Can someone check this for me? (Equivalence classes)

In summary, there are 12 equivalence classes for the given relation, where each class is defined by strings with the same first and third letter. There are no restrictions on strings with repeat letters.
  • #1
StuperSting
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This thread is missing the Homework Template due to originally being posted in another forum.
Question: Find the equivalence classes and the number of equivalence classes of the following relations.

A is the set of all possible strings of 3 or 4 letters in alphabet {A, B, C, D}, and (x, y) ∈ R if and only if x and y have the same first letter and the same third letter.
My attempted answer: A_B_, A_C_, A_D_, B_A_, B_C_, B_D_, C_A_, C_B_, C_D_, D_A_, D_B_, D_C_.
This would be 12 different classes.

Is this correct or am I missing something?
 
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  • #2
There is typically no restriction on strings containing repeat letters. Other than that, this looks fine.
 
  • #3
Awesome thanks :)
 

1. What are equivalence classes?

Equivalence classes are groups or categories of objects or elements that are considered to be equivalent or indistinguishable from one another. This concept is commonly used in mathematics and computer science to simplify complex systems and make them easier to analyze.

2. How are equivalence classes used in testing?

In testing, equivalence classes are used to group together similar test cases that are likely to produce the same results. This allows for more efficient and effective testing by reducing the number of test cases that need to be executed.

3. What is the purpose of checking for equivalence classes?

The purpose of checking for equivalence classes is to ensure that all possible scenarios or inputs are covered in testing. This helps to identify any potential errors or bugs in the system and ensures that the software or product is functioning correctly.

4. How do you determine equivalence classes?

To determine equivalence classes, you need to first identify the different inputs or variables that can affect the system. Then, group these inputs into categories based on their expected behavior or outcomes. These categories become the equivalence classes that need to be tested.

5. Can equivalence classes be applied to all types of testing?

Yes, equivalence classes can be applied to all types of testing, including functional, integration, and regression testing. By using equivalence classes, testers can focus on testing the most critical and diverse aspects of the system, rather than wasting time on redundant or irrelevant test cases.

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