Natural Deduction Practice Problems

Here are two natural deduction practice problems I wrote to prepare myself for last semester’s logic final. They can be solved in about 5-10 steps. Feel free to comment with your solutions. The first person to correctly answer will not receive a prize because I’m not Oprah.

Prove “p” given:

  1. p v ~q                  
  2. a–>q                   
  3. ~s–>~b              
  4. [~a-->b] & ~s     

Prove “p” given:

  1. p v ~q                  
  2. s & t                     
  3. ~[~q & t]            

Regards,

Charles Bonaventure

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