Question: - Consider the implication p -> q . The proposition q -> p is called the converse of p -> q. For example, the converse

- Consider the implication p -> q. The proposition q -> p is called the converse of p -> q. For example, the converse of the implication

If a programming language is object-oriented, then it has code reuse mechanisms

If a language has code reuse mechanisms, then its object oriented.

- Please produce an example of an implication and its converse.

- Are an implication and its converse logically equivalent? Why yes? Why not?

- Consider the implication p -> q. The proposition not p -> not q is called the inverse of p -> q. For example, the inverse of the implication

if a programming language is object-oriented, then it has code reuse mechanisms

if a programming language is not object-oriented, then it doesnt have code reuse mechanisms

- Please produce an example of an implication and its inverse.

- Are an implication and its inverse logically equivalent? Why yes? Why not?

- The logical implication operation and its contrapositive are logically equivalent. That is, if A and B are formulas, then A -> B is logically equivalent to not B -> not A. What is the importance of this logical equivalence? Can you show an example?

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