There are many ways to do a formal proof of ~Pv~(~Q&(~PvQ)). Your job is to figure out which way we chose and complete the proof. Since there are no premises, we number a subproof assumption as line 1. Hint: always use reductio shortcut.   1.   |  Assume 2.   | |    3.   | |    4.   | |    5.   |    6.   | |    7.   | |    8.   | |    9.   |    10. | ~Q   11. |    12. | |  Assume 13. | |    14. | |    15. | |    16. |    17. ~Pv~(~Q&(~PvQ))

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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There are many ways to do a formal proof of ~Pv~(~Q&(~PvQ)). Your job is to figure out which way we chose and complete the proof. Since there are no premises, we number a subproof assumption as line 1.

  • Hint: always use reductio shortcut.

 

1.   |  Assume
2.   | |   
3.   | |   
4.   | |   
5.   |   
6.   | |   
7.   | |   
8.   | |   
9.   |   
10. | ~Q  
11. |   
12. | |  Assume
13. | |   
14. | |   
15. | |   
16. |   
17. ~Pv~(~Q&(~PvQ))
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