Commit graph

938 commits

Author SHA1 Message Date
Leonardo de Moura
34a9c8304a feat(kernel/environment): add for_each method for traversing environment declarations
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-20 10:15:28 -07:00
Leonardo de Moura
9de8249d8f feat(kernel): let Pi/Fun also take local constants
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-19 17:03:48 -07:00
Leonardo de Moura
df9c935f0a fix(kernel/inductive): remove unused argument, bug in is_rec_argument (free variable occurrence)
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-19 17:02:20 -07:00
Leonardo de Moura
3e3d3c8380 feat(kernel/inductive): check in add_inductive whether the environment supports inductive datatypes or not
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-19 15:44:15 -07:00
Leonardo de Moura
a1086e440d feat(kernel/inductive): use non-dependent elimination for Bool/Prop only if it is proof irrelevant
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-19 13:33:29 -07:00
Leonardo de Moura
eb92f3722f fix(kernel/inductive): typo
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-19 13:27:05 -07:00
Leonardo de Moura
f3ed20a229 feat(kernel/inductive): add normalizer extension for inductive datatypes, add procedure for creating an standard (empty) Lean environment
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-19 12:52:25 -07:00
Leonardo de Moura
edc8af7bb3 refactor(kernel): reduce code duplication
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-19 11:11:19 -07:00
Leonardo de Moura
0e582675d9 feat(kernel/inductive): store computational rules in an environment extension
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-19 10:45:52 -07:00
Leonardo de Moura
90d83fa2ad fix(kernel/environment): bug in get_extension
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-19 10:41:22 -07:00
Leonardo de Moura
1a9122f158 doc(kernel/inductive): improve module documentation
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-19 10:04:28 -07:00
Leonardo de Moura
2aacb769dd feat(kernel/inductive): generate computational rules RHS for inductive datatypes
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-19 09:08:19 -07:00
Leonardo de Moura
eb409a9ce3 feat(kernel/abstract): add more Fun functions for simplifying the creation lambda-expressions
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-19 09:01:20 -07:00
Leonardo de Moura
2daad71d47 fix(kernel/type_checker): memory access violation, closures (for printing error messages) had a uninteded reference to the type_checker
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-19 08:59:32 -07:00
Leonardo de Moura
39e101d323 feat(kernel/formatter): improve simple printer support for Pi and lambda
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-19 08:16:32 -07:00
Leonardo de Moura
28b70b4e04 feat(kernel/inductive): use nondependent elimination when the datatype is in Bool/Prop
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-18 15:39:48 -07:00
Leonardo de Moura
45252e2229 feat(kernel/inductive): add eliminator/recursor for inductive datatype declarations
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-18 14:17:57 -07:00
Leonardo de Moura
f826e98196 feat(kernel/formatter): avoid hierarchical names when printing local constants
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-18 13:50:29 -07:00
Leonardo de Moura
7bf0011905 feat(kernel/expr): add additional template for mk_app
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-18 13:15:58 -07:00
Leonardo de Moura
08aa4afb3e feat(kernel/abstract): add more Pi functions for simplifying the creation Pi-expressions
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-18 13:15:00 -07:00
Leonardo de Moura
950d69b977 test(lua): add tests for exercising datatype validation code
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-17 20:10:45 -07:00
Leonardo de Moura
ff3a7bd734 fix(kernel/type_checker): style
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-17 19:21:09 -07:00
Leonardo de Moura
8fcb84c8f2 feat(kernel/inductive): finish inductive datatype declaration validation
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-17 19:19:32 -07:00
Leonardo de Moura
5c7d3c79c4 feat(kernel/expr): improve get_app_args interface
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-17 19:19:10 -07:00
Leonardo de Moura
28e8299f6d feat(kernel/type_checker): add swap method
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-17 19:18:46 -07:00
Leonardo de Moura
f818c1a63e feat(kernel/inductive): add more inductive datatype validation
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-17 14:47:06 -07:00
Leonardo de Moura
d03e35aaac feat(kernel/inductive): add datatype and introduction rules declarations to environment, and fix tests
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-17 13:59:06 -07:00
Leonardo de Moura
18a17cd48b feat(kernel/level): add is_geq predicate, we need it for implementing the inductive datatype validation
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-17 13:39:54 -07:00
Leonardo de Moura
4348d5e63f refactor(kernel): remove unnecessary module
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-17 12:35:41 -07:00
Leonardo de Moura
a85a6b685b feat(kernel/formatter): add binding_body_fresh, let_body_fresh, and simplify formatter
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-17 12:30:03 -07:00
Leonardo de Moura
5ce134e24e chore(kernel): binder => binding where appropriate
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-17 11:37:27 -07:00
Leonardo de Moura
33ae79cd9e refactor(kernel): move shallow copy function to library
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-17 11:20:24 -07:00
Leonardo de Moura
d625c9a26c refactor(kernel): move max_sharing to library
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-17 11:15:08 -07:00
Leonardo de Moura
aafdd98acb refactor(kernel): remove telescope type, and procedures
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-17 10:51:40 -07:00
Leonardo de Moura
36b070cb5b refactor(kernel/inductive): simplify inductive datatype API
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-17 09:24:34 -07:00
Leonardo de Moura
5fc0f06a8d feat(library/kernel_bindings): add Lua API for declaring datatypes
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-16 18:08:50 -07:00
Leonardo de Moura
ace5dee63d feat(kernel/inductive): add getters for inductive decls
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-16 17:47:37 -07:00
Leonardo de Moura
6dedb480ec fix(kernel/abstract): bug in abstract for telescopes
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-16 17:47:04 -07:00
Leonardo de Moura
e6c52d17a6 fix(kernel/expr): memory leak introduced today
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-16 16:21:31 -07:00
Leonardo de Moura
7d76278506 fix(kernel/abstract): compilation warnining
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-16 15:39:19 -07:00
Leonardo de Moura
a0abbf7662 feat(kernel/formatter): make simple_formatter display Type instead of Bool if impredicativity is disabled
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-16 15:31:19 -07:00
Leonardo de Moura
69e72c278d feat(kernel): add proof irrelevance for classes
We can use this feature to implement proof irrelevance for Identity types.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-16 15:30:32 -07:00
Leonardo de Moura
193aa4a83f feat(library/kernel_bindings): improve Pi and Fun Lua APIs, and allow users to provide binder information
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-16 14:09:00 -07:00
Leonardo de Moura
862c5e354d feat(kernel/expr): attach auxiliary name (for pretty printing) into local constants
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-16 13:08:09 -07:00
Leonardo de Moura
91a1b62b9e feat(kernel): add telescope abstract procedure
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-16 11:56:44 -07:00
Leonardo de Moura
9a689ab0c3 feat(kernel): add telescope instantiate procedure
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-16 11:56:20 -07:00
Leonardo de Moura
40b3129e7b refactor(kernel): improve names
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-16 11:28:05 -07:00
Leonardo de Moura
d6d72ba80e refactor(kernel): add binder structure
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-16 10:51:54 -07:00
Leonardo de Moura
eb0abf557d feat(kernel/inductive): add inductive datatype kernel extension module interface
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-16 09:53:51 -07:00
Leonardo de Moura
660b9299ad refactor(kernel): (de)serialization procedures don't need to be in the kernel
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-15 17:23:36 -07:00
Leonardo de Moura
16553e77fa fix(kernel/type_checker): avoid assertion violation due to API misuse
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-15 14:17:34 -07:00
Leonardo de Moura
7c0cc3111a fix(kernel/type_checker): we must use different caches for infer_type and check
The new test tc4.lua exposes the problem being fixed.
We need separate caches otherwise we may mistakenly assume that an expression was already checked by the type checker, while only its type was inferred.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-15 13:53:11 -07:00
Leonardo de Moura
687639a599 fix[kernel/justification.cpp]: style
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-15 13:53:11 -07:00
Leonardo de Moura
494874fbab fix(kernel/type_checker): trust level test
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-15 13:53:10 -07:00
Leonardo de Moura
830537a58b feat(kernel/justification): add function for creating simple justification objects
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-15 13:53:10 -07:00
Leonardo de Moura
d58b8a8102 refactor(kernel): move delayed_justification to justification.h
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-15 13:53:10 -07:00
Leonardo de Moura
84c1cf9600 feat(kernel/kernel_exception): add new auxiliary functions for throwing kernel exceptions
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-15 13:53:10 -07:00
Leonardo de Moura
3a19d9fee1 refactor(kernel): revise macro_definition API
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-15 13:53:10 -07:00
Leonardo de Moura
6d30141a31 fix(kernel/formatter): remove unnecessary parenthesis
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-15 13:53:10 -07:00
Leonardo de Moura
08ac9c1f05 feat(kernel): add is_def_eq predicate in the extension_context API
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-15 13:53:10 -07:00
Leonardo de Moura
a6dc6060e2 fix(kernel/formatter): typo
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-15 13:53:10 -07:00
Leonardo de Moura
606e6226c2 fix(kernel/type_checker): the type checker cache was not taking into account binder information
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-14 17:14:57 -07:00
Leonardo de Moura
d5184a1751 feat(kernel/formatter): print binder_info in simple formater
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-14 16:51:49 -07:00
Leonardo de Moura
5d61d23bf6 refactor(kernel): move mk_tele_pi to expr.h, and rename it mk_pi
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-14 16:24:55 -07:00
Leonardo de Moura
9c5dfc387b refactor(kernel/replace_visitor): remove context from replace_visitor
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-14 15:53:09 -07:00
Leonardo de Moura
2e1a0bd50c feat(kernel/expr): add is_contextual binder info
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-14 14:54:27 -07:00
Leonardo de Moura
893e4d4ae2 fix(kernel/expr): bug in m_free_var_range let-expr field
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-14 14:28:47 -07:00
Leonardo de Moura
cf55a1bcc2 fix(kernel/type_checker): typo
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-14 10:35:42 -07:00
Leonardo de Moura
277e0e6d49 feat(kernel/formatter): prefix metavars with '?' and local vars with '!' in the simple formatter
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-14 10:16:54 -07:00
Leonardo de Moura
9ed700a5a6 feat(kernel/environment): add forget method
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-13 08:40:46 -07:00
Leonardo de Moura
7b15e558a2 refactor(kernel/converter): implement eta in whnf instead of is_def_eq.
Without cumulativity, we do not have problems with Eta at whnf anymore.
When we had cumulativity, we could not not simply reduce
     (fun x : A, f x) ==> f
This step is correct only if domain(f) was definitionally equal to f.
Here is a problematic example for systems with cumulativity
Given, f : Type.{2} -> Bool
     (fun x : Type.{1}, f x)

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-12 17:49:53 -07:00
Leonardo de Moura
3bc83fae56 refactor(kernel/type_checker): remove trace capability, we get it for free with tags
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-12 16:38:53 -07:00
Leonardo de Moura
2593f65ce1 feat(kernel): add tag to kernel expressions
Frontends can used tags to associate expressions with line number information.
The update_* procedures automatically propagate tags.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-12 16:33:25 -07:00
Leonardo de Moura
2e753e2cc0 fix(kernel/error_msgs): application type mismatch error message
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-12 14:49:42 -07:00
Leonardo de Moura
b18263a014 feat(kernel/formatter): adjust simple formatter to the new convention for displaying universe levels
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-12 14:42:01 -07:00
Leonardo de Moura
d4922daedf fix(kernel/level): add missing LEAN_THREAD_LOCAL directive
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-12 14:39:37 -07:00
Leonardo de Moura
a8a6bb1b7f fix(kernel/level): bug in get_undef_global
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-12 14:34:24 -07:00
Leonardo de Moura
89d6a1e691 fix(kernel/type_checker): check for undefined global/local levels
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-12 14:23:04 -07:00
Leonardo de Moura
b6d6df161f fix(kernel/level): bug in get_undef_param
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-12 14:22:23 -07:00
Leonardo de Moura
1244a951f2 fix(kernel/type_checker): add missing test: number of universe level parameters
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-12 12:57:27 -07:00
Leonardo de Moura
ff9004dae2 refactor(kernel): add level normalizer, is_equivalent predicate, switch to is_equivalent in the type checker, fix bugs in is_lt predicate
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-11 18:05:02 -07:00
Leonardo de Moura
7176181b42 refactor(kernel/converter): cleanup and remove universe cumulativity support
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-09 20:43:11 -07:00
Leonardo de Moura
e942aecca6 refactor(kernel/type_checker): remove method is_conv
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-09 20:29:35 -07:00
Leonardo de Moura
9d96f24766 refactor(kernel): remove convertability constraints
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-09 20:25:27 -07:00
Leonardo de Moura
d4400d6135 refactor(library/kernel_bindings): remove level_cnstrs
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-09 20:16:51 -07:00
Leonardo de Moura
7b6d555433 refactor(kernel): remove level constraints from definitions
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-09 20:11:50 -07:00
Leonardo de Moura
23ed003389 refactor(kernel): remove diff_cnstrs module
We don't need them anymore. We will drop universe cumulativity from the kernel.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-09 19:58:25 -07:00
Leonardo de Moura
6493ff5388 fix(kernel/formatter): print level parameters
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-09 19:50:04 -07:00
Leonardo de Moura
fca65a9d69 fix(kernel/environment): is_descendant optimization
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-08 18:48:25 -07:00
Leonardo de Moura
c843243f64 feat(library/kernel_bindings): add add_decl and type_check functions to Lua API
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-08 18:08:32 -07:00
Leonardo de Moura
f3c7bc948a feat(library/kernel_bindings): type_checker Lua API
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-07 19:04:15 -07:00
Leonardo de Moura
db39458c30 fix(kernel/level): predicate is_param_core
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-07 16:22:08 -07:00
Leonardo de Moura
9c760132e2 feat(kernel): add global levels to environment
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-07 16:07:31 -07:00
Leonardo de Moura
2424cf7ece fix(kernel/expr): old comment
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-07 13:07:17 -07:00
Leonardo de Moura
503d8dfa9e feat(kernel): add global universe level
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-06 16:13:29 -07:00
Leonardo de Moura
850ec69538 feat(kernel): add flag for disabling impredicativity of Prop/Bool in the kernel
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-05 14:09:17 -07:00
Leonardo de Moura
b83410f042 fix(library/kernel_bindings): g++ compilation error
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-02 14:34:56 -07:00
Leonardo de Moura
802edd77d1 feat(kernel/justification): add is_eqp predicate
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-02 12:15:29 -07:00
Leonardo de Moura
e4f69bd780 fix(kernel/justification): bug in depends_on
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-02 12:15:01 -07:00
Leonardo de Moura
50089dc64e feat(kernel/error_msgs): expose pp_indent_expr
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-02 12:03:12 -07:00
Leonardo de Moura
65486b2dec refactor(kernel/expr): add macro_definition smart pointer
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-01 18:05:46 -07:00
Leonardo de Moura
0bc101ac28 fix(kernel/metavar): typo
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-01 15:28:34 -07:00
Leonardo de Moura
ddd980aa63 fix(kernel/level): warning messages when compiling in release mode
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-01 13:06:00 -07:00
Leonardo de Moura
027614cebb fix(kernel/metavar): wierd memory leak that only happens when compiling with clang++
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-01 12:55:55 -07:00
Leonardo de Moura
6fb7039746 refactor(kernel): use structural hashing in type_checker and converter
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-01 10:41:53 -07:00
Leonardo de Moura
a5ae4b6570 feat(kernel): add binder annotations (implicit, cast)
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-01 10:35:02 -07:00
Leonardo de Moura
b0e0e82350 refactor(kernel): separate type_checker and converter
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-30 18:42:01 -07:00
Leonardo de Moura
3e222e2f22 refactor(kernel/formatter): add environment as an extra argument to the formatter
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-30 10:28:07 -07:00
Leonardo de Moura
93a61748e9 fix(kernel/level): bug in optional<level>() constructor
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-29 17:00:57 -07:00
Leonardo de Moura
49e626a0e0 refactor(kernel/metavar): switch to functional substitution datastructure
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-29 10:22:36 -07:00
Leonardo de Moura
cdae3ee780 fix(kernel/type_checker): style
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-28 14:17:34 -07:00
Leonardo de Moura
b70bac0e8d feat(kernel/type_checker): add backtracking trick to minimize the number of delta-reduction steps
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-28 14:03:46 -07:00
Leonardo de Moura
e62254fbb3 fix(kernel/expr): relax macro_definition interface
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-28 14:02:48 -07:00
Leonardo de Moura
1b9e2efb0c fix(kernel/environment): relax normalizer_extesion interface
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-28 14:01:44 -07:00
Leonardo de Moura
f320277248 feat(kernel/definition): add mk_definition procedure that automatically computes the weight
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-28 12:48:21 -07:00
Leonardo de Moura
6c3a796119 fix(kernel/type_checker): bug in whnf method, and missing call to max_sharing in is_conv and is_def_eq methods
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-28 12:09:23 -07:00
Leonardo de Moura
4e893d3902 fix(kernel/constraint): printer
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-28 12:02:59 -07:00
Leonardo de Moura
54936c201a fix(kernel/kernel_exception): typo
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-28 11:31:39 -07:00
Leonardo de Moura
6dfeff92f8 fix(kernel/constraint): add dealloc method
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-28 11:13:51 -07:00
Leonardo de Moura
e3b79730ba fix(kernel/level): initialization error
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-28 11:03:23 -07:00
Leonardo de Moura
2ddadfc920 fix(kernel/environment): compilation errors
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-28 10:58:14 -07:00
Leonardo de Moura
9f57ec059a fix(kernel/constraint): missing inline directive
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-28 10:53:53 -07:00
Leonardo de Moura
272463bd66 feat(kernel/type_checker): add check function
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-28 10:47:50 -07:00
Leonardo de Moura
e769c26800 refactor(kernel): move files that don't need to be in the kernel
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
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
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
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
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
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
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
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
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
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
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.
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
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)
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
fb2ec8fb12 fix(kernel): style
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
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
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:57 -07:00
Leonardo de Moura
3939b93c2d refactor(kernel): substitution
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
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
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
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
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
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:57 -07:00
Leonardo de Moura
54801bbd05 refactor(kernel): constraints
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
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
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
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
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
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
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
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
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
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
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
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
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
6baa59376c refactor(kernel): normalizer
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
410d5cc8ed fix(kernel): remove unnecessary file
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
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
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
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
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
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
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
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
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
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
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
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
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
533f44e224 refactor(kernel/expr): for_each_fn, replace_fn, and find_fn without templates
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
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
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
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
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
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
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
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
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'
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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)
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-22 09:41:07 -08:00
Leonardo de Moura
d9b5ebc738 refactor(builtin/kernel): cleanup Hilbert operator definition
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-22 09:18:40 -08:00
Leonardo de Moura
94a3136904 feat(builtin/kernel): add Hilbert's operator, and derive axiom of choice using it
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-22 08:21:11 -08:00
Leonardo de Moura
029d74ec11 chore(kernel): remove comment, we decided to have Eta as a simplification rule
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-21 14:35:05 -08:00