programs do not terminate sometimes:
This statement is true. Recursive programs may not terminate if there is a bug in the termination condition or if the recursion depth exceeds the limitations of the system. This can result in an infinite loop, causing the program to hang or crash. Proper termination conditions and recursive depth management are essential to ensure the termination of recursive programs.
e) Iterative programs and recursive programs are equally expressive:
This statement is false. Recursive programs and iterative programs are not equally expressive. Recursive programs have the ability to solve a wider range of problems due to their ability to break down complex problems into smaller subproblems. Iterative programs, on the other hand, use loops and iterations to repeat a set of instructions until a specific condition is met. While both approaches have their strengths and weaknesses, recursive programs have a higher level of expressive power.
The given statement is asking which of the following options is false when considering the class of recursive and iterative programs. We will evaluate each option and explain why it is either true or false.
Analysis of each option:
a) Recursive programs are more powerful than iterative programs:
This statement is true. Recursive programs have the ability to solve problems by breaking them down into smaller subproblems, which can be solved by calling the same function recursively. This allows recursive programs to solve complex problems that may be difficult to solve using iterative methods alone.
b) For every iterative program there is an equivalent recursive program:
This statement is true. It is possible to convert any iterative program into an equivalent recursive program and vice versa. However, the conversion process may not always be straightforward, and the resulting recursive program may not be as efficient as the original iterative program.
c) Recursive programs require dynamic memory management:
This statement is true. Recursive programs often require the use of dynamic memory allocation to create new instances of the function on the call stack. Each recursive call creates a new instance of the function with its own set of variables and memory allocation. Failure to properly manage dynamic memory can lead to memory leaks or stack overflow errors.
d) Recursive programs do not terminate sometimes:
This statement is true. Recursive programs may not terminate if there is a bug in the termination condition or if the recursion depth exceeds the limitations of the system. This can result in an infinite loop, causing the program to hang or crash. Proper termination conditions and recursive depth management are essential to ensure the termination of recursive programs.
e) Iterative programs and recursive programs are equally expressive:
This statement is false. Recursive programs and iterative programs are not equally expressive. Recursive programs have the ability to solve a wider range of problems due to their ability to break down complex problems into smaller subproblems. Iterative programs, on the other hand, use loops and iterations to repeat a set of instructions until a specific condition is met. While both approaches have their strengths and weaknesses, recursive programs have a higher level of expressive power.
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Consider the class of recursive and iterative programs. Which of the following is false?a)Recursive programs are more powerful than iterative programs.b)For every iterative program there is an equivalent recursive program.c)Recursive programs require dynamic memory management.d)Recursive programs do not terminate sometimes.e)Iterative programs and recursive programs are equally expressive.Correct answer is option 'E'. Can you explain this answer?
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Consider the class of recursive and iterative programs. Which of the following is false?a)Recursive programs are more powerful than iterative programs.b)For every iterative program there is an equivalent recursive program.c)Recursive programs require dynamic memory management.d)Recursive programs do not terminate sometimes.e)Iterative programs and recursive programs are equally expressive.Correct answer is option 'E'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Consider the class of recursive and iterative programs. Which of the following is false?a)Recursive programs are more powerful than iterative programs.b)For every iterative program there is an equivalent recursive program.c)Recursive programs require dynamic memory management.d)Recursive programs do not terminate sometimes.e)Iterative programs and recursive programs are equally expressive.Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the class of recursive and iterative programs. Which of the following is false?a)Recursive programs are more powerful than iterative programs.b)For every iterative program there is an equivalent recursive program.c)Recursive programs require dynamic memory management.d)Recursive programs do not terminate sometimes.e)Iterative programs and recursive programs are equally expressive.Correct answer is option 'E'. Can you explain this answer?.
Consider the class of recursive and iterative programs. Which of the following is false?a)Recursive programs are more powerful than iterative programs.b)For every iterative program there is an equivalent recursive program.c)Recursive programs require dynamic memory management.d)Recursive programs do not terminate sometimes.e)Iterative programs and recursive programs are equally expressive.Correct answer is option 'E'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Consider the class of recursive and iterative programs. Which of the following is false?a)Recursive programs are more powerful than iterative programs.b)For every iterative program there is an equivalent recursive program.c)Recursive programs require dynamic memory management.d)Recursive programs do not terminate sometimes.e)Iterative programs and recursive programs are equally expressive.Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the class of recursive and iterative programs. Which of the following is false?a)Recursive programs are more powerful than iterative programs.b)For every iterative program there is an equivalent recursive program.c)Recursive programs require dynamic memory management.d)Recursive programs do not terminate sometimes.e)Iterative programs and recursive programs are equally expressive.Correct answer is option 'E'. Can you explain this answer?.
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