
i agree with richard here:
i'd even say it more strongly:
totality is a global property, any "local only " mechanism will backfire on
some valid total code.
worst of all: any theorem prover extracted code will be rejected :)
(well, at least the sort coq/agda extract to, isabelle/hol code tends to
have less unsafe coerce party time, though still would likely fail any
"local" totally rules of thumb).
On Mon, Dec 23, 2019 at 10:48 AM Richard Eisenberg
I have not seen a serious proposal for TotalHaskell before. It would be a great thing to have, but my guess is that at least two PhD students would have to be sacrificed to the cause. There are *many* ways that Haskell is a non-total language.
Here are a few:
- general recursion (including definitions like loop = loop) - well-founded recursion (where the recursive calls are on structurally smaller arguments) is ok, though - but not on infinite data - well-guarded corecursion (like `ones = 1 : ones`) is also ok - recursive type-class dictionaries allows (I think) unbounded recursion - exceptions - incomplete pattern matches - unless GADT restrictions say that the match is actually total - incomplete uni-pattern matches - unless GADT restrictions say that the match is actually total - partial record selectors - non-strictly-positive datatypes - Typeable allows you to simulate non-strictly-positive datatypes (see Sec. 7 of https://repository.brynmawr.edu/cgi/viewcontent.cgi?article=1002&context=compsci_pubs ) - Girard's paradox (because we have Type :: Type), though it is not known whether this is encodable in Haskell. See https://link.springer.com/chapter/10.1007/BFb0014058 - -fdefer-type-errors
Some of these are easy enough to stamp out, but others may be harder. And I'm sure I'm missing some cases. I am *not* trying to say we shouldn't do anything in this direction -- far from it. However, one should proceed in this direction with eyes open.
Richard
On Dec 23, 2019, at 8:12 AM, Vilem Liepelt
wrote: I assume a TotalHaskell pragma was proposed in the past. Would this help?
Yes, in fact I think this is even better. Does "total" refer to exhaustive pattern matching and absence of (possible) exceptions?
We might want to have such a pragma on a function-by-function basis as well as whole-module.
My company has committed to letting me work on GHC a couple of days each month, so I'd be up to work on this, although I'd need someone to hold my hand as I haven't done this before. _______________________________________________ Libraries mailing list Libraries@haskell.org http://mail.haskell.org/cgi-bin/mailman/listinfo/libraries
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