Proofs

• the line at time 43 = 2
• the tab at time 43 = 0
• statement at line 2, tab 0 = for value in numbers:
• Control Map at time 43 = [ entry 0: (trio ("for", 2, [ 3, [ ] ])), [ ] ]

then Control Map at time 44 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]

• the line at time 43 = 2
• the tab at time 43 = 0
• statement at line 2, tab 0 = for value in numbers:
• Control Map at time 43 = [ entry 0: (trio ("for", 2, [ 3, [ ] ])), [ ] ]
• stack at time 43 = [ ]

then stack at time 44 = [ ]

• the line at time 43 = 2
• the tab at time 43 = 0
• statement at line 2, tab 0 = for value in numbers:
• Control Map at time 43 = [ entry 0: (trio ("for", 2, [ 3, [ ] ])), [ ] ]
• Python Object Store at time 43 = [ [1, 2, 3], [ ] ]

then Python Object Store at time 44 = [ [1, 2, 3], [ ] ]

• the line at time 43 = 2
• the tab at time 43 = 0
• statement at line 2, tab 0 = for value in numbers:
• Control Map at time 43 = [ entry 0: (trio ("for", 2, [ 3, [ ] ])), [ ] ]
• Class Map at time 43 = [ ]

then Class Map at time 44 = [ ]

• the line at time 44 = 3
• the tab at time 44 = 1
• statement at line 3, tab 1 = x = __mul__(value, 4)
• expression state at time 44 = "not_expr"

then the expression at time 45 = __mul__(value, 4)

• the line at time 44 = 3
• the tab at time 44 = 1
• statement at line 3, tab 1 = x = __mul__(value, 4)
• expression state at time 44 = "not_expr"

then expression state at time 45 = "begin_expr"

• the line at time 44 = 3
• the tab at time 44 = 1
• statement at line 3, tab 1 = x = __mul__(value, 4)
• expression state at time 44 = "not_expr"

then the line at time 45 = 3

• the line at time 44 = 3
• the tab at time 44 = 1
• statement at line 3, tab 1 = x = __mul__(value, 4)
• expression state at time 44 = "not_expr"

then the tab at time 45 = 1

• the line at time 44 = 3
• the tab at time 44 = 1
• statement at line 3, tab 1 = x = __mul__(value, 4)
• expression state at time 44 = "not_expr"

then Value Stack at time 45 = [ ]

• the line at time 44 = 3
• the tab at time 44 = 1
• statement at line 3, tab 1 = x = __mul__(value, 4)
• expression state at time 44 = "not_expr"

then parent stack at time 45 = [ ]

• the line at time 44 = 3
• the tab at time 44 = 1
• statement at line 3, tab 1 = x = __mul__(value, 4)
• expression state at time 44 = "not_expr"

then arguments stack at time 45 = [ ]

• the line at time 44 = 3
• the tab at time 44 = 1
• statement at line 3, tab 1 = x = __mul__(value, 4)
• expression state at time 44 = "not_expr"
• Variables Map at time 44 = [ entry numbers: (Python reference 0), [ entry value: 3, [ entry x: 8, [ ] ] ] ]

then Variables Map at time 45 = [ entry numbers: (Python reference 0), [ entry value: 3, [ entry x: 8, [ ] ] ] ]

• the line at time 44 = 3
• the tab at time 44 = 1
• statement at line 3, tab 1 = x = __mul__(value, 4)
• expression state at time 44 = "not_expr"
• stack at time 44 = [ ]

then stack at time 45 = [ ]

• the line at time 44 = 3
• the tab at time 44 = 1
• statement at line 3, tab 1 = x = __mul__(value, 4)
• expression state at time 44 = "not_expr"
• Python Object Store at time 44 = [ [1, 2, 3], [ ] ]

then Python Object Store at time 45 = [ [1, 2, 3], [ ] ]

• the line at time 44 = 3
• the tab at time 44 = 1
• statement at line 3, tab 1 = x = __mul__(value, 4)
• Control Map at time 44 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]

then Control Map at time 45 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]

• the line at time 44 = 3
• the tab at time 44 = 1
• statement at line 3, tab 1 = x = __mul__(value, 4)
• Class Map at time 44 = [ ]

then Class Map at time 45 = [ ]

• expression state at time 45 = "begin_expr"
• the expression at time 45 = __mul__(value, 4)
• Value Stack at time 45 = [ ]

then Value Stack at time 46 = [ [ ], [ ] ]

• expression state at time 45 = "begin_expr"
• the expression at time 45 = __mul__(value, 4)
• parent stack at time 45 = [ ]

then parent stack at time 46 = [ __mul__(value, 4), [ ] ]

• expression state at time 45 = "begin_expr"
• the expression at time 45 = __mul__(value, 4)
• arguments stack at time 45 = [ ]

then arguments stack at time 46 = [ [ value, [ 4, [ ] ] ], [ ] ]

• expression state at time 45 = "begin_expr"
• the expression at time 45 = __mul__(value, 4)

then expression state at time 46 = "iterate_args"

• expression state at time 45 = "begin_expr"
• the expression at time 45 = __mul__(value, 4)

then the expression at time 46 = __mul__(value, 4)

• expression state at time 45 = "begin_expr"
• Variables Map at time 45 = [ entry numbers: (Python reference 0), [ entry value: 3, [ entry x: 8, [ ] ] ] ]

then Variables Map at time 46 = [ entry numbers: (Python reference 0), [ entry value: 3, [ entry x: 8, [ ] ] ] ]

• expression state at time 45 = "begin_expr"
• the line at time 45 = 3

then the line at time 46 = 3

• expression state at time 45 = "begin_expr"
• the tab at time 45 = 1

then the tab at time 46 = 1

• expression state at time 45 = "begin_expr"
• stack at time 45 = [ ]

then stack at time 46 = [ ]

• expression state at time 45 = "begin_expr"
• Python Object Store at time 45 = [ [1, 2, 3], [ ] ]

then Python Object Store at time 46 = [ [1, 2, 3], [ ] ]

• expression state at time 45 = "begin_expr"
• Control Map at time 45 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]

then Control Map at time 46 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]

• expression state at time 45 = "begin_expr"
• Class Map at time 45 = [ ]

then Class Map at time 46 = [ ]

• expression state at time 46 = "iterate_args"
• arguments stack at time 46 = [ [ value, [ 4, [ ] ] ], [ ] ]

then the expression at time 47 = value

• expression state at time 46 = "iterate_args"
• arguments stack at time 46 = [ [ value, [ 4, [ ] ] ], [ ] ]

then arguments stack at time 47 = [ [ 4, [ ] ], [ ] ]

• expression state at time 46 = "iterate_args"
• arguments stack at time 46 = [ [ value, [ 4, [ ] ] ], [ ] ]

then expression state at time 47 = "begin_expr"

• expression state at time 46 = "iterate_args"
• arguments stack at time 46 = [ [ value, [ 4, [ ] ] ], [ ] ]
• parent stack at time 46 = [ __mul__(value, 4), [ ] ]

then parent stack at time 47 = [ __mul__(value, 4), [ ] ]

• expression state at time 46 = "iterate_args"
• Value Stack at time 46 = [ [ ], [ ] ]

then Value Stack at time 47 = [ [ ], [ ] ]

• expression state at time 46 = "iterate_args"
• the line at time 46 = 3

then the line at time 47 = 3

• expression state at time 46 = "iterate_args"
• the tab at time 46 = 1

then the tab at time 47 = 1

• expression state at time 46 = "iterate_args"
• stack at time 46 = [ ]

then stack at time 47 = [ ]

• expression state at time 46 = "iterate_args"
• Python Object Store at time 46 = [ [1, 2, 3], [ ] ]

then Python Object Store at time 47 = [ [1, 2, 3], [ ] ]

• expression state at time 46 = "iterate_args"
• Control Map at time 46 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]

then Control Map at time 47 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]

• expression state at time 46 = "iterate_args"
• Variables Map at time 46 = [ entry numbers: (Python reference 0), [ entry value: 3, [ entry x: 8, [ ] ] ] ]

then Variables Map at time 47 = [ entry numbers: (Python reference 0), [ entry value: 3, [ entry x: 8, [ ] ] ] ]

• expression state at time 46 = "iterate_args"
• Class Map at time 46 = [ ]

then Class Map at time 47 = [ ]

• expression state at time 47 = "begin_expr"
• Variables Map at time 47 = [ entry numbers: (Python reference 0), [ entry value: 3, [ entry x: 8, [ ] ] ] ]

then Variables Map at time 48 = [ entry numbers: (Python reference 0), [ entry value: 3, [ entry x: 8, [ ] ] ] ]

• the expression at time 47 = value
• expression state at time 47 = "begin_expr"
• value is a variable
• parent stack at time 47 = [ __mul__(value, 4), [ ] ]

then expression state at time 48 = "return"

• the expression at time 47 = value
• expression state at time 47 = "begin_expr"
• value is a variable
• Value Stack at time 47 = [ [ ], [ ] ]

then Value Stack at time 48 = [ [ ], [ ] ]

• the expression at time 47 = value
• expression state at time 47 = "begin_expr"
• value is a variable
• arguments stack at time 47 = [ [ 4, [ ] ], [ ] ]

then arguments stack at time 48 = [ [ 4, [ ] ], [ ] ]

• expression state at time 47 = "begin_expr"
• the expression at time 47 = value
• value is a variable
• Variables Map at time 47 = [ entry numbers: (Python reference 0), [ entry value: 3, [ entry x: 8, [ ] ] ] ]

then Return Value at time 48 = 3

• expression state at time 47 = "begin_expr"
• the expression at time 47 = value
• value is a variable
• parent stack at time 47 = [ __mul__(value, 4), [ ] ]

then parent stack at time 48 = [ __mul__(value, 4), [ ] ]

• expression state at time 47 = "begin_expr"
• the line at time 47 = 3

then the line at time 48 = 3

• expression state at time 47 = "begin_expr"
• the tab at time 47 = 1

then the tab at time 48 = 1

• expression state at time 47 = "begin_expr"
• stack at time 47 = [ ]

then stack at time 48 = [ ]

• expression state at time 47 = "begin_expr"
• Python Object Store at time 47 = [ [1, 2, 3], [ ] ]

then Python Object Store at time 48 = [ [1, 2, 3], [ ] ]

• expression state at time 47 = "begin_expr"
• Control Map at time 47 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]

then Control Map at time 48 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]

• expression state at time 47 = "begin_expr"
• Class Map at time 47 = [ ]

then Class Map at time 48 = [ ]

• expression state at time 48 = "return"
• Value Stack at time 48 = [ [ ], [ ] ]
• Return Value at time 48 = 3

then Value Stack at time 49 = [ [ 3, [ ] ], [ ] ]

• expression state at time 48 = "return"
• Variables Map at time 48 = [ entry numbers: (Python reference 0), [ entry value: 3, [ entry x: 8, [ ] ] ] ]

then Variables Map at time 49 = [ entry numbers: (Python reference 0), [ entry value: 3, [ entry x: 8, [ ] ] ] ]

• expression state at time 48 = "return"
• the line at time 48 = 3

then the line at time 49 = 3

• expression state at time 48 = "return"
• the tab at time 48 = 1

then the tab at time 49 = 1

• expression state at time 48 = "return"
• arguments stack at time 48 = [ [ 4, [ ] ], [ ] ]

then arguments stack at time 49 = [ [ 4, [ ] ], [ ] ]

• expression state at time 48 = "return"
• parent stack at time 48 = [ __mul__(value, 4), [ ] ]

then parent stack at time 49 = [ __mul__(value, 4), [ ] ]

• expression state at time 48 = "return"
• stack at time 48 = [ ]

then stack at time 49 = [ ]

• expression state at time 48 = "return"
• Class Map at time 48 = [ ]

then Class Map at time 49 = [ ]

• expression state at time 48 = "return"
• Python Object Store at time 48 = [ [1, 2, 3], [ ] ]

then Python Object Store at time 49 = [ [1, 2, 3], [ ] ]

• expression state at time 48 = "return"
• Control Map at time 48 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]

then Control Map at time 49 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]

• expression state at time 49 = "iterate_args"
• arguments stack at time 49 = [ [ 4, [ ] ], [ ] ]

then the expression at time 50 = 4

• expression state at time 49 = "iterate_args"
• arguments stack at time 49 = [ [ 4, [ ] ], [ ] ]

then arguments stack at time 50 = [ [ ], [ ] ]

• expression state at time 49 = "iterate_args"
• arguments stack at time 49 = [ [ 4, [ ] ], [ ] ]

then expression state at time 50 = "begin_expr"

• expression state at time 49 = "iterate_args"
• arguments stack at time 49 = [ [ 4, [ ] ], [ ] ]
• parent stack at time 49 = [ __mul__(value, 4), [ ] ]

then parent stack at time 50 = [ __mul__(value, 4), [ ] ]

• expression state at time 49 = "iterate_args"
• Value Stack at time 49 = [ [ 3, [ ] ], [ ] ]

then Value Stack at time 50 = [ [ 3, [ ] ], [ ] ]

• expression state at time 49 = "iterate_args"
• the line at time 49 = 3

then the line at time 50 = 3

• expression state at time 49 = "iterate_args"
• the tab at time 49 = 1

then the tab at time 50 = 1

• expression state at time 49 = "iterate_args"
• stack at time 49 = [ ]

then stack at time 50 = [ ]

• expression state at time 49 = "iterate_args"
• Python Object Store at time 49 = [ [1, 2, 3], [ ] ]

then Python Object Store at time 50 = [ [1, 2, 3], [ ] ]

• expression state at time 49 = "iterate_args"
• Control Map at time 49 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]

then Control Map at time 50 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]

• expression state at time 49 = "iterate_args"
• Variables Map at time 49 = [ entry numbers: (Python reference 0), [ entry value: 3, [ entry x: 8, [ ] ] ] ]

then Variables Map at time 50 = [ entry numbers: (Python reference 0), [ entry value: 3, [ entry x: 8, [ ] ] ] ]

• expression state at time 49 = "iterate_args"
• Class Map at time 49 = [ ]

then Class Map at time 50 = [ ]

• the expression at time 50 = 4
• expression state at time 50 = "begin_expr"
• 4 is constant
• parent stack at time 50 = [ __mul__(value, 4), [ ] ]

then expression state at time 51 = "return"

• the expression at time 50 = 4
• expression state at time 50 = "begin_expr"
• 4 is constant
• Value Stack at time 50 = [ [ 3, [ ] ], [ ] ]

then Value Stack at time 51 = [ [ 3, [ ] ], [ ] ]

• the expression at time 50 = 4
• expression state at time 50 = "begin_expr"
• 4 is constant
• arguments stack at time 50 = [ [ ], [ ] ]

then arguments stack at time 51 = [ [ ], [ ] ]

• expression state at time 50 = "begin_expr"
• the expression at time 50 = 4
• 4 is constant

then Return Value at time 51 = 4

• expression state at time 50 = "begin_expr"
• the expression at time 50 = 4
• 4 is constant
• parent stack at time 50 = [ __mul__(value, 4), [ ] ]

then parent stack at time 51 = [ __mul__(value, 4), [ ] ]

• expression state at time 50 = "begin_expr"
• the line at time 50 = 3

then the line at time 51 = 3

• expression state at time 50 = "begin_expr"
• the tab at time 50 = 1

then the tab at time 51 = 1

• expression state at time 50 = "begin_expr"
• stack at time 50 = [ ]

then stack at time 51 = [ ]

• expression state at time 50 = "begin_expr"
• Python Object Store at time 50 = [ [1, 2, 3], [ ] ]

then Python Object Store at time 51 = [ [1, 2, 3], [ ] ]

• expression state at time 50 = "begin_expr"
• Control Map at time 50 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]

then Control Map at time 51 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]

• expression state at time 50 = "begin_expr"
• Variables Map at time 50 = [ entry numbers: (Python reference 0), [ entry value: 3, [ entry x: 8, [ ] ] ] ]

then Variables Map at time 51 = [ entry numbers: (Python reference 0), [ entry value: 3, [ entry x: 8, [ ] ] ] ]

• expression state at time 50 = "begin_expr"
• Class Map at time 50 = [ ]

then Class Map at time 51 = [ ]

• expression state at time 51 = "return"
• Value Stack at time 51 = [ [ 3, [ ] ], [ ] ]
• Return Value at time 51 = 4

then Value Stack at time 52 = [ [ 4, [ 3, [ ] ] ], [ ] ]

• expression state at time 51 = "return"
• Variables Map at time 51 = [ entry numbers: (Python reference 0), [ entry value: 3, [ entry x: 8, [ ] ] ] ]

then Variables Map at time 52 = [ entry numbers: (Python reference 0), [ entry value: 3, [ entry x: 8, [ ] ] ] ]

• expression state at time 51 = "return"
• the line at time 51 = 3

then the line at time 52 = 3

• expression state at time 51 = "return"
• the tab at time 51 = 1

then the tab at time 52 = 1

• expression state at time 51 = "return"
• arguments stack at time 51 = [ [ ], [ ] ]

then arguments stack at time 52 = [ [ ], [ ] ]

• expression state at time 51 = "return"
• parent stack at time 51 = [ __mul__(value, 4), [ ] ]

then parent stack at time 52 = [ __mul__(value, 4), [ ] ]

• expression state at time 51 = "return"
• stack at time 51 = [ ]

then stack at time 52 = [ ]

• expression state at time 51 = "return"
• Class Map at time 51 = [ ]

then Class Map at time 52 = [ ]

• expression state at time 51 = "return"
• Python Object Store at time 51 = [ [1, 2, 3], [ ] ]

then Python Object Store at time 52 = [ [1, 2, 3], [ ] ]

• expression state at time 51 = "return"
• Control Map at time 51 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]

then Control Map at time 52 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]

• expression state at time 52 = "iterate_args"
• arguments stack at time 52 = [ [ ], [ ] ]
• parent stack at time 52 = [ __mul__(value, 4), [ ] ]

then expression state at time 53 = "call_function_begin"