The following box-proof uses only the implication rules

Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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The following box-proof uses only the implication rules (e.g. no classical contradiction).
1:
assumption
2:
assumption
3:
assumption
4:
assumption
5:
6:
7:
8:
9:
10:
11:
12: (((A-B)-A)-A)-B)-B intro 1-11
Select one or more:
The box-proof contains 4 boxes.
- line 5 and line 11 contains the same propositional formula
line 8 is justified by an application of the -elim rule
The box proof contains 5 boxes and one of the hidden annotations is an assumption.
line 8 is justified by an application of the -intro rule
* line 6 and line 10 contains the same propositional formula
* line 6: ((A B) A)- A
- line 4: (A B) A
Transcribed Image Text:The following box-proof uses only the implication rules (e.g. no classical contradiction). 1: assumption 2: assumption 3: assumption 4: assumption 5: 6: 7: 8: 9: 10: 11: 12: (((A-B)-A)-A)-B)-B intro 1-11 Select one or more: The box-proof contains 4 boxes. - line 5 and line 11 contains the same propositional formula line 8 is justified by an application of the -elim rule The box proof contains 5 boxes and one of the hidden annotations is an assumption. line 8 is justified by an application of the -intro rule * line 6 and line 10 contains the same propositional formula * line 6: ((A B) A)- A - line 4: (A B) A
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