223 lines
5.6 KiB
Coq
223 lines
5.6 KiB
Coq
Set Warnings "-notation-overridden,-parsing".
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From Coq Require Export String.
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From LF Require Import Tactics.
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Parameter MISSING: Type.
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Module Check.
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Ltac check_type A B :=
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match type of A with
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| context[MISSING] => idtac "Missing:" A
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| ?T => first [unify T B; idtac "Type: ok" | idtac "Type: wrong - should be (" B ")"]
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end.
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Ltac print_manual_grade A :=
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match eval compute in A with
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| Some (_ ?S ?C) =>
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idtac "Score:" S;
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match eval compute in C with
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| ""%string => idtac "Comment: None"
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| _ => idtac "Comment:" C
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end
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| None =>
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idtac "Score: Ungraded";
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idtac "Comment: None"
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end.
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End Check.
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From LF Require Import Tactics.
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Import Check.
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Goal True.
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idtac "------------------- apply_exercise1 --------------------".
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idtac " ".
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idtac "#> rev_exercise1".
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idtac "Possible points: 3".
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check_type @rev_exercise1 ((forall l l' : list nat, l = @rev nat l' -> l' = @rev nat l)).
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idtac "Assumptions:".
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Abort.
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Print Assumptions rev_exercise1.
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Goal True.
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idtac " ".
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idtac "------------------- injection_ex3 --------------------".
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idtac " ".
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idtac "#> injection_ex3".
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idtac "Possible points: 1".
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check_type @injection_ex3 (
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(forall (X : Type) (x y z : X) (l j : list X),
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x :: y :: l = z :: j -> y :: l = x :: j -> x = y)).
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idtac "Assumptions:".
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Abort.
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Print Assumptions injection_ex3.
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Goal True.
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idtac " ".
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idtac "------------------- discriminate_ex3 --------------------".
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idtac " ".
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idtac "#> discriminate_ex3".
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idtac "Possible points: 1".
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check_type @discriminate_ex3 (
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(forall (X : Type) (x y z : X) (l : list X),
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list X -> x :: y :: l = [ ] -> x = z)).
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idtac "Assumptions:".
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Abort.
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Print Assumptions discriminate_ex3.
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Goal True.
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idtac " ".
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idtac "------------------- plus_n_n_injective --------------------".
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idtac " ".
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idtac "#> plus_n_n_injective".
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idtac "Possible points: 3".
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check_type @plus_n_n_injective ((forall n m : nat, n + n = m + m -> n = m)).
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idtac "Assumptions:".
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Abort.
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Print Assumptions plus_n_n_injective.
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Goal True.
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idtac " ".
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idtac "------------------- eqb_true --------------------".
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idtac " ".
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idtac "#> eqb_true".
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idtac "Possible points: 2".
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check_type @eqb_true ((forall n m : nat, (n =? m) = true -> n = m)).
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idtac "Assumptions:".
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Abort.
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Print Assumptions eqb_true.
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Goal True.
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idtac " ".
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idtac "------------------- eqb_true_informal --------------------".
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idtac " ".
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idtac "#> Manually graded: informal_proof".
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idtac "Advanced".
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idtac "Possible points: 2".
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print_manual_grade manual_grade_for_informal_proof.
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idtac " ".
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idtac "------------------- gen_dep_practice --------------------".
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idtac " ".
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idtac "#> nth_error_after_last".
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idtac "Possible points: 3".
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check_type @nth_error_after_last (
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(forall (n : nat) (X : Type) (l : list X),
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@length X l = n -> @nth_error X l n = @None X)).
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idtac "Assumptions:".
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Abort.
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Print Assumptions nth_error_after_last.
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Goal True.
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idtac " ".
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idtac "------------------- destruct_eqn_practice --------------------".
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idtac " ".
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idtac "#> bool_fn_applied_thrice".
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idtac "Possible points: 2".
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check_type @bool_fn_applied_thrice (
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(forall (f : bool -> bool) (b : bool), f (f (f b)) = f b)).
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idtac "Assumptions:".
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Abort.
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Print Assumptions bool_fn_applied_thrice.
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Goal True.
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idtac " ".
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idtac "------------------- eqb_sym --------------------".
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idtac " ".
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idtac "#> eqb_sym".
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idtac "Possible points: 3".
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check_type @eqb_sym ((forall n m : nat, (n =? m) = (m =? n))).
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idtac "Assumptions:".
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Abort.
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Print Assumptions eqb_sym.
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Goal True.
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idtac " ".
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idtac "------------------- split_combine --------------------".
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idtac " ".
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idtac "#> Manually graded: split_combine".
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idtac "Advanced".
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idtac "Possible points: 3".
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print_manual_grade manual_grade_for_split_combine.
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idtac " ".
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idtac "------------------- filter_exercise --------------------".
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idtac " ".
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idtac "#> filter_exercise".
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idtac "Advanced".
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idtac "Possible points: 3".
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check_type @filter_exercise (
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(forall (X : Type) (test : X -> bool) (x : X) (l lf : list X),
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@filter X test l = x :: lf -> test x = true)).
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idtac "Assumptions:".
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Abort.
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Print Assumptions filter_exercise.
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Goal True.
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idtac " ".
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idtac "------------------- forall_exists_challenge --------------------".
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idtac " ".
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idtac "#> existsb_existsb'".
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idtac "Advanced".
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idtac "Possible points: 4".
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check_type @existsb_existsb' (
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(forall (X : Type) (test : X -> bool) (l : list X),
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@existsb X test l = @existsb' X test l)).
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idtac "Assumptions:".
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Abort.
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Print Assumptions existsb_existsb'.
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Goal True.
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idtac " ".
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idtac " ".
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idtac "Max points - standard: 18".
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idtac "Max points - advanced: 30".
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idtac "".
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idtac "********** Summary **********".
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idtac "".
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idtac "********** Standard **********".
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idtac "---------- rev_exercise1 ---------".
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Print Assumptions rev_exercise1.
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idtac "---------- injection_ex3 ---------".
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Print Assumptions injection_ex3.
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idtac "---------- discriminate_ex3 ---------".
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Print Assumptions discriminate_ex3.
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idtac "---------- plus_n_n_injective ---------".
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Print Assumptions plus_n_n_injective.
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idtac "---------- eqb_true ---------".
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Print Assumptions eqb_true.
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idtac "---------- nth_error_after_last ---------".
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Print Assumptions nth_error_after_last.
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idtac "---------- bool_fn_applied_thrice ---------".
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Print Assumptions bool_fn_applied_thrice.
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idtac "---------- eqb_sym ---------".
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Print Assumptions eqb_sym.
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idtac "".
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idtac "********** Advanced **********".
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idtac "---------- informal_proof ---------".
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idtac "MANUAL".
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idtac "---------- split_combine ---------".
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idtac "MANUAL".
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idtac "---------- filter_exercise ---------".
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Print Assumptions filter_exercise.
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idtac "---------- existsb_existsb' ---------".
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Print Assumptions existsb_existsb'.
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Abort.
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(* Wed Jan 9 12:02:11 EST 2019 *)
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