Proof: Get Begin Expr Params 37
Let's prove the following theorem:
if the following are true:
- expression state at time 37 = "begin_expr"
- the expression at time 37 =
joe.move()
- arguments stack at time 37 = [ ]
then arguments stack at time 38 = [ [ ], [ ] ]
Proof:
Given
1 | expression state at time 37 = "begin_expr" |
---|---|
2 | the expression at time 37 = joe.move() |
3 | arguments stack at time 37 = [ ] |
# | Claim | Reason |
---|---|---|
1 | arguments stack at time (37 + 1) = [ [ ], arguments stack at time 37 ] | if expression state at time 37 = "begin_expr" and the expression at time 37 = joe.move() , then arguments stack at time (37 + 1) = [ [ ], arguments stack at time 37 ] |
2 | [ [ ], arguments stack at time 37 ] = [ [ ], [ ] ] | if arguments stack at time 37 = [ ], then [ [ ], arguments stack at time 37 ] = [ [ ], [ ] ] |
3 | arguments stack at time (37 + 1) = [ [ ], [ ] ] | if arguments stack at time (37 + 1) = [ [ ], arguments stack at time 37 ] and [ [ ], arguments stack at time 37 ] = [ [ ], [ ] ], then arguments stack at time (37 + 1) = [ [ ], [ ] ] |
4 | 37 + 1 = 38 | 37 + 1 = 38 |
5 | arguments stack at time (37 + 1) = arguments stack at time 38 | if 37 + 1 = 38, then arguments stack at time (37 + 1) = arguments stack at time 38 |
6 | arguments stack at time 38 = [ [ ], [ ] ] | if arguments stack at time (37 + 1) = arguments stack at time 38 and arguments stack at time (37 + 1) = [ [ ], [ ] ], then arguments stack at time 38 = [ [ ], [ ] ] |
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