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Author SHA1 Message Date
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