Proofs

• expression state at time 1 = "begin_expr"
• the expression at time 1 = [1, 2, 3]
• parent stack at time 1 = [ ]

then parent stack at time 2 = [ [1, 2, 3], [ ] ]

• expression state at time 1 = "begin_expr"
• the expression at time 1 = [1, 2, 3]
• arguments stack at time 1 = [ ]

then arguments stack at time 2 = [ [ 1, [ 2, [ 3, [ ] ] ] ], [ ] ]

• expression state at time 1 = "begin_expr"
• the expression at time 1 = [1, 2, 3]

then expression state at time 2 = "iterate_args"

• expression state at time 1 = "begin_expr"
• the expression at time 1 = [1, 2, 3]

then the expression at time 2 = [1, 2, 3]

• expression state at time 1 = "begin_expr"
• Variables Map at time 1 = [ ]

then Variables Map at time 2 = [ ]

• expression state at time 1 = "begin_expr"
• the line at time 1 = 1

then the line at time 2 = 1

• expression state at time 1 = "begin_expr"
• the tab at time 1 = 0

then the tab at time 2 = 0

• expression state at time 1 = "begin_expr"
• stack at time 1 = [ ]

then stack at time 2 = [ ]

• expression state at time 1 = "begin_expr"
• Python Object Store at time 1 = [ ]

then Python Object Store at time 2 = [ ]

• expression state at time 1 = "begin_expr"
• Control Map at time 1 = [ ]

then Control Map at time 2 = [ ]

• expression state at time 1 = "begin_expr"
• Class Map at time 1 = [ ]

then Class Map at time 2 = [ ]

• expression state at time 2 = "iterate_args"
• arguments stack at time 2 = [ [ 1, [ 2, [ 3, [ ] ] ] ], [ ] ]

then the expression at time 3 = 1

• expression state at time 2 = "iterate_args"
• arguments stack at time 2 = [ [ 1, [ 2, [ 3, [ ] ] ] ], [ ] ]

then arguments stack at time 3 = [ [ 2, [ 3, [ ] ] ], [ ] ]

• expression state at time 2 = "iterate_args"
• arguments stack at time 2 = [ [ 1, [ 2, [ 3, [ ] ] ] ], [ ] ]

then expression state at time 3 = "begin_expr"

• expression state at time 2 = "iterate_args"
• arguments stack at time 2 = [ [ 1, [ 2, [ 3, [ ] ] ] ], [ ] ]
• parent stack at time 2 = [ [1, 2, 3], [ ] ]

then parent stack at time 3 = [ [1, 2, 3], [ ] ]

• expression state at time 2 = "iterate_args"
• Value Stack at time 2 = [ [ ], [ ] ]

then Value Stack at time 3 = [ [ ], [ ] ]

• expression state at time 2 = "iterate_args"
• the line at time 2 = 1

then the line at time 3 = 1

• expression state at time 2 = "iterate_args"
• the tab at time 2 = 0

then the tab at time 3 = 0

• expression state at time 2 = "iterate_args"
• stack at time 2 = [ ]

then stack at time 3 = [ ]

• expression state at time 2 = "iterate_args"
• Python Object Store at time 2 = [ ]

then Python Object Store at time 3 = [ ]

• expression state at time 2 = "iterate_args"
• Control Map at time 2 = [ ]

then Control Map at time 3 = [ ]

• expression state at time 2 = "iterate_args"
• Variables Map at time 2 = [ ]

then Variables Map at time 3 = [ ]

• expression state at time 2 = "iterate_args"
• Class Map at time 2 = [ ]

then Class Map at time 3 = [ ]

• the expression at time 3 = 1
• expression state at time 3 = "begin_expr"
• 1 is constant
• parent stack at time 3 = [ [1, 2, 3], [ ] ]

then expression state at time 4 = "return"

• the expression at time 3 = 1
• expression state at time 3 = "begin_expr"
• 1 is constant
• Value Stack at time 3 = [ [ ], [ ] ]

then Value Stack at time 4 = [ [ ], [ ] ]

• the expression at time 3 = 1
• expression state at time 3 = "begin_expr"
• 1 is constant
• arguments stack at time 3 = [ [ 2, [ 3, [ ] ] ], [ ] ]

then arguments stack at time 4 = [ [ 2, [ 3, [ ] ] ], [ ] ]

• expression state at time 3 = "begin_expr"
• the expression at time 3 = 1
• 1 is constant

then Return Value at time 4 = 1

• expression state at time 3 = "begin_expr"
• the expression at time 3 = 1
• 1 is constant
• parent stack at time 3 = [ [1, 2, 3], [ ] ]

then parent stack at time 4 = [ [1, 2, 3], [ ] ]

• expression state at time 3 = "begin_expr"
• the line at time 3 = 1

then the line at time 4 = 1

• expression state at time 3 = "begin_expr"
• the tab at time 3 = 0

then the tab at time 4 = 0

• expression state at time 3 = "begin_expr"
• stack at time 3 = [ ]

then stack at time 4 = [ ]

• expression state at time 3 = "begin_expr"
• Python Object Store at time 3 = [ ]

then Python Object Store at time 4 = [ ]

• expression state at time 3 = "begin_expr"
• Control Map at time 3 = [ ]

then Control Map at time 4 = [ ]

• expression state at time 3 = "begin_expr"
• Variables Map at time 3 = [ ]

then Variables Map at time 4 = [ ]

• expression state at time 3 = "begin_expr"
• Class Map at time 3 = [ ]

then Class Map at time 4 = [ ]

• expression state at time 4 = "return"
• Value Stack at time 4 = [ [ ], [ ] ]
• Return Value at time 4 = 1

then Value Stack at time 5 = [ [ 1, [ ] ], [ ] ]

• expression state at time 4 = "return"
• Variables Map at time 4 = [ ]

then Variables Map at time 5 = [ ]

• expression state at time 4 = "return"
• the line at time 4 = 1

then the line at time 5 = 1

• expression state at time 4 = "return"
• the tab at time 4 = 0

then the tab at time 5 = 0

• expression state at time 4 = "return"
• arguments stack at time 4 = [ [ 2, [ 3, [ ] ] ], [ ] ]

then arguments stack at time 5 = [ [ 2, [ 3, [ ] ] ], [ ] ]

• expression state at time 4 = "return"
• parent stack at time 4 = [ [1, 2, 3], [ ] ]

then parent stack at time 5 = [ [1, 2, 3], [ ] ]

• expression state at time 4 = "return"
• stack at time 4 = [ ]

then stack at time 5 = [ ]

• expression state at time 4 = "return"
• Class Map at time 4 = [ ]

then Class Map at time 5 = [ ]

• expression state at time 4 = "return"
• Python Object Store at time 4 = [ ]

then Python Object Store at time 5 = [ ]

• expression state at time 4 = "return"
• Control Map at time 4 = [ ]

then Control Map at time 5 = [ ]

• expression state at time 5 = "iterate_args"
• arguments stack at time 5 = [ [ 2, [ 3, [ ] ] ], [ ] ]

then the expression at time 6 = 2

• expression state at time 5 = "iterate_args"
• arguments stack at time 5 = [ [ 2, [ 3, [ ] ] ], [ ] ]

then arguments stack at time 6 = [ [ 3, [ ] ], [ ] ]

• expression state at time 5 = "iterate_args"
• arguments stack at time 5 = [ [ 2, [ 3, [ ] ] ], [ ] ]

then expression state at time 6 = "begin_expr"

• expression state at time 5 = "iterate_args"
• arguments stack at time 5 = [ [ 2, [ 3, [ ] ] ], [ ] ]
• parent stack at time 5 = [ [1, 2, 3], [ ] ]

then parent stack at time 6 = [ [1, 2, 3], [ ] ]

• expression state at time 5 = "iterate_args"
• Value Stack at time 5 = [ [ 1, [ ] ], [ ] ]

then Value Stack at time 6 = [ [ 1, [ ] ], [ ] ]

• expression state at time 5 = "iterate_args"
• the line at time 5 = 1

then the line at time 6 = 1

• expression state at time 5 = "iterate_args"
• the tab at time 5 = 0

then the tab at time 6 = 0

• expression state at time 5 = "iterate_args"
• stack at time 5 = [ ]

then stack at time 6 = [ ]

• expression state at time 5 = "iterate_args"
• Python Object Store at time 5 = [ ]

then Python Object Store at time 6 = [ ]

• expression state at time 5 = "iterate_args"
• Control Map at time 5 = [ ]

then Control Map at time 6 = [ ]

• expression state at time 5 = "iterate_args"
• Variables Map at time 5 = [ ]

then Variables Map at time 6 = [ ]

• expression state at time 5 = "iterate_args"
• Class Map at time 5 = [ ]

then Class Map at time 6 = [ ]

• the expression at time 6 = 2
• expression state at time 6 = "begin_expr"
• 2 is constant
• parent stack at time 6 = [ [1, 2, 3], [ ] ]

then expression state at time 7 = "return"

• the expression at time 6 = 2
• expression state at time 6 = "begin_expr"
• 2 is constant
• Value Stack at time 6 = [ [ 1, [ ] ], [ ] ]

then Value Stack at time 7 = [ [ 1, [ ] ], [ ] ]

• the expression at time 6 = 2
• expression state at time 6 = "begin_expr"
• 2 is constant
• arguments stack at time 6 = [ [ 3, [ ] ], [ ] ]

then arguments stack at time 7 = [ [ 3, [ ] ], [ ] ]

• expression state at time 6 = "begin_expr"
• the expression at time 6 = 2
• 2 is constant

then Return Value at time 7 = 2

• expression state at time 6 = "begin_expr"
• the expression at time 6 = 2
• 2 is constant
• parent stack at time 6 = [ [1, 2, 3], [ ] ]

then parent stack at time 7 = [ [1, 2, 3], [ ] ]

• expression state at time 6 = "begin_expr"
• the line at time 6 = 1

then the line at time 7 = 1

• expression state at time 6 = "begin_expr"
• the tab at time 6 = 0

then the tab at time 7 = 0

• expression state at time 6 = "begin_expr"
• stack at time 6 = [ ]

then stack at time 7 = [ ]

• expression state at time 6 = "begin_expr"
• Python Object Store at time 6 = [ ]

then Python Object Store at time 7 = [ ]

• expression state at time 6 = "begin_expr"
• Control Map at time 6 = [ ]

then Control Map at time 7 = [ ]

• expression state at time 6 = "begin_expr"
• Variables Map at time 6 = [ ]

then Variables Map at time 7 = [ ]

• expression state at time 6 = "begin_expr"
• Class Map at time 6 = [ ]

then Class Map at time 7 = [ ]

• expression state at time 7 = "return"
• Value Stack at time 7 = [ [ 1, [ ] ], [ ] ]
• Return Value at time 7 = 2

then Value Stack at time 8 = [ [ 2, [ 1, [ ] ] ], [ ] ]

• expression state at time 7 = "return"
• Variables Map at time 7 = [ ]

then Variables Map at time 8 = [ ]

• expression state at time 7 = "return"
• the line at time 7 = 1

then the line at time 8 = 1

• expression state at time 7 = "return"
• the tab at time 7 = 0

then the tab at time 8 = 0

• expression state at time 7 = "return"
• arguments stack at time 7 = [ [ 3, [ ] ], [ ] ]

then arguments stack at time 8 = [ [ 3, [ ] ], [ ] ]

• expression state at time 7 = "return"
• parent stack at time 7 = [ [1, 2, 3], [ ] ]

then parent stack at time 8 = [ [1, 2, 3], [ ] ]

• expression state at time 7 = "return"
• stack at time 7 = [ ]

then stack at time 8 = [ ]

• expression state at time 7 = "return"
• Class Map at time 7 = [ ]

then Class Map at time 8 = [ ]

• expression state at time 7 = "return"
• Python Object Store at time 7 = [ ]

then Python Object Store at time 8 = [ ]

• expression state at time 7 = "return"
• Control Map at time 7 = [ ]

then Control Map at time 8 = [ ]

• expression state at time 8 = "iterate_args"
• arguments stack at time 8 = [ [ 3, [ ] ], [ ] ]

then the expression at time 9 = 3

• expression state at time 8 = "iterate_args"
• arguments stack at time 8 = [ [ 3, [ ] ], [ ] ]

then arguments stack at time 9 = [ [ ], [ ] ]

• expression state at time 8 = "iterate_args"
• arguments stack at time 8 = [ [ 3, [ ] ], [ ] ]

then expression state at time 9 = "begin_expr"

• expression state at time 8 = "iterate_args"
• arguments stack at time 8 = [ [ 3, [ ] ], [ ] ]
• parent stack at time 8 = [ [1, 2, 3], [ ] ]

then parent stack at time 9 = [ [1, 2, 3], [ ] ]

• expression state at time 8 = "iterate_args"
• Value Stack at time 8 = [ [ 2, [ 1, [ ] ] ], [ ] ]

then Value Stack at time 9 = [ [ 2, [ 1, [ ] ] ], [ ] ]

• expression state at time 8 = "iterate_args"
• the line at time 8 = 1

then the line at time 9 = 1

• expression state at time 8 = "iterate_args"
• the tab at time 8 = 0

then the tab at time 9 = 0

• expression state at time 8 = "iterate_args"
• stack at time 8 = [ ]

then stack at time 9 = [ ]

• expression state at time 8 = "iterate_args"
• Python Object Store at time 8 = [ ]

then Python Object Store at time 9 = [ ]

• expression state at time 8 = "iterate_args"
• Control Map at time 8 = [ ]

then Control Map at time 9 = [ ]

• expression state at time 8 = "iterate_args"
• Variables Map at time 8 = [ ]

then Variables Map at time 9 = [ ]

• expression state at time 8 = "iterate_args"
• Class Map at time 8 = [ ]

then Class Map at time 9 = [ ]

• the expression at time 9 = 3
• expression state at time 9 = "begin_expr"
• 3 is constant
• parent stack at time 9 = [ [1, 2, 3], [ ] ]

then expression state at time 10 = "return"

• the expression at time 9 = 3
• expression state at time 9 = "begin_expr"
• 3 is constant
• Value Stack at time 9 = [ [ 2, [ 1, [ ] ] ], [ ] ]

then Value Stack at time 10 = [ [ 2, [ 1, [ ] ] ], [ ] ]

• the expression at time 9 = 3
• expression state at time 9 = "begin_expr"
• 3 is constant
• arguments stack at time 9 = [ [ ], [ ] ]

then arguments stack at time 10 = [ [ ], [ ] ]

• expression state at time 9 = "begin_expr"
• the expression at time 9 = 3
• 3 is constant

then Return Value at time 10 = 3

• expression state at time 9 = "begin_expr"
• the expression at time 9 = 3
• 3 is constant
• parent stack at time 9 = [ [1, 2, 3], [ ] ]

then parent stack at time 10 = [ [1, 2, 3], [ ] ]

• expression state at time 9 = "begin_expr"
• the line at time 9 = 1

then the line at time 10 = 1

• expression state at time 9 = "begin_expr"
• the tab at time 9 = 0

then the tab at time 10 = 0