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What is Haskell?

Haskell is a powerful and elegant programming language primarily used in academia and industry for its emphasis on functional programming. Developed in the late 1980s, Haskell has gained popularity due to its concise syntax and strong static typing system, making it both efficient and safe for software development.

Unlike imperative languages, Haskell focuses on evaluating expressions rather than executing commands, making it well-suited for mathematical and algorithmic applications. Its purity in functional programming encourages modularity and reusability, enhancing code maintainability and scalability—a valuable asset for students and professionals alike in mastering modern programming paradigms.

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Implementation of Fibonacci sequence Using Recursion in Haskell

fib :: Int -> Int fib 0 = 0 fib 1 = 1 fib n = fib (n-1) + fib (n-2)

Explanation:

1. Function Definition (fib): This function computes the nth Fibonacci number using recursion.
2. Base Cases:

   fib 0 = 0: Defines the Fibonacci number for 0 as 0.

   fib 1 = 1: Defines the Fibonacci number for 1 as 1.

3. Recursive Case (fib n = fib (n-1) + fib (n-2)): For any other positive integer n, the Fibonacci number is computed as the sum of the two preceding Fibonacci numbers.

This example helps students grasp the concept of recursion, a fundamental aspect of functional programming. Haskell's syntax encourages recursive thinking, which is crucial for solving complex problems efficiently.

The use of pattern matching (fib 0, fib 1) showcases Haskell's ability to match cases before general ones, aiding in understanding how Haskell handles different scenarios.

Students can explore how different implementations (e.g., using memoization) affect performance in Haskell. This practical exploration enhances their understanding of algorithmic efficiency and optimization techniques.

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