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coinductive types.
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The reduction machine of the checker was not taking into account the fact
that cofixpoints needed to be unfolded when applied against a projection.
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When comparing 2 irrelevant universes [u] and [v] we add a "weak
constraint" [UWeak(u,v)] to the UState. Then at minimization time a
weak constraint between unrelated universes where one is flexible
causes them to be unified.
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Previously [fun x : Ind@{i} => x : Ind@{j}] with Ind some cumulative
inductive would try to generate a constraint [i = j] and use
cumulativity only if this resulted in an inconsistency. This is
confusingly different from the behaviour with [Type] and means
cumulativity can only be used to lift between universes related by
strict inequalities. (This isn't a kernel restriction so there might
be some workaround to send the kernel the right constraints, but
not in a nice way.)
See modified test for more details of what is now possible.
Technical notes:
When universe constraints were inferred by comparing the shape of
terms without reduction, cumulativity was not used and so too-strict
equality constraints were generated. Then in order to use cumulativity
we had to make this comparison fail to fall back to full conversion.
When unifiying 2 instances of a cumulative inductive type, if there
are any Irrelevant universes we try to unify them if they are
flexible.
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Due to some unknown problem coqchk fails on some inductive types when it is
compiled with ocaml4.02.3+32bit and camlp5-4.16 which is the case for Travis
tests.
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This requires to change the status of Inductive (we have also changed
CoInductive and Variant) from keyword to identifier.
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Adapt to new [projection] abstract type comprising a constant and
a boolean.
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