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# Hi,could you class="hljs-keyword">help me with this question and please expain to me how to solve it step by step.Thank you! ATTACHMENT PREVIEW Download attachment 1.jpg 1. [9 marks] In this problem we consider a logical system based only on operators @ and V where V is defined by: p V q =p V ~q. a. Demonstrate that logical operator ~ can be simulated using only the operators @ and V. That is, write an expression that uses only these two operators and is logically equivalent to ~ p. Explain why your answer is correct. b. Using only @ and V, write an expression which is logically equivalent to p V q. Prove that the two are logically equivalent using logical equivalences. c. Finally, use only @ and V to write an expression that is logically equivalent to p / q. Prove that the two are logically equivalent using logical equivalences. Since for every truth table over k atomic propositions, we can write a propositional formula that matches the truth table using ~, V and A, your answers to parts (a), (b) and (c) show that you can implement any specified logic function using only the @ and V operators.

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