Conditional Properties

In each statement, if the test expression is true, then the conclusion expression is also assumed to be true. Conditional properties are used to prove theorems.

Skip Elif Block (2)

if the following are true:

then the tab at time (t + 1) = j


Skip Elif Block (3)

if the following are true:

then Variables Map at time (t + 1) = Variables Map at time t


Skip Elif Block (4)

if the following are true:

then Control Map at time (t + 1) = Control Map at time t


Skip Elif Block (5)

if the following are true:

then Python Object Store at time (t + 1) = Python Object Store at time t


Skip Elif Block (6)

if the following are true:

then Context Stack at time (t + 1) = Context Stack at time t


Unchanged When Elif Ended (1)

if the following are true:

then Python Object Store at time (t + 1) = Python Object Store at time t


Unchanged When Elif Ended (2)

if the following are true:

then Variables Map at time (t + 1) = Variables Map at time t


Unchanged When Elif Ended (3)

if the following are true:

then Context Stack at time (t + 1) = Context Stack at time t


Elif Test Is True (1)

if the following are true:

then the line at time (t + 1) = i + 1


Elif Test Is True (2)

if the following are true:

then the tab at time (t + 1) = j + 1


Elif Test Is True (3)

if the following are true:

then Control Map at time (t + 1) = result of storing (pair ("if", True)) at key: j in map: (Control Map at time t)


Elif Test Is False (1)

if the following are true:

then the line at time (t + 1) = i + 1


Elif Test Is False (2)

if the following are true:

then the tab at time (t + 1) = j


Elif Test Is False (3)

if the following are true:

then Control Map at time (t + 1) = Control Map at time t


Elif unchanged

if the following are true:

then Class Map at time (t + 1) = Class Map at time t


On Else (1)

if the following are true:

then the line at time (t + 1) = i + 1


On Else (2)

if the following are true:

then the tab at time (t + 1) = j + 1


Skip Else Block (1)

if the following are true:

then the line at time (t + 1) = i + 1


Skip Else Block (2)

if the following are true:

then the tab at time (t + 1) = j


Unchanged On Else (1)

if the following are true:

then Variables Map at time (t + 1) = Variables Map at time t


Unchanged On Else (2)

if the following are true:

then Context Stack at time (t + 1) = Context Stack at time t


Unchanged On Else (3)

if the following are true:

then Python Object Store at time (t + 1) = Python Object Store at time t


Unchanged On Else (4)

if the following are true:

then Control Map at time (t + 1) = Control Map at time t


Unchanged On Else (5)

if the following are true:

then Class Map at time (t + 1) = Class Map at time t


Unchanged On Else (6)

if the following are true:

then Expression Stack at time (t + 1) = [ ]


Decrement Tab At End of If (1)

if the following are true:

then the line at time (t + 1) = i


Decrement Tab At End of If (2)

if the following are true:

then the tab at time (t + 1) = j - 1


Decrement Tab At End of If (3)

if the following are true:

then Variables Map at time (t + 1) = Variables Map at time t


Decrement Tab At End of If (4)

if the following are true:

then Context Stack at time (t + 1) = Context Stack at time t


Decrement Tab At End of If (5)

if the following are true:

then Python Object Store at time (t + 1) = Python Object Store at time t


Decrement Tab At End of If (6)

if the following are true:

then Class Map at time (t + 1) = Class Map at time t


Decrement Tab At End of If (7)

if the following are true:

then Control Map at time (t + 1) = Control Map at time t


Begin While Test (1)

if the following are true:

then Expression Stack at time (t + 1) = [ [ test, [ ] ], [ ] ]


Begin While Test (2)

if the following are true:

then the line at time (t + 1) = i


Begin While Test (3)

if the following are true:

then the tab at time (t + 1) = j


Begin While Test (4)

if the following are true:

then Value Stack at time (t + 1) = [ [ ], [ ] ]


Begin While Test (5)

if the following are true:

then Python Object Store at time (t + 1) = Python Object Store at time t


Begin While Test (6)

if the following are true:

then Control Map at time (t + 1) = Control Map at time t


Begin While Test (7)

if the following are true:

then Variables Map at time (t + 1) = Variables Map at time t


Begin While Test (8)

if the following are true:

then Context Stack at time (t + 1) = Context Stack at time t


Unchanged During While

if the following are true:

then Class Map at time (t + 1) = Class Map at time t


While Ended (1)

if the following are true:

then the line at time (t + 1) = i + 1


While Ended (2)

if the following are true:

then Python Object Store at time (t + 1) = Python Object Store at time t


While Ended (3)

if the following are true:

then Variables Map at time (t + 1) = Variables Map at time t


While Ended (4)

if the following are true:

then Context Stack at time (t + 1) = Context Stack at time t


While Test Is True (1)

if the following are true:

then the tab at time (t + 1) = j + 1


While Test Is True (2)

if the following are true:

then Control Map at time (t + 1) = result of storing (pair ("while", i)) at key: j in map: (Control Map at time t)


While Test Is False (1)

if the following are true:

then the tab at time (t + 1) = j


While Test Is False (2)

if the following are true:

then Control Map at time (t + 1) = Control Map at time t


On Break Statement (1)

if the following are true:

then "break" state at (t + 1) = "breaking"


On Break Statement (2)

if the following are true:

then the line at time (t + 1) = i


On Break Statement (3)

if the following are true:

then the tab at time (t + 1) = j


On Break Statement (4)

if the following are true:

then Variables Map at time (t + 1) = Variables Map at time t


On Break Statement (5)

if the following are true:

then Context Stack at time (t + 1) = Context Stack at time t


On Break Statement (6)

if the following are true:

then Python Object Store at time (t + 1) = Python Object Store at time t


On Break Statement (7)

if the following are true:

then Control Map at time (t + 1) = Control Map at time t


On Break Statement (8)

if the following are true:

then Class Map at time (t + 1) = Class Map at time t


On Continue Statement (1)

if the following are true:

then "continue" state at (t + 1) = "continuing"


On Continue Statement (2)

if the following are true:

then the line at time (t + 1) = i


On Continue Statement (3)

if the following are true:

then the tab at time (t + 1) = j


On Continue Statement (4)

if the following are true:

then Expression Stack at time (t + 1) = [ ]


On Continue Statement (5)

if the following are true:

then Variables Map at time (t + 1) = Variables Map at time t


On Continue Statement (6)

if the following are true:

then Context Stack at time (t + 1) = Context Stack at time t


On Continue Statement (7)

if the following are true:

then Python Object Store at time (t + 1) = Python Object Store at time t


On Continue Statement (8)

if the following are true:

then Control Map at time (t + 1) = Control Map at time t


On Continue Statement (9)

if the following are true:

then Class Map at time (t + 1) = Class Map at time t


On Function Definition (1)

if the following are true:

then there is a function named name with parameters params at line line


On Function Definition (2)

if the following are true:

then Variables Map at time (t + 1) = Variables Map at time t


On Function Definition (3)

if the following are true:

then the line at time (t + 1) = i + 1


On Function Definition (4)

if the following are true:

then the tab at time (t + 1) = j


On Function Definition (5)

if the following are true:

then Context Stack at time (t + 1) = Context Stack at time t


On Function Definition (6)

if the following are true:

then Python Object Store at time (t + 1) = Python Object Store at time t


On Function Definition (7)

if the following are true:

then Control Map at time (t + 1) = Control Map at time t


On Function Definition (8)

if the following are true:

then Class Map at time (t + 1) = Class Map at time t


Return If Stack

if the following are true:

then Class Map at time (t + 1) = Class Map at time t


Object Store On Return Constant

if the following are true:

then Python Object Store at time (t + 1) = Python Object Store at time t


Variable Object Store

if the following are true:

then Python Object Store at time (t + 1) = Python Object Store at time t


Return Statement Start (1)

if the following are true:

then Expression Stack at time (t + 1) = [ [ rex, [ ] ], [ ] ]


Return Statement Start (2)

if the following are true:

then Value Stack at time (t + 1) = [ [ ], [ ] ]


Return Statement Start (3)

if the following are true:

then the line at time (t + 1) = i


Return Statement Start (4)

if the following are true:

then the tab at time (t + 1) = j


Return Statement Start (5)

if the following are true:

then Variables Map at time (t + 1) = Variables Map at time t


Return Statement Start (6)

if the following are true:

then Context Stack at time (t + 1) = Context Stack at time t


Return Statement Start (7)

if the following are true:

then Python Object Store at time (t + 1) = Python Object Store at time t


Return Statement Start (8)

if the following are true:

then Control Map at time (t + 1) = Control Map at time t


Return Ended Pop Stack (1)

if the following are true:

then Variables Map at time (t + 1) = vars


Return Ended Pop Stack (2)

if the following are true:

then the line at time (t + 1) = line


Return Ended Pop Stack (3)

if the following are true:

then the tab at time (t + 1) = tab


Return Ended Pop Stack (4)

if the following are true:

then Control Map at time (t + 1) = control_map


Return Ended Pop Stack (5)

if the following are true:

then Context Stack at time (t + 1) = rest


Return Ended Pop Stack (6)

if the following are true:

then Expression Stack at time (t + 1) = expr_stack


Return Ended Pop Stack (7)

if the following are true:

then Value Stack at time (t + 1) = value_stack


Set Return Value At End Of Return Statement

if the following are true:

then Return Value at time (t + 1) = [ value, [ ] ]


Returning Object Store

if the following are true:

then Python Object Store at time (t + 1) = Python Object Store at time t


Minimum Value

if a is less than (minimum value of stack xs), then minimum value of stack [ a, xs ] = a


Minimum Value Number

if a < minimum value of stack xs, then minimum value of stack [ a, xs ] = a


Minimum Value (2)

if xs is greater than (minimum value of stack xss), then minimum value of stack [ xs, xss ] = minimum value of stack xss


Minimum Value Number (2)

if a > minimum value of stack xs, then minimum value of stack [ a, xs ] = minimum value of stack xs


Maximum Value Number

if a > maximum value in stack xs, then maximum value in stack [ a, xs ] = a


Maximum Value Number (2)

if a < maximum value in stack xs, then maximum value in stack [ a, xs ] = maximum value in stack xs


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