- Nov 08, 2019
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Paolo G. Giarrusso authored
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- Sep 13, 2019
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Jacques-Henri Jourdan authored
The general idea is to first import/export modules which are further than the current one, and then import/export modules which are close dependencies. This commit tries to use the same order of imports for every file, and describes the convention in ProofGuide.md. There is one exception, where we do not follow said convention: in program_logic/weakestpre.v, using that order would break printing of texan triples (??).
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- Sep 06, 2019
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Robbert Krebbers authored
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- May 02, 2019
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Robbert Krebbers authored
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- May 01, 2019
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Robbert Krebbers authored
Notably, `big_andL_andL` and `big_andL_and` where a ⊣⊢ and ⊢ version of the same lemma. I favored the `big_opL_op` naming scheme.
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- Feb 21, 2019
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Robbert Krebbers authored
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- Feb 20, 2019
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Robbert Krebbers authored
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- Jan 24, 2019
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Maxime Dénès authored
This is in preparation for coq/coq#9274.
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- Dec 08, 2018
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Robbert Krebbers authored
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- Nov 01, 2018
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Dan Frumin authored
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- Nov 11, 2017
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Robbert Krebbers authored
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- Oct 28, 2017
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Jacques-Henri Jourdan authored
This is to be used on top of stdpp's 4b5d254e.
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- Sep 21, 2017
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Robbert Krebbers authored
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- Aug 17, 2017
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Robbert Krebbers authored
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- Jun 12, 2017
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Robbert Krebbers authored
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- Mar 24, 2017
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Robbert Krebbers authored
This commit fixes the issues that refolding of big operators did not work nicely in the proof mode, e.g., given: Goal forall M (P : nat → uPred M) l, ([∗ list] x ∈ 10 :: l, P x) -∗ True. Proof. iIntros (M P l) "[H1 H2]". We got: "H1" : P 10 "H2" : (fix big_opL (M0 : ofeT) (o : M0 → M0 → M0) (H : Monoid o) (A : Type) (f : nat → A → M0) (xs : list A) {struct xs} : M0 := match xs with | [] => monoid_unit | x :: xs0 => o (f 0 x) (big_opL M0 o H A (λ n : nat, f (S n)) xs0) end) (uPredC M) uPred_sep uPred.uPred_sep_monoid nat (λ _ x : nat, P x) l --------------------------------------∗ True The problem here is that proof mode looked for an instance of `IntoAnd` for `[∗ list] x ∈ 10 :: l, P x` and then applies the instance for separating conjunction without folding back the fixpoint. This problem is not specific to the Iris proof mode, but more of a general problem of Coq's `apply`, for example: Goal forall x l, Forall (fun _ => True) (map S (x :: l)). Proof. intros x l. constructor. Gives: Forall (λ _ : nat, True) ((fix map (l0 : list nat) : list nat := match l0 with | [] => [] | a :: t => S a :: map t end) l) This commit fixes this issue by making the big operators type class opaque and instead handle them solely via corresponding type classes instances for the proof mode tactics. Furthermore, note that we already had instances for persistence and timelessness. Those were really needed; computation did not help to establish persistence when the list in question was not a ground term. In fact, the sitation was worse, to establish persistence of `[∗ list] x ∈ 10 :: l, P x` it could either use the persistence instance of big ops directly, or use the persistency instance for `∗` first. Worst case, this can lead to an exponential blow up because of back tracking.
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Robbert Krebbers authored
Instead, I have introduced a type class `Monoid` that is used by the big operators: Class Monoid {M : ofeT} (o : M → M → M) := { monoid_unit : M; monoid_ne : NonExpansive2 o; monoid_assoc : Assoc (≡) o; monoid_comm : Comm (≡) o; monoid_left_id : LeftId (≡) monoid_unit o; monoid_right_id : RightId (≡) monoid_unit o; }. Note that the operation is an argument because we want to have multiple monoids over the same type (for example, on `uPred`s we have monoids for `∗`, `∧`, and `∨`). However, we do bundle the unit because: - If we would not, the unit would appear explicitly in an implicit argument of the big operators, which confuses rewrite. By bundling the unit in the `Monoid` class it is hidden, and hence rewrite won't even see it. - The unit is unique. We could in principle have big ops over setoids instead of OFEs. However, since we do not have a canonical structure for bundled setoids, I did not go that way.
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