Leonardo de Moura
5b13ef1b90
test(tests/lean): new simplifier test
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-25 10:56:49 -08:00
Leonardo de Moura
7015089734
fix(library/simplifier): move to locally nameless approach in the simplifier. Contextual simplification may add rewriting rules with free variables, and it is a mess to manage them when using de Bruijn indices
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-25 10:49:44 -08:00
Leonardo de Moura
df3129e80d
fix(library/hop_match): typo
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-25 10:08:53 -08:00
Leonardo de Moura
7a4eb4b8ed
feat(library/simplifier): contextual simplification for A -> B
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-24 22:32:55 -08:00
Leonardo de Moura
c2381e43f1
fix(library/simplifier): bug in cast elimination
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-24 21:25:09 -08:00
Leonardo de Moura
2bb33c55fe
feat(builtin/kernel): add more theorems useful for simplification
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-24 18:52:50 -08:00
Leonardo de Moura
35ad156a46
fix(tests/lean): make sure pretty print and parse test passes
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-24 17:23:55 -08:00
Leonardo de Moura
8f455f5965
fix(frontends/lean): bug in scope construct
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-24 17:23:29 -08:00
Leonardo de Moura
7f3e2b3ef4
fix(frontends/lean/parser): bug in 'using' construct
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-24 17:09:46 -08:00
Leonardo de Moura
8e0888828d
fix(library/simplifier): missing check in mk_hcongr_th
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-24 17:09:46 -08:00
Leonardo de Moura
1a3660180e
test(tests/lean): add new simplifier test
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-24 17:09:46 -08:00
Leonardo de Moura
26bea77721
fix(library/simplifier): bug in heterogeneous equality support, and universe commutativity support in the simplifier
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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 *
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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
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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
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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
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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
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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
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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
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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
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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
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 12:28:37 -08:00