Commit graph

931 commits

Author SHA1 Message Date
Leonardo de Moura
2e6184a721 fix(frontends/lean): more bugs in section management
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-14 06:27:36 +01:00
Leonardo de Moura
8167ad329f fix(frontends/lean): bug in section management
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-14 05:04:01 +01:00
Leonardo de Moura
fab7934265 refactor(frontends/lean/elaborator): modify when tactic_hints are invoked, add the notion of strict placeholder
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-14 02:53:02 +01:00
Leonardo de Moura
e432e23115 test(tests/lean/run/class5): improve test
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-13 22:39:16 +01:00
Leonardo de Moura
1d273fcfdd chore(frontends/lean): rename 'obtains' to 'obtain'
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-12 06:35:24 +01:00
Leonardo de Moura
1230e942aa feat(library/unifier): handle 'first-order' flex-flex constraints
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-11 04:51:28 +01:00
Leonardo de Moura
cf34f75ab5 feat(frontends/lean): add 'obtains' expression
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-11 04:08:51 +01:00
Leonardo de Moura
6000270d35 chore(tests/lean): reactivate config.lean
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-10 23:32:23 +01:00
Leonardo de Moura
e9c17b154c fix(tests/lean): define LEAN_PATH in tests scripts
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-10 23:26:55 +01:00
Leonardo de Moura
92bb046854 test(tests/lean/run): add nested let-expr test
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-10 15:56:15 +01:00
Leonardo de Moura
c13c75b93e feat(frontends/lean/pp): add option for displaying fully qualified names
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-10 15:55:19 +01:00
Leonardo de Moura
06beff327f test(tests/lean/run): add more universe tests
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-10 14:43:55 +01:00
Leonardo de Moura
49bc3fffbd fix(frontends/lean/pp): purify procedure for local names
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-10 14:13:51 +01:00
Leonardo de Moura
fc8ddcb0ce feat(frontends/lean): improve 'check' command when used inside sections
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-10 14:07:41 +01:00
Leonardo de Moura
1a6d0784f2 feat(kernel/level): improve universe level normalization procedure
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-10 13:49:41 +01:00
Leonardo de Moura
d9b2801eeb feat(frontends/lean): use the same universe in declarations such as (A B : Type)
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-10 13:18:52 +01:00
Leonardo de Moura
12d89ea0b9 fix(kernel/level): is_geq predicate
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-10 13:18:41 +01:00
Leonardo de Moura
aff766430d fix(frontends/lean/pp): universe pretty printer
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-09 19:17:28 -07:00
Leonardo de Moura
43eba857cb feat(frontends/lean): add let-expr pretty printer, reduce default indentation to 2
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-09 18:47:10 -07:00
Leonardo de Moura
2ef7b9be2f feat(frontends/lean): add basic pretty printer
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-09 01:12:36 -07:00
Leonardo de Moura
2ad1a93657 test(tests/lean/run): add append tactic test
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-08 18:21:22 -07:00
Leonardo de Moura
a1601e7a5f feat(library/tactic/apply_tactic): add option for 'refreshing' universe metavariables in the 'apply' tactic
The new test ../../tests/lean/run/tactic27.lean demonstrates why we need this feature. The tactic 'apply @refl' is actually 'apply @refl.{?l}'. It is used inside of a repeat tactical. Each iteration of the 'repeat' may need to use a different value for ?l. Before this commit, there was not way to say we want a fresh ?l each iteration.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-08 16:55:23 -07:00
Leonardo de Moura
4505016154 feat(frontends/lean): allow tactic_hints to be applied when class-instance mechanism fails
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-08 15:08:13 -07:00
Leonardo de Moura
5e836092cc feat(frontends/lean): allow user to suppress proofs in theorems, and let them be inferred automatically using tactic_hints
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-08 15:08:13 -07:00
Leonardo de Moura
a3be63af73 feat(frontends/lean): add tactic_hint command
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-08 15:08:13 -07:00
Leonardo de Moura
da4c1922e3 feat(frontends/lean): add '_root_' prefix for referencing names in the root namespace
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-07 19:15:46 -07:00
Leonardo de Moura
b43fb7448c feat(frontends/lean): search for identifiers in the stack of namespaces; reject non-atomic names as local names
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-07 19:00:06 -07:00
Leonardo de Moura
e6d4c01b88 feat(frontends/lean): check whether namespace exists or not in the 'using' command, add to_valid_namespace_name helper function
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-07 18:17:10 -07:00
Leonardo de Moura
bd1873f6b1 feat(frontends/lean): add coercion modifier
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-07 17:48:20 -07:00
Leonardo de Moura
08465f049a feat(frontends/lean): remove [class] annotation and 'class' command, they are redundant, we only need [instance] and 'instance'
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-07 16:09:30 -07:00
Leonardo de Moura
112353861c feat(frontends/lean): rename command 'reset_proof_qed' to 'set_proof_qed'
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-07 15:48:16 -07:00
Leonardo de Moura
c16951aba6 fix(library/aliases): aliasing behavior
The new test '../../tests/lean/run/alias3.lean' demonstrates the issue being fixed.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-07 15:40:55 -07:00
Leonardo de Moura
b9d08ff28c feat(frontends/lean/builtin_cmds): allow many namespaces in the same 'using' command
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-07 14:53:06 -07:00
Leonardo de Moura
d30f387e72 feat(library/standard): add namespace 'pair'
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-07 14:48:19 -07:00
Leonardo de Moura
10b0dfeb37 feat(frontends/lean/class): allow many instances to provided with a single 'instance' command
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-07 14:41:14 -07:00
Leonardo de Moura
6ceecf6a15 feat(library/aliases): remove duplicates from aliasing tables
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-07 12:59:57 -07:00
Leonardo de Moura
b956ce68d2 feat(frontends/lean/elaborator): keep postponing delayed coercions until the type can be inferred
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-07 12:50:43 -07:00
Leonardo de Moura
831de22bcd fix(frontends/lean): bugs in notation management
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-07 09:31:42 -07:00
Leonardo de Moura
e8bd267a00 fet(frontends/lean): allow coercions to sort-class in the types of variable and definitions
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-06 21:54:16 -07:00
Leonardo de Moura
48b28ad75c fix(library/unifier): missing test in flex_rigid
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-06 21:36:23 -07:00
Leonardo de Moura
dcf7cf00ff fix(*): bugs in the type checker, inductive datatypes, and unifier
The bugs were indentified when performing the tiny change in the file
tests/lean/run/group.lean
2014-07-06 18:44:56 -07:00
Leonardo de Moura
9a13bef4f3 fix(frontends/lean): fix (and simplify) parameter universe inference
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-06 16:56:54 -07:00
Leonardo de Moura
8e5ac54ae1 test(tests/lean/run): group experiments
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-05 22:31:57 -07:00
Leonardo de Moura
55894f01e3 feat(frontends/lean): add 'opaque_hint' command
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-05 18:58:20 -07:00
Leonardo de Moura
e68a3e5251 test(tests/lean/run): add another class-instance example
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-05 17:41:08 -07:00
Leonardo de Moura
59755289e4 feat(library/unifier): case split on constraints of the form (f ...) =?= (f ...), where f can be unfolded, and there are metavariables in the arguments
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-05 15:52:40 -07:00
Leonardo de Moura
a52c9f4e2b feat(library/unifier): add option 'unifier.unfold_opaque', remove option 'unifier.use_exceptions' (the user should not be able to change this)
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-05 09:43:16 -07:00
Leonardo de Moura
efabd2280c feat(library/unifier): allow unifier to unfold opaque definitions of the current module
It is not clear whether this is a good idea or not. In some cases, it seems to do more harm than good.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-05 00:46:03 -07:00
Leonardo de Moura
99fb6431a6 fix(frontends/lean/elaborator): support for local instances
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-04 18:38:08 -07:00
Leonardo de Moura
8ab0b5bee3 feat(frontends/lean/elaborator): use local declarations as class instances
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-04 18:18:25 -07:00
Leonardo de Moura
00e1a7db23 feat(frontends/lean/elaborator): add class instance elaboration
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-04 15:45:50 -07:00
Leonardo de Moura
b94ce412ae fix(library/unifier): non-termination
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-04 10:32:01 -07:00
Leonardo de Moura
a97f82be1a fix(library/standard): orelse notation, avoid conflict with inductive datatype declaration
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-04 10:10:05 -07:00
Leonardo de Moura
e0501104e2 feat(library/tactic): add 'fixpoint' tactic
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-04 01:30:28 -07:00
Leonardo de Moura
7fb2b0f6d8 feat(kernel): add method 'may_reduce_later' to normalizer_extension, and improve unifier
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-03 22:31:05 -07:00
Leonardo de Moura
855ffcba34 feat(library/standard): add pairs
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-03 20:43:16 -07:00
Leonardo de Moura
110b622b83 feat(library/unifier): add support for unification constraints of the form "(elim ... (?m ...)) =?= t", where elim is an eliminator
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-03 20:41:51 -07:00
Leonardo de Moura
b5f63e78ca feat(frontends/lean/notation_cmd): reuse existing precedence to increase compatibility with existing notation
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-03 17:23:29 -07:00
Leonardo de Moura
fa1857e6a9 fix(frontends/lean/notation_cmd): fix default, add 'prev' action
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-03 16:44:44 -07:00
Leonardo de Moura
abbd054b51 feat(library/tactic): add eassumption tactic, and remove redundant 'subgoals' from apply tactic
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-03 13:04:46 -07:00
Leonardo de Moura
d63ccbcf94 fix(library/unifier): missing case
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-03 10:51:59 -07:00
Leonardo de Moura
0ff145e59b feat(library/tactic): add apply tactic
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-03 09:20:01 -07:00
Leonardo de Moura
c1538bfc40 test(tests/lean/run): add 'apply subst' test
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-03 09:07:56 -07:00
Leonardo de Moura
a7d660f875 feat(frontends/lean): add command for customizing the behavior of proof-qed blocks: we can automatically register tactics to be automatically applied before each component
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-02 20:45:10 -07:00
Leonardo de Moura
5527955ba8 feat(frontends/lean): add 'proof-qed' notation
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-02 19:30:48 -07:00
Leonardo de Moura
60c637fb9d feat(library/tactic): add 'exact' tactic
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-02 18:37:32 -07:00
Leonardo de Moura
37b5b7c4c2 feat(library/tactic): rename 'exact' to 'assumption', 'exact' is a different tactic
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-02 18:10:42 -07:00
Leonardo de Moura
ee531ec0e2 feat(frontends/parser): improve error message when an apply tactic refers a local constant that is not marked as [fact]
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-02 14:09:01 -07:00
Leonardo de Moura
0f27856e4a feat(library/tactic): new apply tactic
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-02 13:14:50 -07:00
Leonardo de Moura
6ab46396d8 feat(library/tactic): expose 'trace' tactic
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-02 10:52:45 -07:00
Leonardo de Moura
e1d909455c refactor(library/tactic): add namespace 'tactic', improve expr_to_tactic failure error message
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-02 10:45:09 -07:00
Leonardo de Moura
a66a08c89e feat(frontends/lean): parse strings as expressions of type 'string.string'
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-02 10:00:55 -07:00
Leonardo de Moura
0198dfc7c5 feat(frontends/lean): parse numerals as expressions of type 'num.num'
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-02 08:09:33 -07:00
Leonardo de Moura
7593ee1468 refactor(library/standard): remove parameter from 'tactic' inductive type
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-02 08:09:24 -07:00
Leonardo de Moura
b2b76b078f feat(frontends/lean): remove build_tactic_cmds, and use expressions for representing tactics
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-01 20:43:53 -07:00
Leonardo de Moura
5b69f88664 feat(frontends/lean/notation_cmd): make the notation for setting precedence uniform
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-01 16:55:41 -07:00
Leonardo de Moura
8d584e54da feat(frontends/lean): add exact_apply
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-30 00:51:11 -07:00
Leonardo de Moura
33cb9382aa feat(frontends/lean): add beta-reduction tactic command
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-29 19:41:54 -07:00
Leonardo de Moura
360e9b9486 feat(library/tactic): add apply tactic
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-29 18:33:53 -07:00
Leonardo de Moura
6645fdeae0 feat(frontends/lean): add repeat tactic command, refactor tactic sequence notation
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-29 12:24:13 -07:00
Leonardo de Moura
2510d5722a feat(frontends/lean): add unfold tactic command
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-29 12:05:45 -07:00
Leonardo de Moura
6d09d82a7c feat(frontends/lean): add notation for orelse tactic, add show and now tactics
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-29 11:39:18 -07:00
Leonardo de Moura
a1bbb09de4 feat(frontends/lean): add notation for then tactic
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-29 11:24:56 -07:00
Leonardo de Moura
ffa175009b feat(frontends/lean): use tactics for solving unassigned metavariables
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-29 09:50:16 -07:00
Leonardo de Moura
1e39a21823 feat(frontends/lean): add basic tactics
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-29 09:03:51 -07:00
Leonardo de Moura
7d5522e36a chore(tests): add missing tests
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-29 09:03:51 -07:00
Leonardo de Moura
f5f3816596 chore(tests): cleanup test scripts
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-29 09:03:39 -07:00
Leonardo de Moura
cf28981f45 feat(tests/lean/run): add test_single script that sets the LEAN_PATH
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-29 07:47:46 -07:00
Leonardo de Moura
193ce35419 refactor(frontends/lean/inductive_cmd): redesign inductive datatype elaboration, use the new elaborator, and use simpler algorithm to infer the resulting universe
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-28 15:33:56 -07:00
Leonardo de Moura
0adacb5191 feat(kernel): add infer implicit, and use it to infer implicit arguments of inductive datatype eliminators, and tag whether parameters should be implicit or not in introduction rules in the module inductive_cmd
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-28 13:57:36 -07:00
Leonardo de Moura
47ff300d1a fix(frontends/lean): '@' explicit mark
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-28 07:30:36 -07:00
Leonardo de Moura
ccce9d90a4 feat(frontends/lean/elaborator): add 'delayed coercions', add example demonstrating why the new feature is useful
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-26 18:39:23 -07:00
Leonardo de Moura
340dc622c6 fix(kernel/formatter): make sure simple formatter output is not sensitive to internal names
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-26 14:58:59 -07:00
Leonardo de Moura
150d285b39 fix (library/unifier): occurs_context_check
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-26 14:45:36 -07:00
Leonardo de Moura
16bdc51fc4 refactor(kernel/type_checker): simplify type checker API, and remove add_cnstr_fn
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-26 13:36:31 -07:00
Leonardo de Moura
a70f8dd98e feat(kernel/inductive): mark parameters, type formers and indices as implicit parameters in the elimination rule
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-26 11:05:14 -07:00
Leonardo de Moura
5e0e737213 feat(library/scoped_ext): do not import 'children' namespace objects
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-26 10:32:34 -07:00
Leonardo de Moura
a7623845f9 test(tests/lean/run): add another example on how to deal with ambiguity
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-26 10:18:35 -07:00
Leonardo de Moura
930960c54d fix(frontends/lean/builtin_cmds): abstract section parameters in the 'check' command
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-26 10:06:50 -07:00
Leonardo de Moura
cc21bfd01d test(tests/lean/run): more tests on how to deal with ambiguity
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-26 09:32:26 -07:00
Leonardo de Moura
dc5553ea5c test(tests/lean/run): add test demonstrating how to control ambiguity
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-26 09:32:19 -07:00
Leonardo de Moura
da6e92787a test(tests/lean/run): add simple overloading test
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-26 09:32:12 -07:00
Leonardo de Moura
acf8c13619 feat(kernel): add strict implicit arguments
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-25 17:50:49 -07:00
Leonardo de Moura
4bc1f3cf81 test(lean/run): add elaborator tests
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-25 16:15:01 -07:00
Leonardo de Moura
49a6048060 test(lean/run): add another test for new elaborator
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-25 13:18:32 -07:00
Leonardo de Moura
3e7dfa6212 fix(frontends/lean): infer type of definitions
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-25 08:39:14 -07:00
Leonardo de Moura
d055c4880f feat(frontends/lean): connect new elaborator to frontend
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-25 08:31:00 -07:00
Leonardo de Moura
603dafbaf7 refactor(kernel): remove 'let'-expressions
We simulate it in the following way:
1- An opaque 'let'-expressions (let x : t := v in b) is encoded as
      ((fun (x : t), b) v)
   We also use a macro (let-macro) to mark this pattern.
   Thus, the pretty-printer knows how to display it correctly.

2- Transparent 'let'-expressions are eagerly expanded by the parser.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-24 16:27:27 -07:00
Leonardo de Moura
aa8b5655dd feat(frontends/lean): add notation overwrite
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-23 16:10:36 -07:00
Leonardo de Moura
5bd86754af feat(frontends/lean/builtin_cmds): change notation for marking implicit/cast parameter in sections
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-22 17:51:00 -07:00
Leonardo de Moura
2589d60bfd feat(frontends/lean): add nameless 'have' expression
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-20 17:18:18 -07:00
Leonardo de Moura
4b227409bf feat(frontends/lean): add 'then have' expression
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-20 14:27:21 -07:00
Leonardo de Moura
4560413a92 feat(frontends/lean): add '[fact]' modifier for 'have' expression
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-20 11:58:05 -07:00
Leonardo de Moura
39177ec10a feat(frontends/lean): flip definition modifiers position, now they must occur after the identifier
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-20 11:58:05 -07:00
Leonardo de Moura
bdab979e09 feat(frontends/lean): add inductive_cmd
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-18 16:00:59 -07:00
Leonardo de Moura
3bb53810c5 test(lean/run): add notation test
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-18 09:48:47 -07:00
Leonardo de Moura
08845be2fc feat(frontends/lean/notation_cmd): improve 'notation' cmd
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-18 09:28:01 -07:00
Leonardo de Moura
3e3c4ee5ed feat(frontends/lean/parser): add local_scope object to Lua API
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-18 08:38:23 -07:00
Leonardo de Moura
6259d20218 feat(frontends/lean/parser): expand Lua parser API
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-18 08:03:17 -07:00
Leonardo de Moura
813e033f54 test(lean): add simple example of notation implemented using Lua
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-17 22:37:22 -07:00
Leonardo de Moura
4cbc429192 feat(frontends/lean/calc): add parse_calc function
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-17 17:16:15 -07:00
Leonardo de Moura
e178979061 feat(frontends/lean): add calc_subst, calc_refl, calc_trans commands for configuring calc-expressions
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-17 13:35:31 -07:00
Leonardo de Moura
819c8276f2 feat(frontends/lean/builtin_cmds): add 'variables' command family
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-17 08:25:00 -07:00
Leonardo de Moura
ea49176043 feat(frontends/lean/builtin_cmds): add 'using' command, and 'hiding/renaming' directives
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-16 18:42:39 -07:00
Leonardo de Moura
639d58f4c7 feat(frontends/lean/builtin_cmds): add 'print options' command
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-16 17:31:28 -07:00
Leonardo de Moura
3e377a9732 feat(frontends/lean/builtin_cmds): add 'set_option' command
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-16 17:27:43 -07:00
Leonardo de Moura
4f3da90443 feat(frontends/lean/builtin_exprs): add 'have' and 'show' expressions
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-16 15:04:29 -07:00
Leonardo de Moura
873a5c8605 test(lean): add 'let' expression test
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-16 14:11:26 -07:00
Leonardo de Moura
21c54755a9 fix(kernel/converter): bug in is_def_eq
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-16 14:09:12 -07:00
Leonardo de Moura
f70b1b028a feat(frontends/lean): provide position to parse_fn external function, add 'by' expression
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-16 12:28:58 -07:00
Leonardo de Moura
34dfacc10e refactor(frontends/lean): Bool does not need to be a reserved keyword
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-16 10:52:12 -07:00
Leonardo de Moura
6db265e7ab feat(frontends/lean/builtin_exprs): parse '_' placeholder
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-16 10:41:08 -07:00
Leonardo de Moura
5ce0502a36 feat(frontends/lean/builtin_exprs): add parser for 'let' expressions
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-16 09:50:34 -07:00
Leonardo de Moura
27130c9499 feat(frontends/lean): local notation 'shadows' global one
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-15 11:50:41 -07:00
Leonardo de Moura
28047a33ae feat(frontends/lean): add local notation support
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-15 11:30:52 -07:00
Leonardo de Moura
64cafd6875 feat(frontends/lean/notation_cmd): add 'notation' command
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-15 10:49:05 -07:00
Leonardo de Moura
9b389a96d5 feat(frontends/lean/notation_cmd): modify infixl/infixr/postfix command syntax
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-15 08:28:49 -07:00
Leonardo de Moura
e7019ec840 feat(frontends/lean): add infixl/infixr/postfix/precedence commands, add support for storing notation in .olean files, add support for organizing notation into namespaces
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-14 22:13:25 -07:00
Leonardo de Moura
891a3fb48b feat(frontends/lean): add command block reader with snapshot and resume
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-14 14:13:32 -07:00
Leonardo de Moura
5fee6fd140 feat(shell/lean): add '-o' command line option
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-14 08:10:43 -07:00
Leonardo de Moura
282a35bd1b feat(frontends/lean): add '#setline' directive
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-14 07:28:56 -07:00
Leonardo de Moura
fad4780d72 test(lean/run): add overload test
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-13 18:06:44 -07:00
Leonardo de Moura
48c58af9b5 feat(frontends/lean/parser): allow explicit universe level to be provided to aliases and locals
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-13 18:00:52 -07:00
Leonardo de Moura
a65c43c0db feat(frontends/lean/builtin_cmds): add definition command family
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-13 17:30:35 -07:00
Leonardo de Moura
01cecb76db feat(frontends/lean/builtin_cmds): add 'variable' command family
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-13 15:13:50 -07:00
Leonardo de Moura
ce259e6265 feat(frontends/lean/parser): add namespace/section/end commands, add support for explicit universe levels, fix Type notation'
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-13 11:34:43 -07:00
Leonardo de Moura
3bde699fbe feat(frontends/lean/parser): add parse_level
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-12 12:34:55 -07:00
Leonardo de Moura
cffbae3667 test(tests/lean/run): add new test group, where we just execute Lean (and don't check output)
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-11 21:07:23 -07:00
Leonardo de Moura
05edbe00ad chore(shell): re-activate .lean tests
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-11 14:36:42 -07:00
Leonardo de Moura
1972a09021 feat(frontends/lean/builtin_cmds): add simple 'print' command
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-11 14:35:34 -07:00
Leonardo de Moura
2e8ebb6d9e feat(frontends/lean/parser): add 'parse_commands' and 'parse_script'
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-06-11 14:32:07 -07:00
Leonardo de Moura
3a0861bca7 test(lean): remove old test
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-17 10:42:10 -07:00
Leonardo de Moura
9f06cd553e test(lean): remove tests using Lean old syntax and kernel
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-05-17 10:38:53 -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
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
b7b868de85 fix(library/elaborator): bug reported by Jeremy Avigad
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-10 14:01:22 -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
4317f67bd2 fix(builtin/tactic): more meaningful error message when skip tactic is used in a full proof
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-09 18:57:33 -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
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
d4b08fcf96 feat(library/elaborator): be 'lazy' when normalizing terms in the elaborator
Unification constraints of the form

         ctx |- ?m[inst:i v] == T

         and

         ctx |- (?m a1 ... an) == T

are delayed by elaborator because the produce case-splits.
On the other hand, the step that puts terms is head-normal form is eagerly applied.
This is a bad idea for constraints like the two above. The elaborator will put T in head normal form
before executing process_meta_app and process_meta_inst. This is just wasted work, and creates
fully unfolded terms for solvers and provers.

The new test demonstrates the problem. In this test, we mark several terms as non-opaque.
Without this commit, the produced goal is a huge term.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-06 21:08:00 -08:00
Leonardo de Moura
593f1f2ebd fix(frontends/lean): allow user set constants defined in other namespaces as opaque
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-06 20:56:31 -08:00
Leonardo de Moura
363c4dc5c2 feat(library/elaborator): improve support for dependent pairs in the elaborator
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-06 20:56:31 -08:00
Leonardo de Moura
ea06bb2885 feat(frontends/lean/pp): change how lift local entries are pretty printed
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-06 17:26:38 -08:00
Leonardo de Moura
a51139e63b feat(frontends/lean): position information in error messages
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-06 17:26:38 -08:00
Leonardo de Moura
e4579b93e4 fix(library/elaborator): try first projection before imitation in the higher-order unifier
Projections build more general solutions. This commit also adds a test that demonstrates the issue. Before this commit, the elaborator would produce the "constant" predicate (fun x, a + b = b + a).

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-06 13:35:05 -08:00
Leonardo de Moura
ef321e730f feat(builtin/tactic): add the 'skip' (bogus) tactic for ignoring a proof hole in a big proof
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-06 12:47:23 -08:00
Leonardo de Moura
eab0456b27 test(tests/lean): test super opaque style
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-06 11:33:27 -08:00
Leonardo de Moura
fdc4c9b53c test(tests/lean): add nested 'have' expression test
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-06 08:13:04 -08:00
Leonardo de Moura
1d23d93e60 feat(frontends/lean): new 'have' expression
Add 'have' notation suggested by Jeremy Avigad.
Add his example to the test suite.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-06 08:03:59 -08:00
Leonardo de Moura
ba9a8f9d98 feat(frontends/lean): add 'show' expression syntax sugar
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-06 07:50:22 -08:00
Leonardo de Moura
419fb7464e fix(tests/lean): adjust tests to reflect recent changes
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-05 21:04:06 -08:00
Leonardo de Moura
aec9c84d0d fix(util/lua): deadlock
Errors in the Lua library produce longjmps.
The longjmp will not unwind the C++ stack.
In the new test, the lock was not being released, and the system was deadlocking in the next call that tried to lock the environment

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-04 15:16:29 -08:00
Leonardo de Moura
f4ec874c6e refactor(builtin): remove dead module heq
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-04 14:42:28 -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
f03c09c10b feat(library/elaborator): add support for proj/pair/sigma in the the higher-order unification procedure
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-04 13:53:30 -08:00
Leonardo de Moura
413391b2b4 chore(tests/lean/sig2): remove unnecessary parenthesis from test
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-04 11:37:08 -08:00
Leonardo de Moura
c9b72df34b fix(frontends/lean/parser): bug when applying tactics to synthesize remaining meta-variables
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-04 11:36:26 -08:00
Leonardo de Moura
96c9c7505a test(tests/lean): add another sigma-type test
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-04 10:12:39 -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
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
cc96b50644 feat(frontends/lean): support for nary-tuples, improve notation for non-dependent tuples, add support in the elaborator for sigma types
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-03 20:53:11 -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
640ebcc040 test(tests/lean/exp): add example for Steve
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-03 11:35:40 -08:00
Leonardo de Moura
e4afa3dc43 fix(tests/lean/map): incorrect output
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-03 00:05:19 -08:00
Leonardo de Moura
87f9c9b27e fix(tests/lean/map): make sure the unit test produce the same result in different platforms
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-02 20:29:34 -08:00
Leonardo de Moura
e2add5c9f2 test(tests/lean): add heterogeneous equality simplification example
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-02 20:27:39 -08:00
Leonardo de Moura
6be50f0133 refactor(builtin/heq): merge cast and heq modules
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-02 15:01:48 -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
2b7bc7b673 test(tests/lean/exp): simulating HOL constructions
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-31 17:59:57 -08:00
Leonardo de Moura
e3dc552c39 fix(library/simplifier): nontermination
The example tests/lua/simp1.lua demonstrates the issue.
The higher-order matcher matches closed terms that are definitionally equal.
So, given a definition

    definition a := 1

it will match 'a' with '1' since they are definitionally equal.

Then, if we have a theorem

    theorem a_eq_1 : a = 1

as a rewrite rule, it was triggering the following infinite loop when simplifying the expression "a"

   a --> 1 --> 1 --> 1 ...

The first simplification is expected. The other ones are not.
The problem is that "1" is definitionally equal to "a", and they match.
The rewrite_rule_set manager accepts the rule a --> 1 since the left-hand-side does not occur in the right-hand-side.

To avoid this loop, we test if the new expression is not equal to the previous one.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-31 15:55:21 -08:00
Leonardo de Moura
1d85267d26 fix(library/simplifier): assumptions/context may contain equations where the left-hand-side is a metavariable or semantic attachment
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-31 15:38:22 -08:00
Leonardo de Moura
110ca84984 feat(library/simplifier): allow the user to associate a simplifier monitor with the lua_State object
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-31 13:49:24 -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
b45ab9dc30 feat(library/elaborator): use equality constraints instead of convertability constraints on definitions
Convertability constraints are harder to solve than equality constraints, and it seems they don't buy us anything definitions. They are just increasing the search space for the elaborator.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-30 14:13:21 -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
41f5e2a067 feat(library/simplifier): statically check (conditional) equations (aka rewrite rules) to verify whether we can skip type checking when using them in the simplifier
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-29 18:32:40 -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
ea6bf224e5 feat(frontends/lean): make the parser accept (Type -> ...)
Before this commit, the parser would accept only a universe level or a ')' after '(' 'Type'

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-29 15:23:20 -08:00
Leonardo de Moura
4f3127d3d5 fix(library/simplifier): check if the given types are convertible to ceq expected types
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-29 15:15:55 -08:00
Leonardo de Moura
0bb8fe75b3 test(tests/lean): new simplifier test
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-29 14:21:18 -08:00
Leonardo de Moura
a19f9d4846 feat(library/simplifier): discard conditional equations that are clearly non-terminating
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-29 13:56:45 -08:00
Leonardo de Moura
4dc3aa46c3 feat(frontends/lean): allow tactics to be used in axiom/variable declarations and in the type of definitions/theorems; add a new test showing the need for this feature
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-29 12:02:12 -08:00
Leonardo de Moura
069e5edf6b fix(library/simplifier): include flag indicating if the proof generated by simplifier is a homogenous or heterogenous equality, use flag to fix bug in the simp_tactic
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-29 12:01:01 -08:00
Leonardo de Moura
62408a6adc test(tests/lean): move simp_loop test to slow subdirectory
This example produces a stackoverflow on Valgrind.
We don't execute Valgrind on tests in the slow subdirectory.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-29 10:32:48 -08:00
Leonardo de Moura
ee4344076e feat(library/simplifier): improve error message when simplifier is looping
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-28 19:36:31 -08:00
Leonardo de Moura
72c607846a test(tests/lean): add Jeremy's proof to test suite
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-28 16:05:46 -08:00
Leonardo de Moura
7f53cb9601 feat(frontends/lean/parser): add_rewrite take the 'using' command into account
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-28 01:15:28 -08:00
Leonardo de Moura
b31ef34787 feat(library/simplifier): preserve binder names when applying higher-order rewrite rules
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-28 00:50:27 -08:00
Leonardo de Moura
6da1b447f0 fix(library/hop_match): do not match iff with =
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-28 00:21:05 -08:00
Leonardo de Moura
db45d02078 fix(tests/lean): test discrepancy on OSX
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-27 23:31:35 -08:00
Leonardo de Moura
7b88d68afb test(tests/lean): add test using simplifier monitor for tracking failures
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-27 15:11:16 -08:00
Leonardo de Moura
8bccfb947a feat(library/simplifier): expose simplier and simplifier_monitor objects in the Lua API
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-27 15:02:05 -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
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
844572c382 feat(library/simplifier): support for dependent simplification in Pi/forall expressions
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-26 00:32:05 -08:00
Leonardo de Moura
e8bba1ebf3 fix(frontends/lean/frontend): the definition of the explicit version @f must be definitionally equal to f
Before this commit, the explicit version @f of a constant f with implicit arguments as not definitionally equal to f.

For example, if we had

variable f {A : Type} : A -> Bool

Then, the definition of @f was

definition @f (A : Type) (a : A) : Bool := f A a

This definition is equivalent to
     fun A a, f A a
which is not definitionally equal to
     f
since definitionally equality in Lean ignores Eta conversion.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-25 20:34:28 -08:00
Leonardo de Moura
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
5b13ef1b90 test(tests/lean): new simplifier test
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-25 10:56:49 -08:00
Leonardo de Moura
7015089734 fix(library/simplifier): move to locally nameless approach in the simplifier. Contextual simplification may add rewriting rules with free variables, and it is a mess to manage them when using de Bruijn indices
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-25 10:49:44 -08:00
Leonardo de Moura
7a4eb4b8ed feat(library/simplifier): contextual simplification for A -> B
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-24 22:32:55 -08:00
Leonardo de Moura
c2381e43f1 fix(library/simplifier): bug in cast elimination
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-24 21:25:09 -08:00
Leonardo de Moura
35ad156a46 fix(tests/lean): make sure pretty print and parse test passes
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-24 17:23:55 -08:00
Leonardo de Moura
8f455f5965 fix(frontends/lean): bug in scope construct
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-24 17:23:29 -08:00
Leonardo de Moura
7f3e2b3ef4 fix(frontends/lean/parser): bug in 'using' construct
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-24 17:09:46 -08:00
Leonardo de Moura
8e0888828d fix(library/simplifier): missing check in mk_hcongr_th
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-24 17:09:46 -08:00
Leonardo de Moura
1a3660180e test(tests/lean): add new simplifier test
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-24 17:09:46 -08:00
Leonardo de Moura
26bea77721 fix(library/simplifier): bug in heterogeneous equality support, and universe commutativity support in the simplifier
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-24 17:09:46 -08:00
Leonardo de Moura
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
cd87cb3de4 test(tests/lean): add test for congruence theorem that uses an argument before simplification
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-23 13:26:09 -08:00
Leonardo de Moura
180be5c4a2 feat(library/simplifier): improve contextual simplifications
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-23 13:11:58 -08:00
Leonardo de Moura
5ba2525eab test(tests/lean): add test disabling contextual simplifications
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-23 12:57:05 -08:00
Leonardo de Moura
33193e1ab3 feat(library/simplifier): improve contextual simplifications
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-23 12:54:29 -08:00
Leonardo de Moura
d6692264e8 feat(library/simplifier): contextual simplifications
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-23 12:23:22 -08:00
Leonardo de Moura
1638a7bb02 fix(frontends/lean/pp): compute local shared nodes, and avoid unnecessary let's
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-22 21:44:24 -08:00
Leonardo de Moura
17cce340f6 fix(library/elaborator): in optimization for metavariable free terms
The optimization was incorrect if the term indirectly contained a metavariable.
It could happen if the term contained a free variable that was assigned in the context to a term containing a metavariable.

This commit also adds a new test that exposes the problem.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-22 18:06:00 -08:00
Leonardo de Moura
8214c7add4 feat(library/elaborator): compensate the lack of eta-reduction (and eta-expanded normal forms) in the kernel normalizer
Before this commit, the elaborator was solving constraints of the form

       ctx |- (?m x) == (f x)
as
       ?m <- (fun x : A, f x)    where A is the domain of f.

In our kernel, the terms f and (fun x, f x) are not definitionally equal.
So, the solution above is not the only one. Another possible solution is

       ?m  <- f

Depending of the circumstances we want  ?m <- (fun x : A, f x) OR ?m <- f.
For example, when Lean is elaborating the eta-theorem in kernel.lean, the first solution should be used:
       ?m <- (fun x : A, f x)

When we are elaborating the axiom_of_choice theorem, we need to use the second one:
       ?m <- f

Of course, we can always provide the parameters explicitly and bypass the elaborator.
However, this goes against the idea that the elaborator can do mechanical steps for us.

This commit addresses this issue by creating a case-split
       ?m <- (fun x : A, f x)
       OR
       ?m <- f

Another solution is to implement eta-expanded normal forms in the Kernel.

With this change, we were able to cleanup the following "hacks" in kernel.lean:
     @eps_ax A (nonempty_ex_intro H) P w Hw
     @axiom_of_choice A B P H
where we had to explicitly provided the implicit arguments

This commit also improves the imitation step for Pi-terms that are actually arrows.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-22 13:28:54 -08:00
Leonardo de Moura
331b5846c6 test(library/simplifier): add test for the single_pass option in the simplifier
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-21 13:47:54 -08:00
Leonardo de Moura
ead54bbf57 feat(library/simplifier): enforce max_steps option
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-21 12:12:17 -08:00
Leonardo de Moura
1ccfac5873 feat(library/simplifier): conditional rewriting
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 21:15:46 -08:00
Leonardo de Moura
cd19d4da01 feat(library/simplifier): memoize intermediate results
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 17:03:44 -08:00
Leonardo de Moura
97ead50a3e feat(builtin/Nat): flip orientation of associativity axioms for + and *
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 15:38:00 -08:00
Leonardo de Moura
d1bd56b3d3 fix(tests/lean): adjust test to reflect recent changes
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 14:47:03 -08:00
Leonardo de Moura
ad219d43d9 refactor(*): semantic attachment parsing and simplification
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 14:44:45 -08:00
Leonardo de Moura
5224df56a3 test(tests/lean): add example showing how to 'sort' argumentes of AC operators using the simplifier
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 08:36:48 -08:00
Leonardo de Moura
913d893204 feat(library/simplifier): add support for 'permutation' rewrite rules
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 08:29:31 -08:00
Leonardo de Moura
69d7ee316f feat(library/simplifier): improve simplification by evaluation
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 23:26:34 -08:00
Leonardo de Moura
bcede6925f fix(tests/lean): add expected result file
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 16:31:35 -08:00
Leonardo de Moura
19f3c281c3 test(tests/lean): matrix multiplication example
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 16:29:32 -08:00
Leonardo de Moura
999984e701 fix(tests/lean): remove unnecessary theorems
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 12:55:33 -08:00
Leonardo de Moura
cc11b9e125 test(tests/lean): rewriting proof example
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 12:53:21 -08:00
Leonardo de Moura
d322f63113 feat(frontends/lea): add commands for creating and managing rewrite rule sets
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 12:03:59 -08:00
Leonardo de Moura
7a3aab60c6 chore(builtin/kernel): remove \bowtie as notation for transitivity
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-18 21:11:12 -08:00
Leonardo de Moura
feea96e84d feat(library/simplifier): add rewrite_rule_set extension for managing rewrite rules in an environment
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-18 15:43:24 -08:00
Leonardo de Moura
40b7ed13c2 fix(tests/lean): adjust tests
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-17 19:27:32 -08:00
Leonardo de Moura
fc4c6454a7 chore(tests/lean): adjust tests to reflect recent changes
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-17 14:36:55 -08:00
Leonardo de Moura
a43020b31b refactor(kernel): remove heterogeneous equality
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-16 17:39:12 -08:00
Leonardo de Moura
57e58c598c fix(tests/lean): adjust tests to reflect recent changes
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 16:35:33 -08:00
Leonardo de Moura
91e1f9fc02 fix(tests/lean): adjust test to reflect recent changes
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 10:20:35 -08:00
Leonardo de Moura
3ab2d2a441 fix(frontends/lean/parser): memory leak due to g++ bug
g++ implementation of std::initializer_list has bug.
http://gcc.gnu.org/ml/gcc-bugs/2013-06/msg00095.html

This commit memory leaks triggered by this bug.
It also adds minimal tests to expose three different instances of the problem.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 10:15:04 -08:00
Leonardo de Moura
ccb9faf065 refactor(*): error messages
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-13 16:54:21 -08:00
Leonardo de Moura
55aa4cbfa3 feat(frontends/lean): improve error message for expressions containing unsolved metavariables
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-13 13:21:44 -08:00
Leonardo de Moura
12451e4a35 feat(frontends/lean/pp): display implicit arguments when expression contains metavariables
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-13 12:42:05 -08:00
Leonardo de Moura
b85b45b40f test(tests/lean): When and Cond tactical tests
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-09 20:43:39 -08:00
Leonardo de Moura
65bdb9c7e0 fix(frontends/lean): unprotected call to Lua API
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-09 19:56:20 -08:00
Leonardo de Moura
a339a53f50 feat(util/options): 'verbose' as a system option, add -q (quiet) option
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-09 15:31:58 -08:00
Leonardo de Moura
2179e57db3 refactor(builtin): move if_then_else to its own module
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-09 14:08:39 -08:00
Leonardo de Moura
52e11dbbee test(tests/lean): 'using' command
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-09 12:21:14 -08:00
Leonardo de Moura
fdeb457a81 feat(kernel/pos_info_provider): add support for file names in pos_info_provider
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
84e211b81b fix(frontends/lean): missing ':' in error messages
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-09 11:19:58 -08:00
Leonardo de Moura
f7c7dd4ed4 feat(frontends/lean): include filename in error messages, use GNU error message style
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-09 11:01:27 -08:00
Leonardo de Moura
57c0006916 chore(*): cleanup lean builtin symbols, replace :: with _
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
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
a4b3d6d6c8 refactor(builtin/kernel): prove eta using function extensionality, and rename abst and abstpi to funext and allext
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 17:25:14 -08:00
Leonardo de Moura
a6e0dcc96c fix(builtin/cast): remove dominj axiom, it is not consistent with the new semantics of Pi/forall
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 16:19:11 -08:00
Leonardo de Moura
2b2aa228e3 refactor(builtin/kernel): start with small universes
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
abf61be8f6 chore(library/tactic): remove imp_tac, it is not needed anymore
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 00:57:04 -08:00
Leonardo de Moura
048151487e feat(kernel): use Pi as forall/implication
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
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 15:57:36 -08:00
Leonardo de Moura
d29d23cade test(tests/lean): alias command error
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 15:29:16 -08:00
Leonardo de Moura
9f4959fb64 test(tests/lean): kernel exception pp method
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 15:19:52 -08:00
Leonardo de Moura
0363faeec8 fix(frontends/lean/scanner): assertion violation, and add more tests
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 15:12:34 -08:00
Leonardo de Moura
29db6accb8 test(tests/lean): new tests for exercising the environment object
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
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
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 13:24:46 -08:00
Leonardo de Moura
0f1737d62c fix(frontends/lean): more precise position information for infix operators
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 13:19:26 -08:00
Leonardo de Moura
8f3c97ca98 test(tests/lean): standard induction
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 10:18:31 -08:00
Leonardo de Moura
abb9b8af83 fix(frontends/lean): bug in pop::context command, and add new tests for the universe command
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-06 17:14:07 -08:00
Leonardo de Moura
8c956280d9 chore(frontends/lean): rename setoption and setopaque commands to set::option and set::opaque
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-06 11:41:03 -08:00
Leonardo de Moura
7222a2d1a9 feat(builtin/kernel): use the same notation for mp, eq::mp and forall::elim
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-05 21:39:31 -08:00
Leonardo de Moura
935c2a03a3 feat(*): change name conventions for Lean builtin libraries
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'
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-05 13:06:36 -08:00
Leonardo de Moura
6569b07b7c feat(frontends/lean/parser): rename 'show' expression to 'have'
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-05 11:25:58 -08:00
Leonardo de Moura
0b4bdceb10 feat(builtin/macros): rename 'For' macro to 'take'
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-05 11:08:55 -08:00
Leonardo de Moura
9f08156a73 feat(frontends/lean/parser): combine Echo and Show commands into the 'print' command
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-05 11:03:35 -08:00
Leonardo de Moura
ce1213a020 feat(frontends/lean): use '(* ... *)' instead of '(** ... **)' for script code blocks
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-05 10:32:47 -08:00
Leonardo de Moura
028a9bd9bd feat(frontends/lean/scanner): use Lua style comments in Lean
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-05 08:53:27 -08:00
Leonardo de Moura
fbe0bccf51 chore(*): name convention, proof construnction functions/macros start with upper-case
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-03 18:11:01 -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
502d9f47ac test(tests/lean): new test full of holes
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 16:31:52 -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
430b75f38f test(tests/lean): add version of the Nat library full of holes
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 12:31:13 -08:00
Leonardo de Moura
e714bd7982 feat(frontends/lean): add syntax sugar for applying Subst in calculational proofs
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 11:23:55 -08:00
Leonardo de Moura
111949b9be feat(frontends/lean): calculational proofs
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 10:53:14 -08:00
Leonardo de Moura
b2a8f4118d feat(library/elaborator): process ho-match before normalizing
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-01 14:46:19 -08:00
Leonardo de Moura
7726ccad28 chore(builtin): rename nat, int and real modules to Nat, Int and Real.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-01 13:52:25 -08:00
Leonardo de Moura
d633622d90 feat(frontends/lean/parser): namespaces
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-01 12:28:18 -08:00
Leonardo de Moura
c423198a69 feat(builtin/kernel): add Not.*Elim theorems
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-01 11:35:21 -08:00
Leonardo de Moura
a8bc9fb4e0 refactor(builtin/kernel): mark exists as opaque after proving key theorems
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-01 11:00:32 -08:00
Leonardo de Moura
cbd1f98365 fix(library/elaborator): bug at method process_metavar_inst, add new test that exposed the bug
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-01 03:02:41 -08:00
Leonardo de Moura
cd3bbb1ebf fix(kernel/builtin): enforcing design decision: semantic attachments are NOT simplifiers, they should do only evaluation
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-31 10:14:17 -08:00
Leonardo de Moura
390a78a8d2 chore(frontends/lean/parser): remove 'Skipped' message
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-30 15:35:12 -08:00
Leonardo de Moura
08718e33dc refactor(builtin): only load the kernel and natural numbers by default
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-30 13:35:37 -08:00
Leonardo de Moura
ecd62a1783 refactor(builtin/basic): rename basic.lean to kernel.lean
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-30 11:46:03 -08:00
Leonardo de Moura
4401b390fe refactor(library/arith): do not load specialfn by default
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-30 11:25:43 -08:00
Leonardo de Moura
46a8300a2d refactor(library/arith): move real and special function declarations to .lean files
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-30 11:02:22 -08:00
Leonardo de Moura
c3bc6afb12 refactor(library/arith): move int and nat declarations to .lean files.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-30 10:32:14 -08:00
Leonardo de Moura
15621610e9 refactor(library/arith): replace Nat, Int, Real with simple variable decls instead of semantic attachments
This commit also fixes bugs in the Alias command.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-29 17:04:36 -08:00
Leonardo de Moura
a1a5fb101d feat(frontends/lean): add Alias command
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-29 16:25:45 -08:00
Leonardo de Moura
dfe46b9d25 refactor(kernel/builtin): move definition and axioms to basic.lean
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-29 14:01:30 -08:00
Leonardo de Moura
f8b82d854e feat(builtin/basic): add TypeM alias
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-29 13:03:32 -08:00
Leonardo de Moura
411ebbc3c1 refactor(library/basic_thms): move the proof of all basic theorems to a .Lean file
This commit also adds several new theorems that are useful for implementing the simplifier.
TODO: perhaps we should remove the declarations at basic_thms.h?

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-29 03:04:49 -08:00
Leonardo de Moura
41c1010043 feat(frontends/lean/parser): make Import command use binary Lean files
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-28 19:20:04 -08:00
Leonardo de Moura
1fd81dd3a1 feat(frontends/lean/parser): disable verbose messages when importing files
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-28 12:24:13 -08:00
Leonardo de Moura
44a31dd8fb feat(frontends/lean/parser): improve Import command
- The extension does not have to be provided.
- It can also import Lua files.
- Hierachical names can be used instead of strings.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-28 12:05:01 -08:00
Leonardo de Moura
8e86d6578c fix(tests/lean): adjust tests to reflect modifications in the pp
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-27 18:38:45 -08:00
Leonardo de Moura
3f0279b88c refactor(frontends/lua): replace lean.lua.h with util.lua
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-26 19:49:26 -08:00
Leonardo de Moura
275f022d79 fix(tests/lean): ignore lines containing 'executing external script' in test scripts, these lines contain references to the path where Lean was built
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-26 18:41:01 -08:00
Leonardo de Moura
f1b97b18b4 refactor(frontends/lean/parser): tactic macros, and tactic Lua bindings
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-26 15:54:53 -08:00
Leonardo de Moura
ef18cc4a92 fix(frontends/lean/parser): add existing command macros when creating parser object
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-26 13:38:14 -08:00
Leonardo de Moura
8e4560a866 feat(frontends/lean/parser): protect imported modules from Lua definitions and macros in the file importing the module
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-26 13:21:36 -08:00
Leonardo de Moura
ba02132a90 feat(frontends/lean/parser): add command macros
The idea is to allow users to define their own commands using Lua.
The builtin command Find is now written in Lua.
This commit also fixes a bug in the get_formatter() Lua API.
It also adds String arguments to macros.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-26 13:00:28 -08:00
Leonardo de Moura
480781d13e feat(frontends/lean/parser): provide environment as an argument to macros, allow macros to parse tactics
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-26 11:15:45 -08:00
Leonardo de Moura
3673f2ac1d feat(frontends/lean/parser): add Find command
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-25 18:31:52 -08:00
Leonardo de Moura
a3dde29f3c feat(frontends/lua/parser): allow users to specify the precedence of macros
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-25 12:27:56 -08:00
Leonardo de Moura
88235d2922 feat(library/tactic/apply_tactic): try other solutions produced by the elaborator
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-25 11:51:27 -08:00
Leonardo de Moura
8e45064f25 feat(library/tactic/apply_tactic): improved parametric apply_tactic
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-24 22:40:34 -08:00
Leonardo de Moura
c87e965f86 fix(tests/lean/tactic14.lean): typo
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-24 21:36:49 -08:00
Leonardo de Moura
cb95b14332 feat(library/tactic/apply_tactic): improve apply_tactic
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-24 14:23:06 -08:00
Leonardo de Moura
879ab6924a tests(test/lean): remove 'Importing...' message, the tests using the Import command fail when running on a different machine
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-24 12:26:53 -08:00
Leonardo de Moura
00e89190c2 refactor(library/cast): use .lean file instead of .cpp file to define casting library
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-23 22:04:19 -08:00
Leonardo de Moura
8c8cefcb0c feat(frontends/lean/parser): compact definitions
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-23 21:24:50 -08:00
Leonardo de Moura
5043cc75f6 fix(frontends/lean/parser): allow parenthesis in level expressions
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-23 13:31:55 -08:00
Leonardo de Moura
2c30b87f30 test(tests/lean): ExistsElim test
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-23 12:57:25 -08:00
Leonardo de Moura
baf99779dc feat(frontends/lean/frontend_elaborator): use is_convertible to minimize number of coercions
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-22 17:57:51 -08:00
Leonardo de Moura
65f7217935 fix(tests/lean/norm_tac): display implicit parameters to make sure output can be parsed
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-22 17:11:36 -08:00
Leonardo de Moura
3e32d9bef2 feat(library/tactic): add support for Pi's at to_proof_state
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-22 16:40:55 -08:00
Leonardo de Moura
104bd990e1 feat(library/tactic): add normalize_tac, eval_tac and trivial_tac
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-22 14:10:42 -08:00
Leonardo de Moura
4229e498d2 refactor(kernel/type_checker): combine type_checker and type_inferer into a single class, and avoid code duplication
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-22 11:51:38 -08:00
Leonardo de Moura
9128a437b8 refactor(library/cast): replace cast semantic attachment with axioms, add heterogeneous symmetry axiom
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-21 18:23:37 -08:00
Leonardo de Moura
df58eb132e feat(frontends/lean): simplify explicit version names
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-21 17:05:25 -08:00
Leonardo de Moura
36b2ec9abb fix(library/cast): bugs in Cast semantic attachment
TODO: revise cast semantic attachment.
It should be axioms instead of semantic attachments.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-21 16:16:54 -08:00
Leonardo de Moura
aebff0b4d3 fix(library/type_inferer): bug in get_range method
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-21 14:55:07 -08:00
Leonardo de Moura
55d46b2f88 test(tests/lean): add new normalizer/elaborator test
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-21 06:43:25 -08:00
Leonardo de Moura
9444c1f47f test(tests/lean): add example that cannot be elaborated
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-21 04:19:53 -08:00
Leonardo de Moura
fddcdb8f40 fix(library/elaborator): bug in process_lower
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-21 04:13:14 -08:00
Leonardo de Moura
66f106da8c test(tests/lean): new error msg test
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-21 03:20:04 -08:00
Leonardo de Moura
ce84fe5d33 feat(frontends/lean): improve error messages when elaborator cannot instantiate all metavariables
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-20 22:00:50 -08:00
Leonardo de Moura
bb81311e0a feat(frontends/lean/parser): include proof state in exception for tactic failure
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-20 17:15:12 -08:00
Leonardo de Moura
7772c16033 refactor(kernel): add unfold_opaque flag to normalizer, modify how type checker uses the opaque flag, remove hidden_defs, and mark most builtin definitions as opaque
After this commit, in the type checker, when checking convertability, we first compute a normal form without expanding opaque terms.
If the terms are convertible, then we are done, and saved a lot of time by not expanding unnecessary definitions.
If they are not, instead of throwing an error, we try again expanding the opaque terms.
This seems to be the best of both worlds.
The opaque flag is a hint for the type checker, but it would never prevent us from type checking  a valid term.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-20 12:47:47 -08:00
Leonardo de Moura
812c1a2960 feat(library/elaborator): only expand definitions that are not marked as hidden
The elaborator produces better proof terms. This is particularly important when we have to prove the remaining holes using tactics.
For example, in one of the tests, the elaborator was producing the sub-expression

 (λ x : N, if ((λ x::1 : N, if (P a x x::1) ⊥ ⊤) == (λ x : N, ⊤)) ⊥ ⊤)

After, this commit it produces

 (λ x : N, ¬ ∀ x::1 : N, ¬ P a x x::1)

The expressions above are definitionally equal, but the second is easier to work with.

Question: do we really need hidden definitions?
Perhaps, we can use only the opaque flag.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-20 02:16:49 -08:00
Leonardo de Moura
c77464703f feat(frontends/lean): macro definition using Lua
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-19 19:08:10 -08:00
Leonardo de Moura
b08c606696 fix(library/io_state): bug in the io_state Lua bindings
This commit also includes a new test that exposes the problem.
The options in the io_state object were being lost.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-19 16:39:42 -08:00
Leonardo de Moura
2648f41eaa test(tests/lean): add new test script that checks if Lean can parse the output produced by its pretty printer
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-19 16:16:56 -08:00
Leonardo de Moura
d9e692f506 feat(frontends/lean): improve coercion manangement
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-19 15:45:46 -08:00
Leonardo de Moura
f43db96e1f fix(frontends/lean/pp): pretty printer for Type
Add parenthesis around Type when it has a universe.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-19 15:24:45 -08:00
Leonardo de Moura
ae01d3818d fix(frontends/lean/parser): parse_type method
The parser had a nasty ambiguity. For example,
    f Type 1
had two possible interpretations
    (f (Type) (1))
or
    (f (Type 1))

To fix this issue, whenever we want to specify a particular universe, we have to precede 'Type' with a parenthesis.
Examples:
    (Type 1)
    (Type U)
    (Type M + 1)

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-19 15:24:34 -08:00
Leonardo de Moura
46627289b8 fix(kernel/expr): avoid '_' as a binder name, we use '_' as a placeholder in the Lean frontend
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-19 14:47:53 -08:00
Leonardo de Moura
d3d24696f4 feat(frontends/lean): hide builtin object in the 'Show Environment' command
The user can still display builtin objects by using

    Show Environment all

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-19 14:00:58 -08:00
Leonardo de Moura
ad3f771b1d feat(frontends/lean): hide 'explicit' version of objects with implicit arguments
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-19 13:12:39 -08:00
Leonardo de Moura
bff5a6bfb2 fix(frontends/lean/pp): make sure pp and parser are using the same precedences
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-19 12:46:14 -08:00
Leonardo de Moura
dd72269b13 feat(frontends/lean): rename command Set to SetOption
It is not nice to have Set as a reserved keyword. See example examples/lean/set.lean

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-18 21:18:48 -08:00
Leonardo de Moura
42cb5d1d3c fix(tests/lean): typo
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-18 20:11:49 -08:00
Leonardo de Moura
79fa6e4940 feat(frontends/lean): Scopes in the default Lean frontend
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-18 17:40:21 -08:00
Leonardo de Moura
2aaa9a5273 feat(frontends/lean/parser): change function application precedence
Now, we can write

  Pi (x y : A), R x y -> R y x

instead of

  Pi (x y : A), (R x y) -> (R y x)

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-18 12:44:15 -08:00
Leonardo de Moura
10f28c7bec feat(kernel/replace_fn): non-recursive replace_fn
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-17 16:35:39 -08:00
Leonardo de Moura
c53233ea26 fix(kernel/normalizer): avoid svalue hack, use 'semantic attachments' for implementing closures, include context in the closure
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-17 14:33:42 -08:00
Leonardo de Moura
09b51a0fb7 fix(library/elaborator): missing condition
The elaborator was missing solutions because of the missing condition at is_simple_ho_match.

This commit also adds a new test that exposes the problem.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-16 17:13:36 -08:00
Leonardo de Moura
5b29fd8d93 test(tests/lean): add ExistsElim test
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-16 15:43:09 -08:00
Leonardo de Moura
8f5c2b7d9f feat(library/basic_thms): add Refute theorem
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-16 12:03:31 -08:00
Leonardo de Moura
8f9405c8b3 fix(library/elaborator): tag meta_app constraints of the form 'ctx |- m?[inst:i v] t1 =:= t2' as expensive
This commits also adds a new unit test that demonstrates non-termination due to this kind of constraint.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-16 09:39:02 -08:00
Leonardo de Moura
2972fb9d8c test(tests/lean): new elaborator tests
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-15 22:00:26 -08:00
Leonardo de Moura
61bd27ff06 fix(library/elaborator): bug in simple_ho_match
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-15 21:48:55 -08:00
Leonardo de Moura
19ad39159e feat(library/basic_thms): add ForallIntro theorem
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-15 17:35:31 -08:00
Leonardo de Moura
82dfb553d5 feat(library/basic_thms): add ExistsIntro theorem
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-15 16:26:23 -08:00
Leonardo de Moura
993bea8206 refactor(library/elaborator): improve elaborator state data-structure
The "quota" hack used before this commit was inefficient, and too hackish.
This commit uses two lists of constraints: active and delayed.
The delayed constraints are only processed when there are no active constraints.
We use a simple index to quickly find which delayed constraints have assigned metavariables.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>

checkpoint

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-14 23:27:08 -08:00
Leonardo de Moura
3d30664611 feat(kernel/type_checker): provide the metavar_env to instantiate, it will minimize the number of local_entries needed
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-14 15:13:56 -08:00
Leonardo de Moura
4357c9196e feat(kernel/metavar): make sure that a metavariable 'm' can only be assigned to a term that contains free variables available in the context associated with 'm'
This commit also simplifies the method check_pi in the type_checker and type_inferer.
It also fixes process_meta_app in the elaborator.
The problem was in the method process_meta_app and process_meta_inst.
They were processing convertability constrains as equality constraints.
For example, process_meta_app would handle

    ctx |- Type << ?f b

as

    ctx |- Type =:= ?f b

This is not correct because a ?f that returns (Type U) for b satisfies the first but not the second.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-14 12:25:00 -08:00
Leonardo de Moura
bbaa83e16a feat(frontends/lean): implement relaxed operator compatibility in the parser
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-10 15:42:43 -08:00
Leonardo de Moura
6b1b6c7bd1 feat(tests/lean): include standard error in the expected output
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-10 12:52:57 -08:00
Leonardo de Moura
90f88acf42 feat(frontends/lean): relax compatible_denotation predicate
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-10 12:42:29 -08:00
Leonardo de Moura
abe2cf2fb5 feat(frontends/lean): simplify how implicit parameters are marked
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-10 12:11:04 -08:00
Leonardo de Moura
78ec4b152b feat(frontends/lean): relax restricitions on parsing applications of functions containing implicit arguments
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-10 09:48:24 -08:00
Leonardo de Moura
0cd8e3e76b feat(split-stack): add support for split-stacks (no more stackoverflows)
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-09 22:30:54 -08:00
Leonardo de Moura
0eaa98221b fix(shell/lean): Lua repl missing, incorrect exit code in interactive mode, missing tests
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-09 12:25:19 -08:00
Leonardo de Moura
68c2e5cc7d fix(frontends/lean/parser): reachable code
The new test nbug1.lean exposes the problem.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-08 15:22:21 -08:00
Leonardo de Moura
04b67f8b14 refactor(kernel/object): remove 'null' object, and operator bool for kernel objects
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-08 14:37:38 -08:00
Leonardo de Moura
1ff6013594 fix(frontends/lean/frontend_elaborator): must elaborate type attached to placeholder, it may also contain holes
The test tactic14.lean exposes the problem.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-07 15:37:59 -08:00
Leonardo de Moura
e2999d3ff6 feat(*): add component name to check_stack and check_system
I also reduced the stack size to 8 Mb in the tests at tests/lean and tests/lean/slow. The idea is to simulate stackoverflow conditions.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-07 15:11:55 -08:00
Leonardo de Moura
33b72f1dd0 feat(frontends/lean/parser): apply type inference elaborator to fill remaining metavariables/holes (these are holes produced by tactics such as apply_tac)
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-07 13:09:39 -08:00
Leonardo de Moura
a75d05fdb4 fix(tests/lean/interactive): test driver (to avoid discrepancy between Win and Linux version)
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-06 17:03:12 -08:00
Leonardo de Moura
daadff548e fix(tests/lean): update expected result to reflect recent changes
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-06 16:31:13 -08:00
Leonardo de Moura
015bff8283 fix(library/tactic/goal): to_goal way of handling context_entries of the form (name, domain, body) where domain is null, and body is a proof term
This commit fixes a problem exposed by t13.lean.
It has a theorem of the form:

Theorem T1 (A B : Bool) : A /\ B -> B /\ A :=
     fun assumption : A /\ B,
          let lemma1 := (show A by auto),
              lemma2 := (show B by auto)
          in (show B /\ A by auto)

When to_goal creates a goal for the metavariable associated with (show B /\ A by auto) it receives a context and proposition of the form

 [ A : Bool, B : Bool, assumption : A /\ B, lemma1 := Conjunct1 assumption, lemma2 := Conjunct2 assumption ] |- B /\ A

The context_entries "lemma1 := Conjunct1 assumption" and "lemma2 := Conjunct2 assumption" do not have a domain (aka type).
Before this commit, to_goal would simply replace and references to "lemma1" and "lemma2" in "B /\ A" with their definitions.
Note that, "B /\ A" does not contain references to "lemma1" and "lemma2". Then, the following goal is created
     A : Bool, B : Bool, assumption : A /\ B |- B /\ A
That is, the lemmas are not available when solving B /\ A.
Thus, the tactic auto produced the following (weird) proof for T1, where the lemmas are computed but not used.

    Theorem T1 (A B : Bool) (assumption : A ∧ B) : B ∧ A :=
            let lemma1 := Conjunct1 assumption,
                lemma2 := Conjunct2 assumption
            in Conj (Conjunct2 assumption) (Conjunct1 assumption)

This commit fixed that. It computes the types of "Conjunct1 assumption" and "Conjunct2 assumption", and creates the goal
     A : Bool, B : Bool, assumption : A /\ B, lemma1 : A, lemma2 : B |- B /\ A

After this commit, the proof for theorem T1 is

Theorem T1 (A B : Bool) (assumption : A ∧ B) : B ∧ A :=
    let lemma1 := Conjunct1 assumption,
        lemma2 := Conjunct2 assumption
    in Conj lemma2 lemma1

as expected.

Finally, this example suggests that the encoding

Theorem T1 (A B : Bool) : A /\ B -> B /\ A :=
     fun assumption : A /\ B,
          let lemma1 : A := (by auto),
              lemma2 : B := (by auto)
          in (show B /\ A by auto)

is more efficient than

Theorem T1 (A B : Bool) : A /\ B -> B /\ A :=
     fun assumption : A /\ B,
          let lemma1 := (show A by auto),
              lemma2 := (show B by auto)
          in (show B /\ A by auto)

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-06 16:14:25 -08:00
Leonardo de Moura
0390f3c39b feat(library/tactic/boolean_tactics): avoid unnecessary Let expression in proof terms
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-06 15:01:54 -08:00
Leonardo de Moura
1df9d18891 feat(frontends/lean): allow 'tactic hints' to be associated with 'holes'
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-06 14:49:39 -08:00
Leonardo de Moura
2ddcc32c1d fix(frontends/lean/notation): change the precedence of '->'
It should match the precedence of the implication '=>'.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-06 13:23:24 -08:00
Leonardo de Moura
fa03ae2a26 fix(library/elaborator): strength elaborator procedure for handling equality and convertability constraints
This commit improves the condition for showing that an equality(and convertability) constraint cannot be solved. A nice consequence is that Lean produces nicer error messages. For example, the error message for unit test elab1.lean is more informative.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-06 13:04:34 -08:00
Leonardo de Moura
d46cf5fdd5 fix(frontends/lean/parser): display failed state in noninteractive mode, stop processing tactic commands when a Lean command is found
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-06 05:13:29 -08:00
Leonardo de Moura
13f9454fe1 feat(library/tactic/proof_state): add option tactic::proof_state::goal_names
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-05 21:18:22 -08:00
Leonardo de Moura
e6fb6f7d1e feat(frontends/lean/parser): add assumption command, and allow Lean expressions (proof terms) to be used with apply tactic command
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-05 20:08:51 -08:00
Leonardo de Moura
0c059a9917 feat(library/tactic): use _tac suffix instead of _tactic like Isabelle
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-05 20:06:32 -08:00
Leonardo de Moura
1b176204b4 feat(frontends/lean/parser): allow the user to use a theorem/axiom name as an argument for the apply tactic command
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-05 19:03:12 -08:00
Leonardo de Moura
e1d44eec6b fix(frontends/lean/parser): bug in parse_tactic
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-05 17:40:55 -08:00
Leonardo de Moura
a564795fe6 fix(frontends/lean/parser): remove unnecessary '#' after error
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-05 17:27:08 -08:00
Leonardo de Moura
74a8b5f2f4 test(tests/lean/interactive): add back command test
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-05 17:19:53 -08:00
Leonardo de Moura
e069ce640b feat(frontends/lean/parser): add tactic abort command
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-05 17:15:19 -08:00
Leonardo de Moura
34654ad06b feat(tests/lean/interactive): add interactive mode test script
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-05 16:56:20 -08:00
Leonardo de Moura
e3848d43a2 feat(frontends/lean): improve tactic command parsing in interactive mode
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-05 16:28:08 -08:00
Leonardo de Moura
fa98c1358f feat(library/tactic): add disj_tactic
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-05 04:49:06 -08:00
Leonardo de Moura
029ef57abd feat(library/tactic): add apply_tactic
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-05 03:22:12 -08:00
Leonardo de Moura
e60e20a11d feat(frontends/lean): add Exit command
Remark: on Windows, Ctrl-D does not seem to work.
So, this commit also changes the Lean startup message.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-04 10:40:22 -08:00
Leonardo de Moura
dd62af1641 feat(frontends/parser): simplified theorem definition using tactical proof
When using tactics for proving theorems, a common pattern is

     Theorem T : <proposition> := _.
          apply <tactic>.
          ...
          done.

This commit allows the user to write the simplified form:

     Theorem T : <proposition>.
          apply <tactic>.
          ...
          done.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-02 08:20:18 -08:00
Leonardo de Moura
25978118df feat(library/tactic): add beta-reduction tactic
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-02 08:10:51 -08:00
Leonardo de Moura
1ec8f9d536 feat(kernel): add abstraction (aka function extensionality) axiom
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-01 13:57:14 -08:00
Leonardo de Moura
09f98ecddc feat(library/tactic): add unfold_tactic() that unfolds every non-hidden definition
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-01 10:41:05 -08:00
Leonardo de Moura
ca53a5a1cc feat(library/tactic): add unfold tactic
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-01 08:51:56 -08:00
Leonardo de Moura
f91c4901e8 feat(library/tactic): add absurd_tactic
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-01 07:55:00 -08:00
Leonardo de Moura
bf2adb20e7 feat(library/tactic): add disj_hyp_tactic
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-01 07:55:00 -08:00
Leonardo de Moura
1a221d8bbe feat(library/tactic): add focus tactical
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-11-30 11:28:38 -08:00
Leonardo de Moura
98897b467d feat(frontends/lean/parser): add support for Lua expression code blocks
In expression code blocks, we do not have to write a "return".
After this commit, the argument of an apply command is a Lua expression instead of a Lua block of code. That is, we can now write

apply (** REPEAT(ORELSE(imp_tactic, conj_tactic, conj_hyp_tactic, assumption_tactic)) **)

instead of

apply (** return REPEAT(ORELSE(imp_tactic, conj_tactic, conj_hyp_tactic, assumption_tactic)) **)

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-11-29 10:21:24 -08:00
Leonardo de Moura
f9874cd675 feat(library/tactic): add to_tactic_ext, it allows functions that return tactics to be used where a tactic is expected
For example, after this commit, we can write

simple_tac = REPEAT(ORELSE(imp_tactic, conj_tactic)) .. assumption_tactic

instead of

simple_tac = REPEAT(ORELSE(imp_tactic(), conj_tactic())) .. assumption_tactic()

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-11-29 09:40:21 -08:00
Leonardo de Moura
20a36e98ec feat(library/elaborator): modify how elaborator handles constraints of the form ?M << P and P << ?M, where P is a proposition.
Before this commit, the elaborator would only assign ?M <- P, if P was normalized. This is bad since normalization may "destroy" the structure of P.

For example, consider the constraint
[a : Bool; b : Bool; c : Bool] ⊢ ?M::1 ≺ implies a (implies b (and a b))

Before this, ?M::1 will not be assigned to the "implies-term" because the "implies-term" is not normalized yet.
So, the elaborator would continue to process the constraint, and convert it into:

[a : Bool; b : Bool; c : Bool] ⊢ ?M::1 ≺ if Bool a (if Bool b (if Bool (if Bool a (if Bool b false true) true) false true) true) true

Now, ?M::1 is assigned to the term
     if Bool a (if Bool b (if Bool (if Bool a (if Bool b false true) true) false true) true) true

This is bad, since the original structure was lost.

This commit also contains an example that only works after the commit is applied.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-11-29 09:15:01 -08:00
Leonardo de Moura
b3f87e2e4f feat(library/tactic): make THEN, ORELSE, APPEND, PAR and INTERLEAVE nary combinators
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-11-28 22:11:07 -08:00
Leonardo de Moura
5dfb3b8b56 feat(frontends/lean/parse): allow script-code blocks to be used in the apply command
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-11-28 21:48:30 -08:00
Leonardo de Moura
c6b05bcfcb feat(library/tactic): modify assumption_tactic, it should fail if not applicable, and TRY tactical
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-11-28 18:23:38 -08:00
Leonardo de Moura
e3f3ec5553 feat(library/tactic): expose conj_tactic, imp_tactic, conj_hyp_tactic in the Lua API
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-11-28 18:17:15 -08:00
Leonardo de Moura
d87ad9eb7e refactor(util/lua): propagate C++ Lean exceptions in Lua
The following call sequence is possible:
C++ -> Lua -> C++ -> Lua -> C++

The first block of C++ is the Lean main function.
The main function invokes the Lua interpreter.
The Lua interpreter invokes a C++ Lean API.
Then the Lean API invokes a callback implemented in Lua.
The Lua callback invokes another Lean API.
Now, suppose the Lean API throws an exception.
We want the C++ exception to propagate over the mixed C++/Lua call stack.
We use the clone/rethrow exception idiom to achieve this goal.

Before this commit, the C++ exceptions were converted into strings
using the method what(), and then they were propagated over the Lua
stack using lua_error. A lua_error was then converted into a lua_exception when going back to C++.
This solution was very unsatisfactory, since all C++ exceptions were being converted into a lua_exception, and consequently the structure of the exception was being lost.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-11-27 12:25:29 -08:00
Leonardo de Moura
99a811a586 feat(bindings/lua): expose io_state object in the Lua API
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-11-26 12:54:47 -08:00
Leonardo de Moura
87775cbc07 chore(build): include incorrect output in the logs
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-11-18 15:39:55 -08:00
Soonho Kong
20756c382c test(*): split leantests, leanslowtests, leanluatests, leanluadocs into singletons 2013-11-18 18:27:11 -05:00
Leonardo de Moura
69be5f6c94 feat(kernel/environment): track which modules were already imported
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-11-17 18:15:44 -08:00
Leonardo de Moura
590b14570f feat(lua): improve error handling in Lua API
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-11-16 18:21:42 -08:00
Leonardo de Moura
390f7eaec8 test(kernel/typechecker): type checker
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-11-16 15:01:39 -08:00
Leonardo de Moura
9398ea5a59 feat(util/shared_mutex): add support for recursive lock at shared_mutex
We need support for recursive locks. The main user of this class is
the environment object. This commit adds a test that demonstrates that
the shared_lock of the environment object may be recursively requested.
Before this fix, the Lean was deadlocking in this example.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-11-15 22:01:11 -08:00
Leonardo de Moura
209a2d10f7 fix(lua): replace std::mutex with std::recursive_mutex, add test that demonstrates the problem that is being fixed
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-11-15 21:26:16 -08:00
Leonardo de Moura
8525e8534b feat(lua): expose parse_expr and parse_commands from frontends/lean in the Lua API
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-11-15 16:11:26 -08:00
Leonardo de Moura
45858d54ae test(frontends/lean): add missing expected output
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-11-14 15:51:47 -08:00