Leonardo de Moura
50df761d90
refactor(library/simplifier): remove the is_typem hack, it is not needed anymore now that we don't use hpiext anymore
...
Now, we are again using the following invariant for simplifier_fn::result
The type of in the equality of the result is definitionally equal to the
type of the resultant expression.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-26 12:21:23 -08:00
Leonardo de Moura
29e448f034
fix(library/simplifier): remove support in the simplifier for (forall x : A, B x) when it is not a proposition, the problem is that hpiext axiom produces an equality in a too big universe
...
For example, in the hpiext axiom, the resultant equality if for (Type M+1)
axiom hpiext {A A' : TypeM} {B : A -> TypeM} {B' : A' -> TypeM} :
A = A' -> (∀ x x', x == x' -> B x = B' x') -> (∀ x, B x) = (∀ x, B' x)
even if the actual arguments A, A’, B, B’ "live" in a much smaller universe (e.g., Type).
So, it would be great if we could move the resultant equality back to the right universe.
I don't see how to do it right now.
The other solution would require a major rewrite of the code base.
We would have to support universe level arguments like Agda, and write the axiom hpiext as:
axiom hpiext {l : level} {A A' : (Type l)} {B : A -> (Type l)} {B' : A' -> (Type l)} :
A = A' -> (∀ x x', x == x' -> B x = B' x') -> (∀ x, B x) = (∀ x, B' x)
This is the first instance I found where it is really handy to have this feature.
I think this would be a super clean solution, but it would require a big rewrite in the code base.
Another problem is that the actual semantics that Agda has for this kind of construction is not clear to me.
For instance, sometimes Agda reports that the type of an expression is (Set omega).
An easier to implement hack is to support "axiom templates".
We create instances of hipext "on-demand" for different universe levels.
This is essentially what Coq does, since the universe levels are implicit in Coq.
This is not as clean as the Agda approach, but it is much easier to implement.
A super dirty trick is to include some instances of hpiext for commonly used universes
(e.g., Type and (Type 1)).
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-26 12:10:34 -08:00
Leonardo de Moura
52ee9b35dd
feat(library/simplifier): add support for simplifying even when heq module is not available
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-26 11:29:36 -08:00
Leonardo de Moura
fafaa7e78e
fix(library/simplifier): remove hack for handling some constants that expect an argument of type TypeU, the new approach is general
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-26 10:10:57 -08:00
Leonardo de Moura
89bb5fbf19
chore(library/simplifier): fix style
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-26 00:36:17 -08:00
Leonardo de Moura
844572c382
feat(library/simplifier): support for dependent simplification in Pi/forall expressions
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-26 00:32:05 -08:00
Leonardo de Moura
e8bba1ebf3
fix(frontends/lean/frontend): the definition of the explicit version @f must be definitionally equal to f
...
Before this commit, the explicit version @f of a constant f with implicit arguments as not definitionally equal to f.
For example, if we had
variable f {A : Type} : A -> Bool
Then, the definition of @f was
definition @f (A : Type) (a : A) : Bool := f A a
This definition is equivalent to
fun A a, f A a
which is not definitionally equal to
f
since definitionally equality in Lean ignores Eta conversion.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-25 20:34:28 -08:00
Leonardo de Moura
6bc1537e25
feat(frontends/lean/parser): allow the user to write (Type) without providing a level
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-25 20:17:36 -08:00
Leonardo de Moura
9fb3ccb4c0
feat(library/simplifier): support for dependent simplification in lambda expressions
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-25 16:54:42 -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
...
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
...
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
...
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
...
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
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-24 18:52:50 -08:00
Leonardo de Moura
8f455f5965
fix(frontends/lean): bug in scope construct
...
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
...
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
...
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
...
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
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
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
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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
...
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
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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
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
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
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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
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
Leonardo de Moura
913d893204
feat(library/simplifier): add support for 'permutation' rewrite rules
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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
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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
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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
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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
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 19:47:40 -08:00
Leonardo de Moura
6db10c577b
feat(builtin/kernel): add proof irrelevance axiom
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 12:20:09 -08:00
Leonardo de Moura
d322f63113
feat(frontends/lea): add commands for creating and managing rewrite rule sets
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 12:03:59 -08:00
Leonardo de Moura
bbf6e6a256
feat(builtin/kernel): create default rule set in the kernel, and adjust unit tests
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 11:24:20 -08:00
Leonardo de Moura
3bbadddc94
chore(library/simplifier): cleanup and add comments
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 10:54:09 -08:00
Leonardo de Moura
7492fd5a2c
feat(library/simplifier): add support for simplification by evaluation
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 10:34:55 -08:00
Leonardo de Moura
475df3d94e
chore(builtin/kernel): add theorem for rewriter/simplifier
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 10:34:18 -08:00
Leonardo de Moura
e512241c8f
fix(emacs): missing keyword
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 10:32:45 -08:00
Leonardo de Moura
11719713ec
feat(library/hop_match): optionally unfold constants when performing higher order matching
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 10:32:06 -08:00
Leonardo de Moura
39c3b17eb7
feat(library/simplifier): add support for Eta-reduction in the simplifier
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 00:40:35 -08:00
Leonardo de Moura
ed009f4c88
feat(kernel/simplifier): add support for Beta-reduction in the simplifier
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 00:40:20 -08:00
Leonardo de Moura
7a3aab60c6
chore(builtin/kernel): remove \bowtie as notation for transitivity
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-18 21:11:12 -08:00
Leonardo de Moura
2753a0ffc0
fix(builtin/kernel): add ascii notation for transitivity
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-18 20:56:35 -08:00
Leonardo de Moura
32c5bc25e3
refactor(library/simplifier): cleanup rewrite_rule_set, and use it in the simplifier
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-18 20:52:33 -08:00
Leonardo de Moura
466285c577
refactor(library/simplifier): rewriter_rule_set
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-18 17:26:01 -08:00
Leonardo de Moura
feea96e84d
feat(library/simplifier): add rewrite_rule_set extension for managing rewrite rules in an environment
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-18 15:43:24 -08:00
Leonardo de Moura
eae79877ae
feat(library/simplifier): add rewrite_rule_set
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-18 12:50:46 -08:00
Leonardo de Moura
27ab49ae9d
feat(library/simplifier): bottom-up simplifier skeleton
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-18 12:49:41 -08:00
Leonardo de Moura
40b7ed13c2
fix(tests/lean): adjust tests
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-17 19:27:32 -08:00
Leonardo de Moura
534838a36c
chore(build): update automatically generated files
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-17 18:30:45 -08:00
Leonardo de Moura
d711ca4d1b
feat(builtin/heq): add heq C++/Lean interface
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-17 18:30:21 -08:00
Leonardo de Moura
20c8b91d07
feat(builtin/if_then_else): add more theorems for rewriting
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-17 18:11:23 -08:00
Leonardo de Moura
2434024272
fix(library/rewriter): warning in release mode
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-17 15:46:49 -08:00
Leonardo de Moura
ba88a3b05a
chore(builtin/heq): remove unnecessary import
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-17 15:40:56 -08:00
Leonardo de Moura
70828af6db
refactor(builtin/heq): cleanup universes
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-17 14:52:09 -08:00
Leonardo de Moura
fc4c6454a7
chore(tests/lean): adjust tests to reflect recent changes
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-17 14:36:55 -08:00
Leonardo de Moura
0660cdbdb7
feat(builtin/cast): use heq in the cast library
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-17 14:31:45 -08:00
Leonardo de Moura
52756c50fc
fix(builtin/heq): extensionality axioms
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-17 12:56:36 -08:00
Leonardo de Moura
64795c6c42
feat(builtin): add heterogeneous equality theory
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-17 12:32:49 -08:00
Leonardo de Moura
baed98d5be
chore(builtin/kernel): adjust emacs mode and fix typo
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-17 10:14:57 -08:00
Leonardo de Moura
5bee259a00
refactor(kernel): remove unnecessary universe
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-16 18:06:25 -08:00
Leonardo de Moura
a43020b31b
refactor(kernel): remove heterogeneous equality
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-16 17:39:12 -08:00
Leonardo de Moura
1da4294793
refactor(builtin): more theorems, fix iff notation
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-16 09:26:50 -08:00
Leonardo de Moura
398d83b6d5
chore(builtin/Nat): use iff
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-16 02:06:53 -08:00
Leonardo de Moura
4dc98bc73b
refactor(builtin/kernel): use iff instead of = for Booleans
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-16 02:05:09 -08:00
Leonardo de Moura
d063828ff9
feat(library/kernel_bindings): expose abst_name, abst_domain and abst_body in the Lua API
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-16 00:03:16 -08:00
Leonardo de Moura
8d73fb5699
fix(library/hop_match): Lua bindings gotcha
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See http://www.luafaq.org/gotchas.html#T6.4
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 23:51:26 -08:00
Leonardo de Moura
14c6218bdc
chore(kernel): file name convention
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 20:06:29 -08:00
Leonardo de Moura
3238c7e2a0
feat(library/simplifier): add is_permutation_ceq predicate
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 19:53:52 -08:00
Leonardo de Moura
7fb0aa4800
chore(kernel/expr): remove dead code
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 17:24:31 -08:00
Leonardo de Moura
438fa8251b
test(kernel/expr): check if the serializer works for metavariables
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 17:15:56 -08:00
Leonardo de Moura
5058e403b5
test(kernel/expr): check if the serializer works for applications with many argumets
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 17:09:46 -08:00
Leonardo de Moura
c096eec1d6
chore(kernel/expr): remove dead code
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 17:09:04 -08:00
Leonardo de Moura
8c2f78a756
feat(builtin): minimize use of heterogenous equality in the kernel, add simpler version of congruence theorems for non-dependent types
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 16:34:23 -08:00
Leonardo de Moura
c73398a0b8
refactor(library/simplifier): relax rule for conditional equalities
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The idea is to support conditional equations where the left-hand-side does not contain all theorem arguments, but the missing arguments can be inferred using type inference.
For example, we will be able to have the eta theorem as rewrite rule:
theorem eta {A : TypeU} {B : A → TypeU} (f : ∀ x : A, B x) : (λ x : A, f x) = f
:= funext (λ x : A, refl (f x))
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 16:06:00 -08:00