[CakeML] translating mergesort

[Konrad Slind]

What is called in my development (this is used in the regexp compiler).

 val thms =
List.map translate
  [mergesortTheory.sort2_def,
   mergesortTheory.sort3_def,
   mergesortTheory.merge_def,
   arithmeticTheory.DIV2_def,
   listTheory.DROP_def,
   last(CONJUNCTS mergesortTheory.mergesortN_def),
   mergesortTheory.mergesort_def];





On Thu, Apr 14, 2016 at 10:13 PM, Konrad Slind <konrad.slind at gmail.com>
wrote:

> This sounds familiar. I got mergesortN to translate.
> Might have had to fix the translator in order to make it go through.
>
> Konrad.
>
>
> On Thu, Apr 14, 2016 at 9:44 PM, Ramana Kumar <Ramana.Kumar at cl.cam.ac.uk>
> wrote:
>
>> Hi,
>>
>> I am trying to use the CakeML translator to translate mergesort from
>> HOL's mergesortTheory. The main function to translate is mergesortN_def,
>> printed below. But the translator fails. Why? I translated sort2 and sort3
>> and DROP already, so I don't think they are the problem.
>>
>> val it =
>>    |- (∀l R. mergesortN R 0 l = []) ∧
>>    (∀x l R. mergesortN R 1 (x::l) = [x]) ∧
>>    (∀R. mergesortN R 1 [] = []) ∧
>>    (∀y x l R. mergesortN R 2 (x::y::l) = sort2 R x y) ∧
>>    (∀x R. mergesortN R 2 [x] = [x]) ∧ (∀R. mergesortN R 2 [] = []) ∧
>>    (∀z y x l R. mergesortN R 3 (x::y::z::l) = sort3 R x y z) ∧
>>    (∀y x R. mergesortN R 3 [x; y] = sort2 R x y) ∧
>>    (∀x R. mergesortN R 3 [x] = [x]) ∧ (∀R. mergesortN R 3 [] = []) ∧
>>    ∀v4 l R.
>>      mergesortN R v4 l =
>>      if v4 = 0 then []
>>      else if v4 = 1 then case l of [] => [] | x::l' => [x]
>>      else if v4 = 2 then
>>        case l of [] => [] | [x'] => [x'] | x'::y::l'' => sort2 R x' y
>>      else if v4 = 3 then
>>        case l of
>>          [] => []
>>        | [x''] => [x'']
>>        | [x''; y'] => sort2 R x'' y'
>>        | x''::y'::z::l''' => sort3 R x'' y' z
>>      else
>>        (let len1 = v4 DIV 2
>>         in
>>           merge R (mergesortN R (v4 DIV 2) l)
>>             (mergesortN R (v4 − len1) (DROP len1 l))):
>>    thm
>>
>> Translating mergesortn
>> metis: r[+0+14]+0+0+0+0+0+0+0+0+0+0+0+0+0+0!
>> metis: r[+0+14]+0+0+0+0+0+0+0+0+0+0+0+0+0+0!
>> metis: r[+0+14]+0+0+0+0+0+0+0+0+0+0+0+0+0+0!
>> Failed translation: mergesortN
>> Exception- HOL_ERR {message = "no solution found", origin_function =
>> "FOL_FIND", origin_structure = "folTools"} raised
>>
>> I to looks like there's a lot of pattern matching in the definition. What
>> is the status of HOL issue #285 (
>> https://github.com/HOL-Theorem-Prover/HOL/issues/285)? I think that
>> might be able to help.
>>
>> Looking forward to your reply,
>> Ramana
>>
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>>
>
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