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  1. Mar 24, 2017
    • Robbert Krebbers's avatar
      Generic big operators that are no longer tied to CMRAs. · 6fbff46e
      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.
      6fbff46e
    • Robbert Krebbers's avatar
      Remove Hints and Instances that are no longer needed. · c52ff261
      Robbert Krebbers authored
      Big ops over list with a cons reduce, hence these just follow
      immediately from conversion.
      c52ff261
    • Robbert Krebbers's avatar
  2. Mar 23, 2017
  3. Mar 22, 2017
  4. Mar 21, 2017
  5. Mar 20, 2017
  6. Mar 16, 2017
  7. Mar 15, 2017
  8. Mar 14, 2017
    • Robbert Krebbers's avatar
      Misc properties about languages. · 4e1bdcc7
      Robbert Krebbers authored
      4e1bdcc7
    • Robbert Krebbers's avatar
      Shorten a lemma. · 3bdeb62f
      Robbert Krebbers authored
      3bdeb62f
    • Robbert Krebbers's avatar
      Define `fill` in terms of a `foldl` over `fill_item`. · 6fc9c27e
      Robbert Krebbers authored
      This has some advantages:
      
      - Evaluation contexts behave like a proper "Huet's zipper", and thus:
        + We no longer need to reverse the list of evaluation context items in the
          `reshape_expr` tactic.
        + The `fill` function becomes tail-recursive.
      - It gives rise to more definitional equalities in simulation proofs using
        binary logical relations proofs.
      
        In the case of binary logical relations, we simulate an expressions in some
        ambient context, i.e. `fill K e`. Now, whenever we reshape `e` by turning it
        into `fill K' e'`, we end up with `fill K (fill K' e')`. In order to use the
        rules for the expression that is being simulated, we need to turn
        `fill K (fill K' e')` into `fill K'' e'` for some `K'`. In case of the old
        `foldr`-based approach, we had to rewrite using the lemma `fill_app` to
        achieve that. However, in case of the old `foldl`-based `fill`, we have that
        `fill K (fill K' e')` is definitionally equal to `fill (K' ++ K) e'` provided
        that `K'` consists of a bunch of `cons`es (which is always the case, since we
        obtained `K'` by reshaping `e`).
      
      Note that this change hardly affected `heap_lang`. Only the proof of
      `atomic_correct` broke. I fixed this by proving a more general lemma
      `ectxi_language_atomic` about `ectxi`-languages, which should have been there
      in the first place.
      6fc9c27e
    • Robbert Krebbers's avatar
    • Robbert Krebbers's avatar
      Extend specialization patterns. · 87a8a19c
      Robbert Krebbers authored
      - Support for a `//` modifier to close the goal using `done`.
      - Support for framing in the `[#]` specialization pattern for
        persistent premises, i.e. `[# $H1 $H2]`
      - Add new "auto framing patterns" `[$]`, `[# $]` and `>[$]` that
        will try to solve the premise by framing. Hypothesis that are
        not framed are carried over to the next goal.
      87a8a19c
    • Ralf Jung's avatar
      some more STS lemmas · eb0c6948
      Ralf Jung authored
      eb0c6948
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