refinement-and-logic

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Stepwise refinement is the process of breaking down a complex problem into smaller, more manageable sub-problems in a logical order
Each sub-problem is refined step by step until it is simple enough to be solved with a single subroutine or module
This method ensures that the overall problem can be solved by addressing each part individually, in a structured and efficient way

Decomposition is the general concept of breaking a problem down into smaller parts
Top-down design is the strategy used to perform decomposition
Stepwise refinement is the process used in top-down design to gradually refine each major task into simpler sub-tasks
In other words, stepwise refinement is how top-down design is implemented

Helps developers understand and organise the structure of a program
Makes testing and debugging easier through unit testing of individual subroutines
Encourages code reuse by breaking tasks into reusable components
Supports collaborative development, as tasks can be divided between team members
Each subroutine should:
- Be clear and focused on a single task
- Be simple enough to implement directly
- Not need further breakdown

Here’s how stepwise refinement could be applied to a program designed to calculate student grades for a teacher’s classes:

Step 1 – Calculate the grade for each assessment
- For each question:
  - Mark the question
  - Store the mark
- Sum the marks for all questions in the assessment
Step 2 – Calculate the average grade for each student
- Add together grades from all assessments
- Divide by the number of assessments
- Store the average
Step 3 – Repeat for each class
- For every student in the class:
  - Perform Steps 1 and 2
This structured breakdown allows each task to be turned into a subroutine, simplifying the design, implementation, and testing of the overall program

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