Prove that (p V q) → (p^ q) and p are logically equivalent by applying the laws of propositional logic. 1. P-> Q 2. - P->-Q 3. Q 4. P 5. - Q 6. ㅋ???? 7. P 8. P 9. Q 10. P <-> Q

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A: Solution -

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A: As you have posted multiple questions, we will solve the first question for you. From the given 3…

Q: Is this a (p V q) → p tautology?

A: p q p V q (p V q) --&gt; p 0 0 0 1 0 1 1 0 1 0 1 1 1 1 1 1 A tautology is a formula which…

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A: solution to the question whether function is one one or onto or bijective is in step 2.

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A: Hello Student, hope you are doing well, I will be trying my best to explain and fulfill your query.…

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A: p q r p∨q (p∨q)→r p→q p→r (p→q)∨(p→r) ((p∨q) → r) ↔ (p→q)∨(p→r) F F F F T T T T T F F T F T T T…

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A: The FDs are ABK→C A→DG B→K K→ADH H→GE Closure (B) ={B, K, A, D, H, G, E, C}

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A: Actually, transition is a changing from one state to another state.

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A: To create the truth table for  ¬ ( p → q ) → p

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A: ANSWER Option A

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Q: a) let p, q and r be propositions. Simplify the fo proposition: (- r) ^ p ^ q) V ((- r) ^ (- p) ^…

A: Given :

Q: Consider the following resolution proof: 1. р(x) P 2. q(y, a) V ¬p(a) 3. q(а, а) P 4. ду, а) 5. да,…

A: Lets see the solution in the next steps

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Q: Construct a finite automaton that accepts (0, 1)+

A: The Answer is

Q: Construct a finite automaton that accepts {0, 1}*

A:

Q: Construct a finite automaton that accepts {0, 1}*

A: Below is the answer with explanation: