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Author SHA1 Message Date
Leonardo de Moura
26bea77721 fix(library/simplifier): bug in heterogeneous equality support, and universe commutativity support in the simplifier 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-24 17:09:46 -08:00
Leonardo de Moura
009217b499 feat(builtin/hep): replace hallext axiom with theorem 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-24 17:09:20 -08:00
Leonardo de Moura
dbc100cc2e feat(library/simplifier): cast elimination in the simplifier 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-23 17:28:14 -08:00
Leonardo de Moura
cd87cb3de4 test(tests/lean): add test for congruence theorem that uses an argument before simplification 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-23 13:26:09 -08:00
Leonardo de Moura
180be5c4a2 feat(library/simplifier): improve contextual simplifications 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-23 13:11:58 -08:00
Leonardo de Moura
5ba2525eab test(tests/lean): add test disabling contextual simplifications 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-23 12:57:05 -08:00
Leonardo de Moura
33193e1ab3 feat(library/simplifier): improve contextual simplifications 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-23 12:54:29 -08:00
Leonardo de Moura
d6692264e8 feat(library/simplifier): contextual simplifications 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-23 12:23:22 -08:00
Leonardo de Moura
1638a7bb02 fix(frontends/lean/pp): compute local shared nodes, and avoid unnecessary let's 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-22 21:44:24 -08:00
Leonardo de Moura
17cce340f6 fix(library/elaborator): in optimization for metavariable free terms 
The optimization was incorrect if the term indirectly contained a metavariable.
It could happen if the term contained a free variable that was assigned in the context to a term containing a metavariable.

This commit also adds a new test that exposes the problem.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-22 18:06:00 -08:00
Leonardo de Moura
8214c7add4 feat(library/elaborator): compensate the lack of eta-reduction (and eta-expanded normal forms) in the kernel normalizer 
Before this commit, the elaborator was solving constraints of the form

       ctx |- (?m x) == (f x)
as
       ?m <- (fun x : A, f x)    where A is the domain of f.

In our kernel, the terms f and (fun x, f x) are not definitionally equal.
So, the solution above is not the only one. Another possible solution is

       ?m  <- f

Depending of the circumstances we want  ?m <- (fun x : A, f x) OR ?m <- f.
For example, when Lean is elaborating the eta-theorem in kernel.lean, the first solution should be used:
       ?m <- (fun x : A, f x)

When we are elaborating the axiom_of_choice theorem, we need to use the second one:
       ?m <- f

Of course, we can always provide the parameters explicitly and bypass the elaborator.
However, this goes against the idea that the elaborator can do mechanical steps for us.

This commit addresses this issue by creating a case-split
       ?m <- (fun x : A, f x)
       OR
       ?m <- f

Another solution is to implement eta-expanded normal forms in the Kernel.

With this change, we were able to cleanup the following "hacks" in kernel.lean:
     @eps_ax A (nonempty_ex_intro H) P w Hw
     @axiom_of_choice A B P H
where we had to explicitly provided the implicit arguments

This commit also improves the imitation step for Pi-terms that are actually arrows.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-22 13:28:54 -08:00
Leonardo de Moura
6cb4d165c9 feat(builtin/kernel): dependent version of axiom of choice 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-22 11:04:27 -08:00
Leonardo de Moura
88b6778a1f fix(emacs): syntax highlight 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-22 09:44:12 -08:00
Leonardo de Moura
66553268d0 feat(builtin/kernel): add skolem_th, we need it to justify skolemization preprocessing step 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-22 09:41:07 -08:00
Leonardo de Moura
d9b5ebc738 refactor(builtin/kernel): cleanup Hilbert operator definition 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-22 09:18:40 -08:00
Leonardo de Moura
bcf60db23b fix(builtin/kernel): Hilbert operator only for non-empty types 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-22 08:52:31 -08:00
Leonardo de Moura
94a3136904 feat(builtin/kernel): add Hilbert's operator, and derive axiom of choice using it 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-22 08:21:11 -08:00
Leonardo de Moura
425d31f513 chore(library/simplifier): fix style warning 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-21 21:45:55 -08:00
Leonardo de Moura
cca15f1390 feat(library/simplifier): congruence theorem compilation 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-21 21:16:23 -08:00
Leonardo de Moura
029d74ec11 chore(kernel): remove comment, we decided to have Eta as a simplification rule 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-21 14:35:05 -08:00
Leonardo de Moura
95b6e61738 feat(kernel/max_sharing): check for imminent stack overflows and interruptions in the expression sharing maximizer 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-21 14:33:49 -08:00
Leonardo de Moura
2089b85532 refactor(kernel/instantiate): remove code duplication 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-21 14:30:38 -08:00
Leonardo de Moura
7299b2d5d6 chore(kernel): remove dead file 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-21 14:21:13 -08:00
Leonardo de Moura
fbaf6e887f refactor(builtin/kernel): put the congruence theorems in a format that is easier for the simplifier to process 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-21 14:03:51 -08:00
Leonardo de Moura
331b5846c6 test(library/simplifier): add test for the single_pass option in the simplifier 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-21 13:47:54 -08:00
Leonardo de Moura
ead54bbf57 feat(library/simplifier): enforce max_steps option 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-21 12:12:17 -08:00
Leonardo de Moura
1ccfac5873 feat(library/simplifier): conditional rewriting 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-20 21:15:46 -08:00
Leonardo de Moura
1ef75a9ba6 test(tests/lua): add test/example that demonstrates how to collect statistics of used theorems 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-20 18:04:22 -08:00
Leonardo de Moura
6bcd8e3ee5 fix(library/expr_lt): use expression depth instead of size to obtain a monotonic total order on terms 
It is not incorrect to use size, but it can easily overflow due to sharing.
The following script demonstrates the problem:

local f = Const("f")
local a = Const("a")
function mk_shared(d)
   if d == 0 then
      return a
   else
      local c = mk_shared(d-1)
      return f(c, c)
   end
end
print(mk_shared(33):size())

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-20 17:40:49 -08:00
Leonardo de Moura
cd19d4da01 feat(library/simplifier): memoize intermediate results 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-20 17:03:44 -08:00
Leonardo de Moura
97ead50a3e feat(builtin/Nat): flip orientation of associativity axioms for + and * 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-20 15:38:00 -08:00
Leonardo de Moura
d1bd56b3d3 fix(tests/lean): adjust test to reflect recent changes 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-20 14:47:03 -08:00
Leonardo de Moura
ad219d43d9 refactor(*): semantic attachment parsing and simplification 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-20 14:44:45 -08:00
Leonardo de Moura
217e56ea03 feat(kernel/expr): make sure semantic attachments are smaller than other kinds of expression 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-20 14:10:44 -08:00
Leonardo de Moura
abfeacb8f0 fix(tests/library/expr_lt): adjust is_lt unit tests to reflect recent modifications 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-20 13:44:44 -08:00
Leonardo de Moura
56f5657ee7 fix(library/simplifier): ordered rewriting 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-20 13:13:16 -08:00
Leonardo de Moura
5060bdbf14 fix(kernel/expr): compilation warning 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-20 13:12:49 -08:00
Leonardo de Moura
6a63ef3bc5 feat(library/expr_lt): make sure the total order on terms is monotonic 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-20 13:07:18 -08:00
Leonardo de Moura
ac9f8f340d feat(kernel/expr): add efficient get_size() function for expressions 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-20 12:28:37 -08:00
Leonardo de Moura
5224df56a3 test(tests/lean): add example showing how to 'sort' argumentes of AC operators using the simplifier 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-20 08:36:48 -08:00
Leonardo de Moura
913d893204 feat(library/simplifier): add support for 'permutation' rewrite rules 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-20 08:29:31 -08:00
Leonardo de Moura
8e90d17a0b fix(library/hop_match): style 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-19 23:28:12 -08:00
Leonardo de Moura
69d7ee316f feat(library/simplifier): improve simplification by evaluation 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-19 23:26:34 -08:00
Leonardo de Moura
08053c1172 feat(library/hop_match): make the higher order pattern matcher slightly stronger 
It now can handle (?m t) where t is not a locally bound variable, but ?m and all free variables in t are assigned.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-19 20:35:50 -08:00
Leonardo de Moura
90ffb9d5ec fix(frontends/lean/pp): bug in pp_abstraction_core 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-19 19:47:40 -08:00
Leonardo de Moura
bcede6925f fix(tests/lean): add expected result file 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-19 16:31:35 -08:00
Leonardo de Moura
19f3c281c3 test(tests/lean): matrix multiplication example 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-19 16:29:32 -08:00
Leonardo de Moura
999984e701 fix(tests/lean): remove unnecessary theorems 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-19 12:55:33 -08:00
Leonardo de Moura
cc11b9e125 test(tests/lean): rewriting proof example 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-19 12:53:21 -08:00
Leonardo de Moura
6db10c577b feat(builtin/kernel): add proof irrelevance axiom 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-19 12:20:09 -08:00