Proofs

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

then Control Map at time 5 = [ ]

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

then Control Map at time 6 = [ ]

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

then Control Map at time 7 = [ ]

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

then Control Map at time 8 = [ ]

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

then Control Map at time 9 = [ ]

• expression state at time 9 = "call_function_begin"
• Control Map at time 9 = [ ]

then Control Map at time 10 = [ ]

• the line at time 10 = 1
• the tab at time 10 = 0
• statement at line 1, tab 0 = if __eq__(3, 3):
• expression state at time 10 = "end_expr"
• Return Value at time 10 = True
• Control Map at time 10 = [ ]

then Control Map at time 11 = [ entry 0: (pair ("if", True)), [ ] ]

• the line at time 11 = 2
• the tab at time 11 = 1
• statement at line 2, tab 1 = a = 7
• Control Map at time 11 = [ entry 0: (pair ("if", True)), [ ] ]

then Control Map at time 12 = [ entry 0: (pair ("if", True)), [ ] ]

• the line at time 12 = 3
• the tab at time 12 = 1
• statement at line 3, tab 0 = else:
• Control Map at time 12 = [ entry 0: (pair ("if", True)), [ ] ]

then Control Map at time 13 = [ entry 0: (pair ("if", True)), [ ] ]

• the line at time 13 = 3
• the tab at time 13 = 0
• statement at line 3, tab 0 = else:
• Control Map at time 13 = [ entry 0: (pair ("if", True)), [ ] ]

then Control Map at time 14 = [ entry 0: (pair ("if", True)), [ ] ]

• the line at time 14 = 4
• the tab at time 14 = 0
• statement at line 4, tab 1 = a = 9
• Control Map at time 14 = [ entry 0: (pair ("if", True)), [ ] ]

then Control Map at time 15 = [ entry 0: (pair ("if", True)), [ ] ]

• the line at time 0 = 1
• the tab at time 0 = 0
• statement at line 1, tab 0 = if __eq__(1, 3):
• expression state at time 0 = "not_expr"
• Control Map at time 0 = [ ]

then Control Map at time 1 = [ ]

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

then Control Map at time 2 = [ ]

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

then Control Map at time 3 = [ ]

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

then Control Map at time 4 = [ ]

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

then Control Map at time 5 = [ ]

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

then Control Map at time 6 = [ ]

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

then Control Map at time 7 = [ ]

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

then Control Map at time 8 = [ ]

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

then Control Map at time 9 = [ ]

• expression state at time 9 = "call_function_begin"
• Control Map at time 9 = [ ]

then Control Map at time 10 = [ ]

• the line at time 10 = 1
• the tab at time 10 = 0
• statement at line 1, tab 0 = if __eq__(1, 3):
• expression state at time 10 = "end_expr"
• Return Value at time 10 = False
• Control Map at time 10 = [ ]

then Control Map at time 11 = [ entry 0: (pair ("if", False)), [ ] ]

• the line at time 11 = 2
• the tab at time 11 = 0
• statement at line 2, tab 1 = a = 7
• Control Map at time 11 = [ entry 0: (pair ("if", False)), [ ] ]

then Control Map at time 12 = [ entry 0: (pair ("if", False)), [ ] ]

• the line at time 12 = 3
• the tab at time 12 = 0
• statement at line 3, tab 0 = else:
• Control Map at time 12 = [ entry 0: (pair ("if", False)), [ ] ]

then Control Map at time 13 = [ entry 0: (pair ("if", False)), [ ] ]

• the line at time 13 = 4
• the tab at time 13 = 1
• statement at line 4, tab 1 = a = 9
• Control Map at time 13 = [ entry 0: (pair ("if", False)), [ ] ]

then Control Map at time 14 = [ entry 0: (pair ("if", False)), [ ] ]

• the line at time 0 = 1
• the tab at time 0 = 0
• statement at line 1, tab 0 = def add_three(x):
• Control Map at time 0 = [ ]

then Control Map at time 1 = [ ]

• the line at time 0 = 1
• the tab at time 0 = 0
• statement at line 1, tab 0 = def add_three(x):
• Class Map at time 0 = [ ]

then Class Map at time 1 = [ ]

• the line at time 1 = 2
• the tab at time 1 = 0
• statement at line 2, tab 1 = z = __add__(x, 3)
• Variables Map at time 1 = [ ]

then Variables Map at time 2 = [ ]

• the line at time 1 = 2
• the tab at time 1 = 0
• statement at line 2, tab 1 = z = __add__(x, 3)
• stack at time 1 = [ ]

then stack at time 2 = [ ]

• the line at time 1 = 2
• the tab at time 1 = 0
• statement at line 2, tab 1 = z = __add__(x, 3)
• Python Object Store at time 1 = [ ]

then Python Object Store at time 2 = [ ]

• the line at time 1 = 2
• the tab at time 1 = 0
• statement at line 2, tab 1 = z = __add__(x, 3)
• Control Map at time 1 = [ ]

then Control Map at time 2 = [ ]

• the line at time 1 = 2
• the tab at time 1 = 0
• statement at line 2, tab 1 = z = __add__(x, 3)
• Class Map at time 1 = [ ]

then Class Map at time 2 = [ ]

• the line at time 2 = 3
• the tab at time 2 = 0
• statement at line 3, tab 1 = return z
• Variables Map at time 2 = [ ]

then Variables Map at time 3 = [ ]

• the line at time 2 = 3
• the tab at time 2 = 0
• statement at line 3, tab 1 = return z
• stack at time 2 = [ ]

then stack at time 3 = [ ]

• the line at time 2 = 3
• the tab at time 2 = 0
• statement at line 3, tab 1 = return z
• Python Object Store at time 2 = [ ]

then Python Object Store at time 3 = [ ]

• the line at time 2 = 3
• the tab at time 2 = 0
• statement at line 3, tab 1 = return z
• Control Map at time 2 = [ ]

then Control Map at time 3 = [ ]

• the line at time 2 = 3
• the tab at time 2 = 0
• statement at line 3, tab 1 = return z
• Class Map at time 2 = [ ]

then Class Map at time 3 = [ ]

• the line at time 3 = 4
• the tab at time 3 = 0
• statement at line 4, tab 0 = a = 5
• Control Map at time 3 = [ ]

then Control Map at time 4 = [ ]

• the line at time 3 = 4
• the tab at time 3 = 0
• statement at line 4, tab 0 = a = 5
• Class Map at time 3 = [ ]

then Class Map at time 4 = [ ]

• the line at time 4 = 5
• the tab at time 4 = 0
• statement at line 5, tab 0 = b = add_three(a)
• Control Map at time 4 = [ ]

then Control Map at time 5 = [ ]

• the line at time 4 = 5
• the tab at time 4 = 0
• statement at line 5, tab 0 = b = add_three(a)
• Class Map at time 4 = [ ]

then Class Map at time 5 = [ ]

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

then Control Map at time 6 = [ ]

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

then Class Map at time 6 = [ ]

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

then Control Map at time 7 = [ ]

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

then Class Map at time 7 = [ ]

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

then Control Map at time 8 = [ ]

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

then Class Map at time 8 = [ ]

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

then Class Map at time 9 = [ ]

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

then Control Map at time 9 = [ ]

• expression state at time 9 = "iterate_args"
• Control Map at time 9 = [ ]

then Control Map at time 10 = [ ]

• expression state at time 9 = "iterate_args"
• Class Map at time 9 = [ ]

then Class Map at time 10 = [ ]

• expression state at time 10 = "call_function_begin"
• Control Map at time 10 = [ ]

then Control Map at time 11 = [ ]

• expression state at time 10 = "call_function_begin"
• Class Map at time 10 = [ ]

then Class Map at time 11 = [ ]

• expression state at time 11 = "call_build_args"
• Parameters List at time 11 = [ x, [ ] ]
• Argument Values at time 11 = [ 5, [ ] ]
• Control Map at time 11 = [ ]

then Control Map at time 12 = [ ]

• expression state at time 11 = "call_build_args"
• Parameters List at time 11 = [ x, [ ] ]
• the line at time 11 = 5

then the line at time 12 = 5

• expression state at time 11 = "call_build_args"
• Parameters List at time 11 = [ x, [ ] ]
• the tab at time 11 = 0

then the tab at time 12 = 0

• expression state at time 11 = "call_build_args"
• Class Map at time 11 = [ ]

then Class Map at time 12 = [ ]

• expression state at time 12 = "call_build_args"
• Parameters List at time 12 = [ ]
• the expression at time 12 = add_three(a)
• there is a function named "add_three" with parameters [ x, [ ] ] at line 1

then Control Map at time 13 = [ entry 0: (pair ("function", "add_three")), [ ] ]

• expression state at time 12 = "call_build_args"
• Class Map at time 12 = [ ]

then Class Map at time 13 = [ ]

• the line at time 13 = 2
• the tab at time 13 = 1
• statement at line 2, tab 1 = z = __add__(x, 3)
• Control Map at time 13 = [ entry 0: (pair ("function", "add_three")), [ ] ]

then Control Map at time 14 = [ entry 0: (pair ("function", "add_three")), [ ] ]

• the line at time 13 = 2
• the tab at time 13 = 1
• statement at line 2, tab 1 = z = __add__(x, 3)
• Class Map at time 13 = [ ]

then Class Map at time 14 = [ ]

• expression state at time 14 = "begin_expr"
• Control Map at time 14 = [ entry 0: (pair ("function", "add_three")), [ ] ]

then Control Map at time 15 = [ entry 0: (pair ("function", "add_three")), [ ] ]

• expression state at time 14 = "begin_expr"
• Class Map at time 14 = [ ]

then Class Map at time 15 = [ ]

• expression state at time 15 = "iterate_args"
• Control Map at time 15 = [ entry 0: (pair ("function", "add_three")), [ ] ]

then Control Map at time 16 = [ entry 0: (pair ("function", "add_three")), [ ] ]

• expression state at time 15 = "iterate_args"
• Class Map at time 15 = [ ]

then Class Map at time 16 = [ ]

• expression state at time 16 = "begin_expr"
• Control Map at time 16 = [ entry 0: (pair ("function", "add_three")), [ ] ]

then Control Map at time 17 = [ entry 0: (pair ("function", "add_three")), [ ] ]

• expression state at time 16 = "begin_expr"
• Class Map at time 16 = [ ]

then Class Map at time 17 = [ ]

• expression state at time 17 = "return"
• Class Map at time 17 = [ ]

then Class Map at time 18 = [ ]

• expression state at time 17 = "return"
• Control Map at time 17 = [ entry 0: (pair ("function", "add_three")), [ ] ]

then Control Map at time 18 = [ entry 0: (pair ("function", "add_three")), [ ] ]

• expression state at time 18 = "iterate_args"
• Control Map at time 18 = [ entry 0: (pair ("function", "add_three")), [ ] ]

then Control Map at time 19 = [ entry 0: (pair ("function", "add_three")), [ ] ]

• expression state at time 18 = "iterate_args"
• Class Map at time 18 = [ ]

then Class Map at time 19 = [ ]

• expression state at time 19 = "begin_expr"
• Control Map at time 19 = [ entry 0: (pair ("function", "add_three")), [ ] ]

then Control Map at time 20 = [ entry 0: (pair ("function", "add_three")), [ ] ]

• expression state at time 19 = "begin_expr"
• Class Map at time 19 = [ ]

then Class Map at time 20 = [ ]

• expression state at time 20 = "return"
• Class Map at time 20 = [ ]

then Class Map at time 21 = [ ]

• expression state at time 20 = "return"
• Control Map at time 20 = [ entry 0: (pair ("function", "add_three")), [ ] ]

then Control Map at time 21 = [ entry 0: (pair ("function", "add_three")), [ ] ]

• expression state at time 21 = "iterate_args"
• Control Map at time 21 = [ entry 0: (pair ("function", "add_three")), [ ] ]

then Control Map at time 22 = [ entry 0: (pair ("function", "add_three")), [ ] ]

• expression state at time 21 = "iterate_args"
• Class Map at time 21 = [ ]

then Class Map at time 22 = [ ]

• expression state at time 22 = "call_function_begin"
• Control Map at time 22 = [ entry 0: (pair ("function", "add_three")), [ ] ]

then Control Map at time 23 = [ entry 0: (pair ("function", "add_three")), [ ] ]

• expression state at time 22 = "call_function_begin"
• Class Map at time 22 = [ ]

then Class Map at time 23 = [ ]

• the line at time 23 = 2
• the tab at time 23 = 1
• statement at line 2, tab 1 = z = __add__(x, 3)
• expression state at time 23 = "end_expr"

then the line at time 24 = 3

• the line at time 23 = 2
• the tab at time 23 = 1
• statement at line 2, tab 1 = z = __add__(x, 3)
• expression state at time 23 = "end_expr"

then the tab at time 24 = 1

• the line at time 23 = 2
• the tab at time 23 = 1
• statement at line 2, tab 1 = z = __add__(x, 3)
• expression state at time 23 = "end_expr"
• Python Object Store at time 23 = [ ]

then Python Object Store at time 24 = [ ]

• the line at time 23 = 2
• the tab at time 23 = 1
• statement at line 2, tab 1 = z = __add__(x, 3)
• Control Map at time 23 = [ entry 0: (pair ("function", "add_three")), [ ] ]

then Control Map at time 24 = [ entry 0: (pair ("function", "add_three")), [ ] ]

• the line at time 23 = 2
• the tab at time 23 = 1
• statement at line 2, tab 1 = z = __add__(x, 3)
• Class Map at time 23 = [ ]

then Class Map at time 24 = [ ]

• the line at time 24 = 3
• the tab at time 24 = 1
• statement at line 3, tab 1 = return z
• Class Map at time 24 = [ ]

then Class Map at time 25 = [ ]

• the line at time 24 = 3
• the tab at time 24 = 1
• statement at line 3, tab 1 = return z
• z is a variable
• Python Object Store at time 24 = [ ]

then Python Object Store at time 25 = [ ]

• the line at time 24 = 3
• the tab at time 24 = 1
• statement at line 3, tab 1 = return z
• z is a variable
• stack at time 24 = [ program context with variables: [ entry a: 5, [ ] ] and expression state: (expression state with parent stack: [ ] arguments: [ ] values: [ ] line: 5 tab: 0) and control map: [ ], [ ] ]

then Control Map at time 25 = [ ]