Proof: Write Assign End Stack 52
Let's prove the following theorem:
if the following are true:
- the line at time 52 = 8
- the tab at time 52 = 0
- statement at line 8, tab 0 =
p = Person("John", "Smith", 25)
- stack at time 52 = [ ]
- expression state at time 52 = "end_expr"
then stack at time 53 = [ ]
Proof:
Given
1 | the line at time 52 = 8 |
---|---|
2 | the tab at time 52 = 0 |
3 | statement at line 8, tab 0 = p = Person("John", "Smith", 25) |
4 | stack at time 52 = [ ] |
5 | expression state at time 52 = "end_expr" |
# | Claim | Reason |
---|---|---|
1 | stack at time (52 + 1) = stack at time 52 | if the line at time 52 = 8 and the tab at time 52 = 0 and statement at line 8, tab 0 = p = Person("John", "Smith", 25) and expression state at time 52 = "end_expr", then stack at time (52 + 1) = stack at time 52 |
2 | stack at time (52 + 1) = [ ] | if stack at time (52 + 1) = stack at time 52 and stack at time 52 = [ ], then stack at time (52 + 1) = [ ] |
3 | 52 + 1 = 53 | 52 + 1 = 53 |
4 | stack at time (52 + 1) = stack at time 53 | if 52 + 1 = 53, then stack at time (52 + 1) = stack at time 53 |
5 | stack at time 53 = [ ] | if stack at time (52 + 1) = stack at time 53 and stack at time (52 + 1) = [ ], then stack at time 53 = [ ] |
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