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Author SHA1 Message Date
Leonardo de Moura
1fd5e9682d refactor(kernel/free_vars): use get_free_var_range to improve lift_free_vars and lower_free_vars performance 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-04-17 12:41:06 -07:00
Leonardo de Moura
4ae958af56 refactor(kernel/free_vars): use get_free_var_range to improve has_free_var_in_range performance 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-04-17 12:18:19 -07:00
Leonardo de Moura
dc864bf7b9 feat(kernel): store free variable range in composite expressions 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-04-17 11:31:48 -07:00
Leonardo de Moura
bc8379256a refactor(kernel): remove pairs from kernel 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-04-17 10:52:07 -07:00
Leonardo de Moura
3651b4ecd0 refactor(kernel): replace_fn functional object 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-03-18 10:27:57 -07:00
Leonardo de Moura
bf13441bd7 fix(kernel): bugs in justification module, add missing metavar methods, add basic metavar tests 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-03-18 10:27:56 -07:00
Leonardo de Moura
eb046c11fb refactor(kernel): the type in let-exprs is not optional anymore, if the user does not provide it, we use a metavariable 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-03-18 10:27:55 -07:00
Leonardo de Moura
db31cc37a1 refactor(kernel/free_vars): cleanup free_vars procedures 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-03-18 10:27:55 -07:00
Leonardo de Moura
6d7ec9d7b6 refactor(kernel): add heterogeneous equality back to expr 
The main motivation is that we will be able to move equalities between universes.

For example, suppose we have
    A : (Type i)
    B : (Type i)
    H : @eq (Type j) A B
where j > i

We didn't find any trick for deducing (@eq (Type i) A B) from H.
Before this commit, heterogeneous equality as a constant with type

   heq : {A B : (Type U)} : A -> B -> Bool

So, from H, we would only be able to deduce

   (@heq (Type j) (Type j) A B)

Not being able to move the equality back to a smaller universe is
problematic in several cases. I list some instances in the end of the commit message.

With this commit, Heterogeneous equality is a special kind of expression.
It is not a constant anymore. From H, we can deduce

   H1 : A == B

That is, we are essentially "erasing" the universes when we move to heterogeneous equality.
Now, since A and B have (Type i), we can deduce (@eq (Type i) A B) from H1. The proof term is

  (to_eq (Type i) A B (to_heq (Type j) A B H))  :  (@eq (Type i) A B)

So, it remains to explain why we need this feature.

For example, suppose we want to state the Pi extensionality axiom.

axiom hpiext {A A' : (Type U)} {B : A → (Type U)} {B' : A' → (Type U)} :
      A = A' → (∀ x x', x == x' → B x == B' x') → (∀ x, B x) == (∀ x, B' x)

This axiom produces an "inflated" equality at (Type U) when we treat heterogeneous
equality as a constant. The conclusion

     (∀ x, B x) == (∀ x, B' x)

is syntax sugar for

   (@heq (Type U) (Type U) (∀ x : A, B x) (∀ x : A', B' x))

Even if A, A', B, B' live in a much smaller universe.

As I described above, it doesn't seem to be a way to move this equality back to a smaller universe.

So, if we wanted to keep the heterogeneous equality as a constant, it seems we would
have to support axiom schemas. That is, hpiext would be parametrized by the universes where
A, A', B and B'. Another possibility would be to have universe polymorphism like Agda.
None of the solutions seem attractive.

So, we decided to have heterogeneous equality as a special kind of expression.
And use the trick above to move equalities back to the right universe.

BTW, the parser is not creating the new heterogeneous equalities yet.
Moreover, kernel.lean still contains a constant name heq2 that is the heterogeneous
equality as a constant.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-02-07 10:28:10 -08:00
Leonardo de Moura
8eec289ce1 feat(kernel): add dependent pairs 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-02-03 16:52:49 -08:00
Leonardo de Moura
24452289dd feat(library/simplifier): make sure the simplifier can handle meta-variables 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-28 20:30:47 -08:00
Leonardo de Moura
3b152d1a9e refactor(kernel): use ro_metavar_env instead of metavar_env in places where we only need to read the metavariable environment 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-27 16:44:43 -08:00
Leonardo de Moura
27ab49ae9d feat(library/simplifier): bottom-up simplifier skeleton 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-18 12:49:41 -08:00
Leonardo de Moura
a43020b31b refactor(kernel): remove heterogeneous equality 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-16 17:39:12 -08:00
Leonardo de Moura
a968a43487 fix(kernel/free_vars): make sure has_free_var does not return incorrect result due to arithmetic overflows 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-14 14:36:14 -08:00
Leonardo de Moura
e6c322d97f feat(kernel/free_vars): make free_vars module functions more robust 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-12 17:44:28 -08:00
Leonardo de Moura
5d9a95addd refactor(kernel/free_vars): replace max_free_var with relaxed free_var_range 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-12 17:06:57 -08:00
Leonardo de Moura
4d9eb4ac6c feat(kernel): add max_free_var function 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-12 16:45:34 -08:00
Leonardo de Moura
411f14415d feat(builtin): automatically generate Lean/C++ interface for builtin theories 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-09 18:09:53 -08:00
Leonardo de Moura
cbd1f98365 fix(library/elaborator): bug at method process_metavar_inst, add new test that exposed the bug 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-01 03:02:41 -08:00
Leonardo de Moura
418623b874 feat(kernel/replace_fn): add template replace that captures commonly used pattern 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-17 18:31:59 -08:00
Leonardo de Moura
51aee83b70 refactor(kernel/metavar_env): use the same approach used in the class environment in the class metavar_env 
This modification was motivated by a bug exposed by tst17 at tests/kernel/type_checker.
metavar_env is now a smart point to metavar_env_cell.
ro_metavar_env is a read-only smart pointer. It is useful to make sure we are using proof_state correctly.

example showing that the approach for caching metavar_env is broken in the type_checker

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-13 18:59:15 -08:00
Leonardo de Moura
1852c86948 feat(kernel): improve instantiate and lift_free_vars (use metavar_env to minimize the number of lift and inst local_entries needed) 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-12 16:48:33 -08:00
Leonardo de Moura
98f5ce0512 fix(kernel/context): unused var warning in release mode 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-11 21:24:05 -08:00
Leonardo de Moura
0e2b7973cf feat(kernel/free_vars): improve has_free_vars function, it produces better results for expressions containing metavariables 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-11 16:09:33 -08:00
Leonardo de Moura
af1b0d2e81 feat(library): add function free_var_range for computing the range [0, R) of free variables occurring in an expression 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-11 15:32:50 -08:00
Leonardo de Moura
3e1fd06903 refactor(kernel/expr): remove 'null' expression, and operator bool for expression 
After this commit, a value of type 'expr' cannot be a reference to nullptr.
This commit also fixes several bugs due to the use of 'null' expressions.

TODO: do the same for kernel objects, sexprs, etc.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-07 23:21:10 -08:00
Leonardo de Moura
872434e632 fix(kernel/has_free_vars): return false for null expression 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-06 16:01:57 -08:00
Leonardo de Moura
bcc8b67592 chore(*): consistent file name convention 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-03 12:40:52 -08:00
Leonardo de Moura
7f088b7635 feat(kernel): add (optional) field m_type to expr_const, this field is useful for implementing the tactic framework 
This field should not be visible in the external API.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-19 11:21:52 -08:00
Leonardo de Moura
31abc00db8 chore(*): add LCOV_EXCL_LINE to lean_unreachable statements 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-11 09:19:38 -08:00
Leonardo de Moura
6477708d78 refactor(debug): improve lean_unreachable(), now we can avoid 'fake' return statements 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-09-25 21:27:20 -07:00
Leonardo de Moura
99a163f11d Simplify metavariable context. Now, we have only 'lift' and 'inst' instead of 'subst', 'lift' and 'lower' 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-09-16 19:32:28 -07:00
Leonardo de Moura
63e102055e Move metavariables to the kernel. This is the first step for implementing the new elaborator. 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-09-15 12:09:01 -07:00
Soonho Kong
5c3866cd71 Use fullpath in #include directives, add missing STL headers 2013-09-13 03:35:29 -07:00
Leonardo de Moura
2459c4ae7c Add (optional) type to let declarations 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-09-06 10:06:26 -07:00
Leonardo de Moura
cbff5ea856 Cleanup 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-16 20:40:39 -07:00
Leonardo de Moura
99219f998b Rename files sets.h and maps.h to expr_sets.h and expr_maps.h 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-15 19:02:28 -07:00
Leonardo de Moura
4eeb72b0ee Fix performance problem in has_free_var. Add new test at src/tests/kernel/free_vars.cpp that exposes the problem. 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-11 11:19:59 -07:00
Leonardo de Moura
5c6ee647a9 Fix bug in has_free_vars_fn. Add optimization to type_checker. 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-10 22:05:04 -07:00
Leonardo de Moura
722e2b0ed4 Reformat code (make formating more consistent) 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-07 08:17:33 -07:00
Leonardo de Moura
84f4a32c0e Change name convention for creating Lean expressions 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-06 11:27:14 -07:00
Leonardo de Moura
30513398bb Add basic definitions and axioms 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-05 20:06:42 -07:00
Leonardo de Moura
3f789ce2b7 Add let and heterogeneous equality. Add bool_type and bool_value. 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-04 09:37:52 -07:00
Leonardo de Moura
0a679074f0 Add support for semantic attachments. Remove expr_numeral 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-03 16:12:15 -07:00
Leonardo de Moura
2972bdfec3 Rename abst_type to abst_domain 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-03 16:12:12 -07:00
Leonardo de Moura
e220d7c525 Add type checker. Fix normalization with non-empty context 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-01 21:40:36 -07:00
Leonardo de Moura
08b750c825 Remove Prop from kernel 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-07-29 19:49:34 -07:00
Leonardo de Moura
ed13132c12 Add has_free_var, lower_free_vars 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-07-26 12:27:55 -07:00
Leonardo de Moura
4b61639f4d Use consistent naming for functional objects 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-07-24 14:56:32 -07:00