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authorGravatar Enrico Tassi <gareuselesinge@debian.org>2016-12-27 16:53:30 +0100
committerGravatar Enrico Tassi <gareuselesinge@debian.org>2016-12-27 18:33:25 +0100
commit1b92c226e563643da187b8614d5888dc4855eb43 (patch)
treec4c3d204b36468b58cb71050ba95f06b8dd7bc2e /test-suite/bugs/opened/4701.v
parent7c9b0a702976078b813e6493c1284af62a3f093c (diff)
Imported Upstream version 8.6
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+(*Suppose we have*)
+
+ Inductive my_if {A B} : bool -> Type :=
+ | then_case (_ : A) : my_if true
+ | else_case (_ : B) : my_if false.
+ Notation "'If' b 'Then' A 'Else' B" := (@my_if A B b) (at level 10).
+
+(*then here are three inductive type declarations that work:*)
+
+ Inductive I1 :=
+ | i1 (x : I1).
+ Inductive I2 :=
+ | i2 (x : nat).
+ Inductive I3 :=
+ | i3 (b : bool) (x : If b Then I3 Else nat).
+
+(*and here is one that does not, despite being equivalent to [I3]:*)
+
+ Fail Inductive I4 :=
+ | i4 (b : bool) (x : if b then I4 else nat). (* Error: Non strictly positive occurrence of "I4" in
+ "forall b : bool, (if b then I4 else nat) -> I4". *)
+
+(*I think this one should work. I believe this is a conservative extension over CIC: Since [match] statements returning types can always be re-encoded as inductive type families, the analysis should be independent of whether the constructor uses an inductive or a [match] statement.*)