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author | Gaëtan Gilbert <gaetan.gilbert@skyskimmer.net> | 2017-11-09 17:27:58 +0100 |
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committer | Gaëtan Gilbert <gaetan.gilbert@skyskimmer.net> | 2018-02-10 01:34:19 +0100 |
commit | 35fba70509d9fb219b2a88f8e7bd246b2671b39b (patch) | |
tree | 21cdb9aa905ef8f6375aa6cd119254794233d0ac /test-suite/success/cumulativity.v | |
parent | 10d3d803e6b57024dd15df7d61670ce42260948a (diff) |
Simplification: cumulativity information is variance information.
Since cumulativity of an inductive type is the universe constraints
which make a term convertible with its universe-renamed copy, the only
constraints we can get are between a universe and its copy.
As such we do not need to be able to represent arbitrary constraints
between universes and copied universes in a double-sized ucontext,
instead we can just keep around an array describing whether a bound
universe is covariant, invariant or irrelevant (CIC has no
contravariant conversion rule).
Printing is fairly obtuse and should be improved: when we print the
CumulativityInfo we add marks to the universes of the instance: = for
invariant, + for covariant and * for irrelevant. ie
Record Foo@{i j k} := { foo : Type@{i} -> Type@{j} }.
Print Foo.
gives
Cumulative Record Foo : Type@{max(i+1, j+1)} := Build_Foo
{ foo : Type@{i} -> Type@{j} }
(* =i +j *k |= *)
Diffstat (limited to 'test-suite/success/cumulativity.v')
-rw-r--r-- | test-suite/success/cumulativity.v | 10 |
1 files changed, 10 insertions, 0 deletions
diff --git a/test-suite/success/cumulativity.v b/test-suite/success/cumulativity.v index 0ee85712e..303cd7146 100644 --- a/test-suite/success/cumulativity.v +++ b/test-suite/success/cumulativity.v @@ -98,3 +98,13 @@ Section down. intros H f g Hfg. exact (H f g Hfg). Defined. End down. + +Record Arrow@{i j} := { arrow : Type@{i} -> Type@{j} }. + +Fail Definition arrow_lift@{i i' j j' | i' < i, j < j'} + : Arrow@{i j} -> Arrow@{i' j'} + := fun x => x. + +Definition arrow_lift@{i i' j j' | i' = i, j < j'} + : Arrow@{i j} -> Arrow@{i' j'} + := fun x => x. |