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In: Computer Science

Use the laws of propositional logic to prove that the followingcompound propositions are logically equivalent....

Use the laws of propositional logic to prove that the following compound propositions are logically equivalent.

A. ? ↔ (? ∧ ?) and ? → ?

B. ¬(? ∨ (? ∧ (? → ?))) and ¬? ∧ (? → ?)

Solutions

Expert Solution

Answer to the above question as follows-

During the proof we will be using some of the Boolean Algebra Laws, which can be stated as -

Idempotent law -

Complement Law -

De Morgan's Law -

  

Distributive law -

  

Absorption Law -

The solution for the equality of above two given expressions are -

  

For Question 2 we have

venereology answered 3 years ago
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