Leonardo de Moura
e769c26800
refactor(kernel): move files that don't need to be in the kernel
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-25 18:30:40 -07:00
Leonardo de Moura
b2518f873d
feat(kernel/type_checker): handle ensure_pi when whnf is a meta application
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-25 18:17:32 -07:00
Leonardo de Moura
6b05146eca
fix(kernel/type_checker): preserve bound variable name when inferring type of a lambda expression
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-25 17:29:47 -07:00
Leonardo de Moura
63b6564b78
refactor(kernel): define extension_context API for normalizer_extesions and macro_definitions
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A particular macro definition may use the extra information to retrieve information necessary to expand/type a given macro application. Example: it may need to invoke whnf.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-25 15:43:17 -07:00
Leonardo de Moura
4842ae4fc7
refactor(kernel): store macro arguments in the macro_expr
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Before this commit, we "stored" macro arguments using applications.
This representation had some issues. Suppose we use [m a] to denote a macro
application. In the old representation, ([m a] b) and [m a b] would have
the same representation. Another problem is that some procedures (e.g., type inference)
would not have a clean implementation.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-25 15:02:56 -07:00
Leonardo de Moura
9d5ed2bae1
chore(kernel/type_checker): fix style
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-25 12:04:14 -07:00
Leonardo de Moura
a39a5b4195
refactor(kernel): remove normalizer
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-25 12:02:33 -07:00
Leonardo de Moura
a55c3c617d
feat(kernel/type_checker): add infer_type
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-25 11:58:29 -07:00
Leonardo de Moura
3e122ed355
feat(kernel/error_msgs): add error message for unsatisfied level constraints, remove messages for dependent pairs
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-25 10:47:05 -07:00
Leonardo de Moura
508bccb0c5
fix(kernel/max_sharing): add example exposing bug in max_sharing_fn, and fix it
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-24 15:55:48 -07:00
Leonardo de Moura
1c8e78e3ae
fix(kernel/justification): typo
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-24 15:08:10 -07:00
Leonardo de Moura
4be4f21de6
fix(kernel/type_checker): bug in quick_is_conv, it was not converting free variables to local constants.
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-24 12:46:31 -07:00
Leonardo de Moura
0d7902f9eb
feat(kernel/type_checker): finish is_convertible predicate
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-23 20:16:14 -07:00
Leonardo de Moura
e78de448aa
feat(kernel/type_checker): add is_convertible predicate (and support for proof irrelevance and eta-reduction)
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-23 19:21:26 -07:00
Leonardo de Moura
cdbef0bf15
fix(kernel/type_checker): is_opaque predicate
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-23 10:51:39 -07:00
Leonardo de Moura
a3554c85fe
fix(kernel/definition): clang compilation warning, and add module_idx typedef
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-23 10:50:55 -07:00
Leonardo de Moura
ed37bf650d
chore(kernel/environment): fix style
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-22 18:34:55 -07:00
Leonardo de Moura
04a61bdffe
feat(kernel/type_checker): remove dead code, add basic whnf procedure
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-22 18:32:50 -07:00
Leonardo de Moura
188da7e4c6
feat(kernel/max_sharing): add method already_processed
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-22 18:30:07 -07:00
Leonardo de Moura
9fda7e2529
fix(kernel): incorrect optimization in max_sharing_fn class
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The resultant expression may failed to be fully shared.
Add an example that demonstrates the problem.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-22 15:38:22 -07:00
Leonardo de Moura
086dd6b1a1
chore(kernel/environment): fix style
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-22 15:36:52 -07:00
Leonardo de Moura
cc1cfba8ad
refactor(kernel/type_checker): new API for type checker
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-21 16:12:47 -07:00
Leonardo de Moura
6417c79569
feat(kernel/environment): add is_descendant method
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-21 14:28:50 -07:00
Leonardo de Moura
bfeb51ce58
feat(kernel/environment): add trust level field
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-21 13:39:47 -07:00
Leonardo de Moura
ee58a83e25
chore(kernel): remove unnecessary files
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-18 14:25:09 -07:00
Leonardo de Moura
d0dc16355b
chore(kernel): remove unnecessary file
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-18 14:23:32 -07:00
Leonardo de Moura
582352d647
refactor(kernel/environment): simplified (functional) environment object
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-18 14:21:49 -07:00
Leonardo de Moura
234abb1238
feat(kernel/definition): default constructor for definitions
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-18 13:10:05 -07:00
Leonardo de Moura
984ac03ac7
refactor(kernel): replace kernel object with definition, disable affected files
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-17 16:10:47 -07:00
Leonardo de Moura
cb479a75ae
fix(kernel/expr): make sure we cannot create a free variable with index uint_max, reason: get_free_var_range would return an incorrect value
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-17 13:25:21 -07:00
Leonardo de Moura
3712da0b54
refactor(kernel/instantiate): use get_free_var_range to improve instantiate, remove instantiate_with_closed, fix index overflow bug
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-17 13:12:49 -07:00
Leonardo de Moura
1fd5e9682d
refactor(kernel/free_vars): use get_free_var_range to improve lift_free_vars and lower_free_vars performance
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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
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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
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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
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-17 10:52:07 -07:00
Leonardo de Moura
fb2ec8fb12
fix(kernel): style
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:57 -07:00
Leonardo de Moura
9b161b825f
refactor(kernel): instantiate_params
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:57 -07:00
Leonardo de Moura
3651b4ecd0
refactor(kernel): replace_fn functional object
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:57 -07:00
Leonardo de Moura
3939b93c2d
refactor(kernel): substitution
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:57 -07:00
Leonardo de Moura
25948ac534
refactor(kernel): cleanup interfaces
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:57 -07:00
Leonardo de Moura
08087ea9c6
refactor(kernel): remove dead code
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:57 -07:00
Leonardo de Moura
eb487e44c1
refactor(kernel): use names instead of unsigned integers to encode level parameters
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:57 -07:00
Leonardo de Moura
ddbb3a7944
refactor(kernel): add error msg formatters, remove unnecessary files, add new type_checker interface
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:57 -07:00
Leonardo de Moura
916301bdfb
refactor(kernel): parametric kernel objects
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:57 -07:00
Leonardo de Moura
54801bbd05
refactor(kernel): constraints
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:57 -07:00
Leonardo de Moura
aa4a7acccf
feat(kernel/level): is_trivial predicate for level constraints
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:57 -07:00
Leonardo de Moura
4b7fe064fe
refactor(kernel): finish formatter interface
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
bf13441bd7
fix(kernel): bugs in justification module, add missing metavar methods, add basic metavar tests
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
4c30ea9251
fix(kernel/justification): none is the unit of mk_composite
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
3c6002e969
refactor(kernel): add mk_rev_app, update_rev_app, implement instantiate_metavars functions, modify instantiate (free vars) API
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
42e253c962
fix(*): style and clang warnings
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
968c0d799f
refactor(kernel): implement substitution methods
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
5f4b1cf47e
feat(kernel): define metavar substitution based on red-black trees
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
fdde12e6af
refactor(kernel): remove unnecessary files
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
2a73389ed3
refactor(kernel): justification objects
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
501435f6fc
feat(kernel): add has_local predicate
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
997f32378c
refactor(kernel): remove unnecessary files
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
6baa59376c
refactor(kernel): normalizer
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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
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
410d5cc8ed
fix(kernel): remove unnecessary file
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
16aa1ebbac
refactor(kernel): replace_visitor
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
101888e079
refactor(kernel): delete update_expr
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
b5f0f28009
refactor(kernel): environment, kernel object and exceptions
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
737fe6830f
test(tests/kernel): adjust expr tests
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
f986963a95
refactor(kernel): serializer and deserializer
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
74f74d2f79
refactor(kernel): shallow copy procedure
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
5da501d538
fix(kernel): style warnings
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
73c8bf4436
refactor(tests/kernel): move tests to new kernel
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
565dbe1700
fix(kernel/instantiate): bug in new head_beta_reduce
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
d17990ed78
refactor(kernel): add formatter and simplify contexts
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
53ee205dc6
fix(kernel): memory corruption bugs
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
72e1678ad9
refactor(kernel): cleanup instantiate and abstract procedures, implement update procedures
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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
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
533f44e224
refactor(kernel/expr): for_each_fn, replace_fn, and find_fn without templates
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
69b9f2dd37
refactor(kernel/expr): for_each and find functional objects
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:54 -07:00
Leonardo de Moura
23988f528c
refactor(kernel/expr): add expr constructors, and expression equality test
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:54 -07:00
Leonardo de Moura
9d3db8de1f
fix(kernel/diff_cnstrs): missing include
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:54 -07:00
Leonardo de Moura
02413d7c44
refactor(kernel/expr): adding suport for universe polymorphism, and simplify metavariable representation
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:54 -07:00
Leonardo de Moura
13cfd60622
fix(kernel/diff_cnstrs): copyright msg
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:54 -07:00
Leonardo de Moura
76b1ddb967
feat(kernel): add difference constraint solver with backtracking support, and justification generation, this solver will be used to check the satisfiability of universe level constraints
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:54 -07:00
Leonardo de Moura
9f93b5d97e
feat(kernel/level): new universe level datastructure for universe level polymorphism
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:54 -07:00
Leonardo de Moura
1b6b33b3f5
refactor(kernel): start version 0.2, new kernel with universe polymorphism and better/cleaner support for metavariables
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:54 -07:00
Leonardo de Moura
e9dada5e14
refactor(builtin/kernel): use standard definition for 'or' and 'and'
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-17 12:05:34 -08:00
Leonardo de Moura
c526e5ec00
feat(builtin/kernel): prove false_elim without using case
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-15 14:26:13 -08:00
Leonardo de Moura
1739b5c153
fix(kernel/type_checker): caching bug
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-12 10:43:01 -08:00
Leonardo de Moura
368fcb5ff9
refactor(builtin/kernel): rename refute to by_contradiction
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-12 08:49:19 -08:00
Leonardo de Moura
a2d2e36f04
refactor(frontends/lean): remove notation for creating tuples
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-10 09:03:42 -08:00
Leonardo de Moura
c45c1748d8
refactor(builtin/kernel): reorder congr1 arguments
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-09 16:15:44 -08:00
Leonardo de Moura
8df7c7b02d
feat(kernel/type_checker): remove fallback that expands opaque definitions in the type checker
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We should not rely on this feature. It can be quite expensive.
We invoke is_convertible in several places, in particular, if we are using overloading. For example, the frontend uses is_convertible to check which overload should be used. Thus, it will make several calls such as
is_convertible(num, Nat)
If is_convertible starts unfolding opaque definitions, we would keep expanding num.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-09 11:31:24 -08:00
Leonardo de Moura
f28c56b188
feat(builtin/num): add auxiliary definitions and theorems for proving the primitive recursion theorem
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-08 19:36:17 -08:00
Leonardo de Moura
24528ff685
fix(library/elaborator): fix glitches in the elaborator that were forcing us to provide parameters explicitly
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-07 18:02:08 -08:00
Leonardo de Moura
1ec01f5757
refactor(builtin): merge pair.lean with kernel.lean, and add basic theorems
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-07 16:04:44 -08:00
Leonardo de Moura
ad7b13104f
feat(*): add support for heterogeneous equality in the parser, elaborator and simplifier, adjusts unit test to reflect changes
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-07 15:03:16 -08:00
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
30570c843f
feat(builtin): add optional type
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-05 17:33:06 -08:00
Leonardo de Moura
0283887ee9
refactor(builtin/kernel): move the heq axioms into kernel.lean
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-04 14:17:34 -08:00
Leonardo de Moura
9dc86e3cf5
fix(builtin/kernel): rename generalized proof_irrel axiom to hproof_irrel, and derive the restricted one
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-04 10:06:29 -08:00
Leonardo de Moura
9a677331da
feat(builtin): simulate subtypes using sigma types
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-04 01:46:50 -08:00
Leonardo de Moura
4fcc292332
feat(frontends/lean): parse and pretty print pair/tuple projection operators proj1 and proj2, fix bug in the type checker
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-03 22:10:01 -08:00
Leonardo de Moura
5c991f8fbf
feat(frontends/lean): parse and pretty print tuples/pairs
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This commit also fixes a bug in the type checker when processing dependent pairs.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-03 20:10:30 -08:00
Leonardo de Moura
5e5ab1429d
feat(frontends/lean): parse and pretty print sigma types
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This commit also fixes some bugs in the implementation of Sigma types.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-03 18:16:00 -08:00
Leonardo de Moura
8eec289ce1
feat(kernel): add dependent pairs
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-03 16:52:49 -08:00
Leonardo de Moura
c56df132b8
refactor(kernel): remove semantic attachments from the kernel
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-02 14:48:27 -08:00
Leonardo de Moura
2aaded261e
fix(kernel/environment): imported predicate
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-30 23:02:19 -08:00
Leonardo de Moura
4d533c6a25
feat(builtin/kernel): add nonempty_range theorem
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-30 22:13:34 -08:00
Leonardo de Moura
ddaf948c72
feat(builtin/kernel): add nonempty_fun theorem
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-30 19:38:51 -08:00
Leonardo de Moura
759aa61f70
refactor(builtin/kernel): define if-then-else using Hilbert's operator
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-30 19:28:42 -08:00
Leonardo de Moura
8c1f6b9055
fix(kernel/typechecker): allow elaborator to infer (Type U+1)
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In the new test elab8.lean, the parameter B is in (Type U+1).
Before, this commit, the type checker was forcing all metavariables that must be types to be <= (Type U). This restriction was preventing the elaborator from succeeding in reasonable cases.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-30 14:00:01 -08:00
Leonardo de Moura
01259b1e84
feat(kernel): make sure U is the maximal universe
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-29 16:31:00 -08:00
Leonardo de Moura
24452289dd
feat(library/simplifier): make sure the simplifier can handle meta-variables
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-28 20:30:47 -08:00
Leonardo de Moura
b6985bd713
feat(builtin/kernel): add another rewrite rule
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-28 15:56:26 -08:00
Leonardo de Moura
55fde28954
feat(kernel/type_checker): optionally provide metavariable environment in the methods: is_definitionally_equal, is_convertible and ensure_pi
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-27 17:47:03 -08:00
Leonardo de Moura
160dc71cb5
refactor(kernel/type_checker): use read-only metavariable environment in methods that do not require write access to the metavariable environment
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-27 17:38:06 -08:00
Leonardo de Moura
05b4d8411b
refactor(kernel/normalizer): normalizer only needs read access to metavariable environment
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-27 17:03:36 -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
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-27 16:44:43 -08:00
Leonardo de Moura
b26035fcf6
feat(kernel/type_checker): improve application type mismatch error messages
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-27 09:45:17 -08:00
Leonardo de Moura
ceff335bb8
doc(doc/lean/tutorial): update tutorial
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-26 22:58:44 -08:00
Leonardo de Moura
4d25cb7f47
feat(library/tactic): add simplify_tactic based on the simplifier
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-26 18:53:18 -08:00
Leonardo de Moura
9fb3ccb4c0
feat(library/simplifier): support for dependent simplification in lambda expressions
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-25 16:54:42 -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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
4dc98bc73b
refactor(builtin/kernel): use iff instead of = for Booleans
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-16 02:05:09 -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
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
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
3daac17ea8
feat(library/simplifier): convert disequalities (a ≠ b) into equations '(a = b) = false'
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 15:30:16 -08:00
Leonardo de Moura
94fa987814
fix(kernel/type_checker): is_proposition method was still assuming that a Pi never has type Bool
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The method is_proposition was using an optimization that became incorrect after we identified Pi and forall.
It was assuming that any Pi expression is not a proposition.
This is not true anymore. Now, (Pi x : A, B) is a proposition if B is a proposition.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 11:02:52 -08:00
Leonardo de Moura
7c2a4211a8
feat(kernel): expose imported predicate
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-14 16:41:40 -08:00
Leonardo de Moura
07059b0531
feat(library): add if_then_else Lean/C++ interface
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-14 16:10:49 -08:00
Leonardo de Moura
acfb11e290
fix(kernel/instantiate): relax apply_beta pre-condition
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-14 14:36:51 -08:00
Leonardo de Moura
a968a43487
fix(kernel/free_vars): make sure has_free_var does not return incorrect result due to arithmetic overflows
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-14 14:36:14 -08:00
Leonardo de Moura
f8eaae7218
feat(builtin/kernel): add new useful theorems for the simplifier
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-13 18:21:22 -08:00
Leonardo de Moura
ccb9faf065
refactor(*): error messages
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-13 16:54:21 -08:00
Leonardo de Moura
e6c322d97f
feat(kernel/free_vars): make free_vars module functions more robust
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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
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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
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-12 16:45:34 -08:00
Leonardo de Moura
781720a26a
feat(builtin/kernel): add left_comm theorem
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-11 18:08:08 -08:00
Leonardo de Moura
a1a467a65f
refactor(builtin): move congruence theorems to kernel/if_then_else modules
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-11 13:48:28 -08:00
Leonardo de Moura
53537d0684
feat(builtin/kernel): 'implication' simplification theorems
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-11 13:35:20 -08:00
Leonardo de Moura
50f281b430
feat(builtin/kernel): add eqf_intro and eqf_elim theorems
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-11 11:13:54 -08:00
Leonardo de Moura
d4a7d796a5
feat(builtin): prove strong induction theorem, add < theorems
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-10 18:46:33 -08:00
Leonardo de Moura
411f14415d
feat(builtin): automatically generate Lean/C++ interface for builtin theories
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-09 18:09:53 -08:00
Leonardo de Moura
2179e57db3
refactor(builtin): move if_then_else to its own module
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-09 14:08:39 -08:00
Leonardo de Moura
fdeb457a81
feat(kernel/pos_info_provider): add support for file names in pos_info_provider
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The idea is to include the file name when displaying justification objects.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-09 12:19:30 -08:00
Leonardo de Moura
57c0006916
chore(*): cleanup lean builtin symbols, replace :: with _
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-09 08:33:52 -08:00
Leonardo de Moura
e42b616438
fix(kernel/normalizer): equality between semantic attachments
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Given a heterogenous equality: a == b
The normalizer will only reduce it if a and b are objects of the same kind.
Now, 1 == true is not reduced to false anymore.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 19:10:30 -08:00
Leonardo de Moura
8e9d88c2cf
refactor(builtin/kernel): prove iff::intro, and add a new name for it boolext (Boolean extensionality)
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 18:31:45 -08:00
Leonardo de Moura
a4b3d6d6c8
refactor(builtin/kernel): prove eta using function extensionality, and rename abst and abstpi to funext and allext
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 17:25:14 -08:00
Leonardo de Moura
2b2aa228e3
refactor(builtin/kernel): start with small universes
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The universe constraint manager is more flexible now.
We don't need to start with a huge universe U >= 512.
We can start small, and increase it on demand.
If module mod1 needs it, it can always add
universe U >= 3
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 12:35:00 -08:00
Leonardo de Moura
85de05e5cf
chore(kernel/unification_constraint): update max_constraint comment to reflect its new semantics
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 01:09:47 -08:00
Leonardo de Moura
048151487e
feat(kernel): use Pi as forall/implication
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 00:38:39 -08:00
Leonardo de Moura
d12d0f036f
feat(kernel/environment): universe variables now live in their own namespace
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 15:57:36 -08:00
Leonardo de Moura
95515ca5df
chore(*): fix warnings produced by clang++
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 15:39:49 -08:00
Leonardo de Moura
29db6accb8
test(tests/lean): new tests for exercising the environment object
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 14:34:21 -08:00
Leonardo de Moura
0a20356a51
fix(kernel/environment): we should not add an universe contraint object to the set of object when an integer overflow occurs
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 13:43:22 -08:00
Leonardo de Moura
17c4cce89c
fix(library/elaborator): remove_detail procedure was keeping a lot of details when typeof_mvar_justification was being used
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 13:24:46 -08:00
Leonardo de Moura
4424a314e0
feat(kernel): add get_universe_distance method
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-06 17:13:13 -08:00
Leonardo de Moura
5fe8c32da9
feat(kernel): use new universe contraints in the environment, allow new constraints to be added
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-06 16:46:11 -08:00
Leonardo de Moura
b5a30855f8
feat(kernel/universe_constraints): add new class for managing universe constraints
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-06 15:01:28 -08:00
Leonardo de Moura
8c956280d9
chore(frontends/lean): rename setoption and setopaque commands to set::option and set::opaque
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-06 11:41:03 -08:00
Leonardo de Moura
935c2a03a3
feat(*): change name conventions for Lean builtin libraries
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-05 19:21:44 -08:00
Leonardo de Moura
4ba097a141
feat(frontends/lean): use lowercase commands, replace 'endscope' and 'endnamespace' with 'end'
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-05 13:06:36 -08:00
Leonardo de Moura
9eb4dc4a81
feat(kernel, library/elaborator, frontends/lean): improve how elaborator_exceptions are displayed in the Lean frontend
...
This commit affects different modules.
I used the following approach:
1- I store the metavariable environment at unification_failure_justifications. The idea is to capture the set of instantiated metavariables at the time of failure.
2- I added a remove_detail function. It removes propagation steps from the justification tree object. I also remove the backtracking search space associated with higher-order unificiation. I keep only the search related to case-splits due to coercions and overloads.
3- I use the metavariable environment captured at step 1 when pretty printing the justification of an elaborator_exception.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-03 17:18:23 -08:00
Leonardo de Moura
92c7145d7f
feat(kernel/expr): maximize sharing before serializing
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 20:03:42 -08:00
Leonardo de Moura
9620b00e24
feat(kernel/metavar): is instantiate_metavars, we are also instantiating assigned metavariables that occur in the local context of unassinged ones.
...
This modification improves the effectiveness of the process_metavar_inst procedure in the Lean elaborator.
For example, suppose we have the constraint
ctx |- ?M1[inst:0 ?M2] == a
If ?M1 and ?M2 are unassigned, then we have to consider the two possible solutions:
?M1 == a
or
?M1 == #0 and ?M2 == a
On the other hand, if ?M2 is assigned to b, then we can ignore the second case.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 16:08:38 -08:00
Leonardo de Moura
ecc5d1bc3a
refactor(kernel): move printer to library, cleanup io_state interface
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 13:37:50 -08:00
Leonardo de Moura
0592261847
refactor(kernel/io_state): move io_state_stream to library
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 13:14:21 -08:00
Leonardo de Moura
b81d3309b9
fix(kernel): remove ios hack
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 13:03:25 -08:00
Leonardo de Moura
43909ca66b
feat(frontends/lean/pp): pretty print SetOpaque command
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-01 13:16:44 -08:00
Leonardo de Moura
74cae2a154
refactor(library/elaborator): remove hackish rule
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After the recent fixes, the hack in process_metavar is not needed anymore.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-01 10:55:39 -08:00
Leonardo de Moura
cbd1f98365
fix(library/elaborator): bug at method process_metavar_inst, add new test that exposed the bug
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-01 03:02:41 -08:00
Leonardo de Moura
0d815b8594
refactor(kernel/context): hide that the context is implemented using lists
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-31 19:43:50 -08:00
Leonardo de Moura
1cb7408c46
fix(kernel/normalizer): metavariable reification was incorrect, add tst11 at tests/kernel/normalizer.cpp to expose the bug
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-31 16:24:36 -08:00
Leonardo de Moura
cd3bbb1ebf
fix(kernel/builtin): enforcing design decision: semantic attachments are NOT simplifiers, they should do only evaluation
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-31 10:14:17 -08:00
Leonardo de Moura
c485b4bc4c
fix(kernel/environment): binary file reader, force the file to be read in binary mode
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We need this flag to be able to read the file on Windows.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-30 18:20:40 -08:00
Leonardo de Moura
1f6e959139
feat(deserializer): protect against corrupted binary files
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-30 18:05:38 -08:00
Leonardo de Moura
a80fccea93
chore(*): cleanup builtin registration
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-30 12:19:00 -08:00
Leonardo de Moura
2a2f0b0d89
refactor(kernel/builtin): move helper decl macros to a separate file
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-30 11:51:30 -08:00