`p hArr q` is :

Options

A. Tautology
B. Logic Equivalence
C. Contradiction
D. None of these

Answer

To solve the question regarding the biconditional statement \( p \leftrightarrow q \), we will break down the concept and analyze the options provided. Here’s a step-by-step solution:

### Step 1: Understand the Biconditional Statement
The biconditional statement \( p \leftrightarrow q \) (read as "p if and only if q") is true if both \( p \) and \( q \) have the same truth values. This means:
- If \( p \) is true, then \( q \) must also be true.
- If \( p \) is false, then \( q \) must also be false.

### Step 2: Identify Logical Equivalence
The biconditional can be interpreted as a statement of logical equivalence. This means that \( p \) and \( q \) are logically equivalent if and only if they yield the same truth value in all possible scenarios.

### Step 3: Analyze the Options
Given the options (not specified in the question), we need to identify which one correctly represents the biconditional statement \( p \leftrightarrow q \). The correct option should reflect that both statements are true or both are false.

### Step 4: Conclusion
Based on the understanding that \( p \leftrightarrow q \) indicates logical equivalence, we conclude that the correct answer is the option that states this relationship.

### Final Answer
The answer is **B**, which represents logical equivalence.

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