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RecordsTest.v
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RecordsTest.v
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Set Warnings "-notation-overridden,-parsing".
From Coq Require Export String.
From PLF Require Import Records.
Parameter MISSING: Type.
Module Check.
Ltac check_type A B :=
match type of A with
| context[MISSING] => idtac "Missing:" A
| ?T => first [unify T B; idtac "Type: ok" | idtac "Type: wrong - should be (" B ")"]
end.
Ltac print_manual_grade A :=
match eval compute in A with
| Some (_ ?S ?C) =>
idtac "Score:" S;
match eval compute in C with
| ""%string => idtac "Comment: None"
| _ => idtac "Comment:" C
end
| None =>
idtac "Score: Ungraded";
idtac "Comment: None"
end.
End Check.
From PLF Require Import Records.
Import Check.
Goal True.
idtac "------------------- examples --------------------".
idtac " ".
idtac "#> STLCExtendedRecords.typing_example_2".
idtac "Possible points: 0.5".
check_type @STLCExtendedRecords.typing_example_2 (
(STLCExtendedRecords.has_type (@Maps.empty STLCExtendedRecords.ty)
(STLCExtendedRecords.tm_app
(STLCExtendedRecords.tm_abs STLCExtendedRecords.a
(STLCExtendedRecords.Ty_RCons STLCExtendedRecords.i1
(STLCExtendedRecords.Ty_Arrow STLCExtendedRecords.A
STLCExtendedRecords.A)
(STLCExtendedRecords.Ty_RCons STLCExtendedRecords.i2
(STLCExtendedRecords.Ty_Arrow STLCExtendedRecords.B
STLCExtendedRecords.B) STLCExtendedRecords.Ty_RNil))
(STLCExtendedRecords.tm_rproj
(STLCExtendedRecords.tm_var STLCExtendedRecords.a)
STLCExtendedRecords.i2))
(STLCExtendedRecords.tm_rcons STLCExtendedRecords.i1
(STLCExtendedRecords.tm_abs STLCExtendedRecords.a
STLCExtendedRecords.A
(STLCExtendedRecords.tm_var STLCExtendedRecords.a))
(STLCExtendedRecords.tm_rcons STLCExtendedRecords.i2
(STLCExtendedRecords.tm_abs STLCExtendedRecords.a
STLCExtendedRecords.B
(STLCExtendedRecords.tm_var STLCExtendedRecords.a))
STLCExtendedRecords.tm_rnil)))
(STLCExtendedRecords.Ty_Arrow STLCExtendedRecords.B STLCExtendedRecords.B))).
idtac "Assumptions:".
Abort.
Print Assumptions STLCExtendedRecords.typing_example_2.
Goal True.
idtac " ".
idtac "#> STLCExtendedRecords.typing_nonexample".
idtac "Possible points: 0.5".
check_type @STLCExtendedRecords.typing_nonexample (
(~
(exists T : STLCExtendedRecords.ty,
STLCExtendedRecords.has_type
(@Maps.update STLCExtendedRecords.ty
(@Maps.empty STLCExtendedRecords.ty) STLCExtendedRecords.a
(STLCExtendedRecords.Ty_RCons STLCExtendedRecords.i2
(STLCExtendedRecords.Ty_Arrow STLCExtendedRecords.A
STLCExtendedRecords.A) STLCExtendedRecords.Ty_RNil))
(STLCExtendedRecords.tm_rcons STLCExtendedRecords.i1
(STLCExtendedRecords.tm_abs STLCExtendedRecords.a
STLCExtendedRecords.B
(STLCExtendedRecords.tm_var STLCExtendedRecords.a))
(STLCExtendedRecords.tm_var STLCExtendedRecords.a)) T))).
idtac "Assumptions:".
Abort.
Print Assumptions STLCExtendedRecords.typing_nonexample.
Goal True.
idtac " ".
idtac "#> STLCExtendedRecords.typing_nonexample_2".
idtac "Possible points: 1".
check_type @STLCExtendedRecords.typing_nonexample_2 (
(forall y : String.string,
~
(exists T : STLCExtendedRecords.ty,
STLCExtendedRecords.has_type
(@Maps.update STLCExtendedRecords.ty
(@Maps.empty STLCExtendedRecords.ty) y STLCExtendedRecords.A)
(STLCExtendedRecords.tm_app
(STLCExtendedRecords.tm_abs STLCExtendedRecords.a
(STLCExtendedRecords.Ty_RCons STLCExtendedRecords.i1
STLCExtendedRecords.A STLCExtendedRecords.Ty_RNil)
(STLCExtendedRecords.tm_rproj
(STLCExtendedRecords.tm_var STLCExtendedRecords.a)
STLCExtendedRecords.i1))
(STLCExtendedRecords.tm_rcons STLCExtendedRecords.i1
(STLCExtendedRecords.tm_var y)
(STLCExtendedRecords.tm_rcons STLCExtendedRecords.i2
(STLCExtendedRecords.tm_var y) STLCExtendedRecords.tm_rnil)))
T))).
idtac "Assumptions:".
Abort.
Print Assumptions STLCExtendedRecords.typing_nonexample_2.
Goal True.
idtac " ".
idtac " ".
idtac "Max points - standard: 2".
idtac "Max points - advanced: 2".
idtac "".
idtac "Allowed Axioms:".
idtac "functional_extensionality".
idtac "FunctionalExtensionality.functional_extensionality_dep".
idtac "".
idtac "".
idtac "********** Summary **********".
idtac "".
idtac "Below is a summary of the automatically graded exercises that are incomplete.".
idtac "".
idtac "The output for each exercise can be any of the following:".
idtac " - 'Closed under the global context', if it is complete".
idtac " - 'MANUAL', if it is manually graded".
idtac " - A list of pending axioms, containing unproven assumptions. In this case".
idtac " the exercise is considered complete, if the axioms are all allowed.".
idtac "".
idtac "********** Standard **********".
idtac "---------- STLCExtendedRecords.typing_example_2 ---------".
Print Assumptions STLCExtendedRecords.typing_example_2.
idtac "---------- STLCExtendedRecords.typing_nonexample ---------".
Print Assumptions STLCExtendedRecords.typing_nonexample.
idtac "---------- STLCExtendedRecords.typing_nonexample_2 ---------".
Print Assumptions STLCExtendedRecords.typing_nonexample_2.
idtac "".
idtac "********** Advanced **********".
Abort.
(* 2020-09-09 21:09 *)