michael/lean2
1
0
Fork 0
Code Issues Pull requests Projects Releases Packages Wiki Activity Actions
2609 commits 3 branches 0 tags 28 MiB
Commit graph

262 commits

Author SHA1 Message Date
Leonardo de Moura
9f4bae6856 feat(library/kernel_bindings): add hott_environment Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-21 11:49:30 -07:00
Leonardo de Moura
4d1fecb21d refactor(library/kernel_bindings): rename empty_environment ==> bare_environment in the Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-21 11:24:24 -07:00
Leonardo de Moura
f08a852da8 feat(library/kernel_bindings): expose environment::add(declaration) method in the Lua API, and add example to demonstrate its usage 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-21 11:12:55 -07:00
Leonardo de Moura
3726688711 test(lua): add test to demonstrate the different between list(A) where A is a parameter, and where A is an index 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-20 12:17:16 -07:00
Leonardo de Moura
11fc917102 test(lua): add tests for improving kernel_bindings coverage 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-20 12:16:12 -07:00
Leonardo de Moura
c5e8c10c9d fix(library/normalize): bug in normalize 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-20 11:53:58 -07:00
Leonardo de Moura
fae07771ec test(lua): add more universe level expression tests 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-20 11:41:17 -07:00
Leonardo de Moura
8872d4a531 refactor(kernel): rename definition class to declaration 
The name was misleading since not every declaration is a definition.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-20 10:41:38 -07:00
Leonardo de Moura
00b1a84051 feat(library/kernel_bindings): expose environment::for_each method in the Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-20 10:16:19 -07:00
Leonardo de Moura
9e55c8766f test(lua): add normalize and type_check tests for terms containing metavariables 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-20 09:56:27 -07:00
Leonardo de Moura
ddccca529a test(lua): add test for mutually recursive inductive type recursor/eliminator 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-20 09:41:50 -07:00
Leonardo de Moura
eb6807e1d3 test(lua): add another add_inductive example 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-19 17:48:35 -07:00
Leonardo de Moura
4f15240a71 test(lua): add tests for new Pi/Fun notation in Lua 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-19 17:17:15 -07:00
Leonardo de Moura
a72be5eea4 test(lua): add example suggested by Cody 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-19 17:06:19 -07:00
Leonardo de Moura
3e3d3c8380 feat(kernel/inductive): check in add_inductive whether the environment supports inductive datatypes or not 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-19 15:44:15 -07:00
Leonardo de Moura
a7aacaa782 feat(library/kernel_bindings): improve list_level support in the Lua interface 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-19 15:18:48 -07:00
Leonardo de Moura
48b436c1c8 test(lua): add Martin-lof identity type test 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-19 13:42:49 -07:00
Leonardo de Moura
f3ed20a229 feat(kernel/inductive): add normalizer extension for inductive datatypes, add procedure for creating an standard (empty) Lean environment 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-19 12:52:25 -07:00
Leonardo de Moura
2aacb769dd feat(kernel/inductive): generate computational rules RHS for inductive datatypes 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-19 09:08:19 -07:00
Leonardo de Moura
28b70b4e04 feat(kernel/inductive): use nondependent elimination when the datatype is in Bool/Prop 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-18 15:39:48 -07:00
Leonardo de Moura
45252e2229 feat(kernel/inductive): add eliminator/recursor for inductive datatype declarations 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-18 14:17:57 -07:00
Leonardo de Moura
f53254b389 test(lua): fix n6.lua, and add more tests 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-18 13:52:16 -07:00
Leonardo de Moura
405b24861c feat(util/name): add methods append_after and append_before 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-18 13:49:24 -07:00
Leonardo de Moura
fcf94ad7c2 test(lua): add test for inductive datatype positivity check 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-17 20:12:55 -07:00
Leonardo de Moura
950d69b977 test(lua): add tests for exercising datatype validation code 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-17 20:10:45 -07:00
Leonardo de Moura
b5d07bec2e test(lua): add some comments to inductive datatype test 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-17 19:30:43 -07:00
Leonardo de Moura
8fcb84c8f2 feat(kernel/inductive): finish inductive datatype declaration validation 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-17 19:19:32 -07:00
Leonardo de Moura
d03e35aaac feat(kernel/inductive): add datatype and introduction rules declarations to environment, and fix tests 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-17 13:59:06 -07:00
Leonardo de Moura
53e02a902c test(lua): add is_geq (for universe level) tests 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-17 13:42:12 -07:00
Leonardo de Moura
a85a6b685b feat(kernel/formatter): add binding_body_fresh, let_body_fresh, and simplify formatter 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-17 12:30:03 -07:00
Leonardo de Moura
5ce134e24e chore(kernel): binder => binding where appropriate 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-17 11:37:27 -07:00
Leonardo de Moura
989bcdc7ad test(lua): add inductive datatype simple tests 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-17 09:25:03 -07:00
Leonardo de Moura
4ec89e8561 feat(library/kernel_bindings): add sugar for level expressions in the Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-17 08:10:36 -07:00
Leonardo de Moura
755fac8114 test(lua): add test simulating HoTT compatible environment 
Type.{0} is predicative
   Type.{0} is proof relevant
   Id       is proof irrelevant
   Path     is proof relevant

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-16 15:32:01 -07:00
Leonardo de Moura
69e72c278d feat(kernel): add proof irrelevance for classes 
We can use this feature to implement proof irrelevance for Identity types.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-16 15:30:32 -07:00
Leonardo de Moura
193aa4a83f feat(library/kernel_bindings): improve Pi and Fun Lua APIs, and allow users to provide binder information 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-16 14:09:00 -07:00
Leonardo de Moura
40b3129e7b refactor(kernel): improve names 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-16 11:28:05 -07:00
Leonardo de Moura
924b2344af fix(lua/res1): make sure the test works with Lua 5.1 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-15 14:47:42 -07:00
Leonardo de Moura
da31e60b02 test(lua): add more tests for type checker 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-15 14:17:58 -07:00
Leonardo de Moura
90c4957071 test(lua): add tests for resolve macro 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-15 13:53:11 -07:00
Leonardo de Moura
7c0cc3111a fix(kernel/type_checker): we must use different caches for infer_type and check 
The new test tc4.lua exposes the problem being fixed.
We need separate caches otherwise we may mistakenly assume that an expression was already checked by the type checker, while only its type was inferred.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-15 13:53:11 -07:00
Leonardo de Moura
6e78256b87 feat(library/kernel_bindings): expose is_bi_equal predicate in the Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-14 17:24:49 -07:00
Leonardo de Moura
606e6226c2 fix(kernel/type_checker): the type checker cache was not taking into account binder information 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-14 17:14:57 -07:00
Leonardo de Moura
2e1a0bd50c feat(kernel/expr): add is_contextual binder info 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-14 14:54:27 -07:00
Leonardo de Moura
52d682b832 test(lua): unit tests for let expressions 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-14 14:29:44 -07:00
Leonardo de Moura
e57b943adf test(lua): add constraint generation test when type checking with metavars 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-14 11:06:48 -07:00
Leonardo de Moura
eea561c74b test(lua): add more expr API unit tests 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-13 09:20:25 -07:00
Leonardo de Moura
cfa9520655 test(lua): add more level API unit tests 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-13 09:20:10 -07:00
Leonardo de Moura
9ed700a5a6 feat(kernel/environment): add forget method 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-13 08:40:46 -07:00
Leonardo de Moura
7b15e558a2 refactor(kernel/converter): implement eta in whnf instead of is_def_eq. 
Without cumulativity, we do not have problems with Eta at whnf anymore.
When we had cumulativity, we could not not simply reduce
     (fun x : A, f x) ==> f
This step is correct only if domain(f) was definitionally equal to f.
Here is a problematic example for systems with cumulativity
Given, f : Type.{2} -> Bool
     (fun x : Type.{1}, f x)

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-12 17:49:53 -07:00
Leonardo de Moura
c883c638d6 feat(library/kernel_bindings): expose expression tags in the Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-12 16:50:43 -07:00
Leonardo de Moura
20947de2f1 test(lua): add replace method test 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-12 15:51:22 -07:00
Leonardo de Moura
9f86aa73c8 test(lua): add basic universe level tests 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-12 14:51:18 -07:00
Leonardo de Moura
ff9004dae2 refactor(kernel): add level normalizer, is_equivalent predicate, switch to is_equivalent in the type checker, fix bugs in is_lt predicate 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-11 18:05:02 -07:00
Leonardo de Moura
9d96f24766 refactor(kernel): remove convertability constraints 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-09 20:25:27 -07:00
Leonardo de Moura
7b6d555433 refactor(kernel): remove level constraints from definitions 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-09 20:11:50 -07:00
Leonardo de Moura
a650a4f9b5 fix(library/kernel_bindings): bug in mk_app, add expr_lt tests 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-09 19:54:52 -07:00
Leonardo de Moura
21e3e22017 test(lua/threads): re-activate Lua thread examples 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-08 18:52:15 -07:00
Leonardo de Moura
129d108d0b test(lua): add example for testing is_descendant 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-08 18:50:24 -07:00
Leonardo de Moura
c843243f64 feat(library/kernel_bindings): add add_decl and type_check functions to Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-08 18:08:32 -07:00
Leonardo de Moura
5a7f181efc feat(util/name_set): improve name_set Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-08 17:17:00 -07:00
Leonardo de Moura
f3c7bc948a feat(library/kernel_bindings): type_checker Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-07 19:04:15 -07:00
Leonardo de Moura
1a8d75c4f0 feat(util): name_set Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-07 18:32:53 -07:00
Leonardo de Moura
7fe61bc69c feat(util): name_generator Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-07 17:28:11 -07:00
Leonardo de Moura
62db010ba3 feat(library/kernel_bindings): add optional arguments to empty_environment Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-07 17:06:27 -07:00
Leonardo de Moura
4c5f88e63b feat(library/kernel_bindings): global level constructor/accessor/recognizer 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-07 16:22:45 -07:00
Leonardo de Moura
8ae0e46e9d feat(library/kernel_bindings): add new global level methods to environment Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-07 16:17:04 -07:00
Leonardo de Moura
9bf83390dc test(lua): add definition API tests 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-02 17:01:22 -07:00
Leonardo de Moura
dc627c9965 test(lua): add constraint API tests, and fix minor bugs 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-02 13:37:46 -07:00
Leonardo de Moura
7b4b862faa test(lua): add justification API tests 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-02 12:16:24 -07:00
Leonardo de Moura
340c0e0945 feat(library/kernel_bindings): substitution Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-01 15:30:30 -07:00
Leonardo de Moura
305815cb56 feat(library/kernel_bindings): expose expr_binder_info in the Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-01 11:23:37 -07:00
Leonardo de Moura
97e7e4e762 test(lua): remove obsolete test 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-04-29 17:08:50 -07:00
Leonardo de Moura
fd034521dc feat(library/kernel_bindings): cleanup level Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-04-29 17:05:25 -07:00
Leonardo de Moura
93a61748e9 fix(kernel/level): bug in optional<level>() constructor 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-04-29 17:00:57 -07:00
Leonardo de Moura
984048f40d feat(library/kernel_bindings): new level Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-04-29 15:08:58 -07:00
Leonardo de Moura
a6116e3156 test(lua): reactivate some of the Lua unit tests 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-04-29 10:36:57 -07:00
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
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
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
dd6aae378f fix(library/simplifier): must use metavar_env in is_ceq, otherwise it may ceqs that contain metavariables 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-29 13:29:20 -08:00
Leonardo de Moura
92ba4e8b2d feat(library/simplifier): add support for metavariables in conditional rewrite rules 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-29 08:34:04 -08:00
Leonardo de Moura
1ef75a9ba6 test(tests/lua): add test/example that demonstrates how to collect statistics of used theorems 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-20 18:04:22 -08:00
Leonardo de Moura
6bcd8e3ee5 fix(library/expr_lt): use expression depth instead of size to obtain a monotonic total order on terms 
It is not incorrect to use size, but it can easily overflow due to sharing.
The following script demonstrates the problem:

local f = Const("f")
local a = Const("a")
function mk_shared(d)
   if d == 0 then
      return a
   else
      local c = mk_shared(d-1)
      return f(c, c)
   end
end
print(mk_shared(33):size())

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-20 17:40:49 -08:00
Leonardo de Moura
ac9f8f340d feat(kernel/expr): add efficient get_size() function for expressions 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-20 12:28:37 -08:00
Leonardo de Moura
bbf6e6a256 feat(builtin/kernel): create default rule set in the kernel, and adjust unit tests 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-19 11:24:20 -08:00
Leonardo de Moura
7492fd5a2c feat(library/simplifier): add support for simplification by evaluation 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-19 10:34:55 -08:00
Leonardo de Moura
11719713ec feat(library/hop_match): optionally unfold constants when performing higher order matching 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-19 10:32:06 -08:00
Leonardo de Moura
39c3b17eb7 feat(library/simplifier): add support for Eta-reduction in the simplifier 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-19 00:40:35 -08:00
Leonardo de Moura
ed009f4c88 feat(kernel/simplifier): add support for Beta-reduction in the simplifier 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-19 00:40:20 -08:00
Leonardo de Moura
32c5bc25e3 refactor(library/simplifier): cleanup rewrite_rule_set, and use it in the simplifier 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-18 20:52:33 -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
5453a8f2f1 test(tests/lua): hop_match experiment 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-16 00:15:31 -08:00
Leonardo de Moura
3238c7e2a0 feat(library/simplifier): add is_permutation_ceq predicate 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-15 19:53:52 -08:00
Leonardo de Moura
2368c936d3 test(tests/lua): exercise fields method for semantic attachments 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-15 17:24:18 -08:00
Leonardo de Moura
c73398a0b8 refactor(library/simplifier): relax rule for conditional equalities 
The idea is to support conditional equations where the left-hand-side does not contain all theorem arguments, but the missing arguments can be inferred using type inference.
For example, we will be able to have the eta theorem as rewrite rule:

theorem eta {A : TypeU} {B : A → TypeU} (f : ∀ x : A, B x) : (λ x : A, f x) = f
:= funext (λ x : A, refl (f x))

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-15 16:06:00 -08:00
Leonardo de Moura
3daac17ea8 feat(library/simplifier): convert disequalities (a ≠ b) into equations '(a = b) = false' 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-15 15:30:16 -08:00
Leonardo de Moura
f67b5c4d00 test(tests/lua): more to_ceqs tests 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-15 13:50:35 -08:00
Leonardo de Moura
c651d3ea2d feat(library/simplifier): filter out propositions that cannot be used as conditional equations 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-15 12:06:27 -08:00
Leonardo de Moura
94fa987814 fix(kernel/type_checker): is_proposition method was still assuming that a Pi never has type Bool 
The method is_proposition was using an optimization that became incorrect after  we identified Pi and forall.
It was assuming that any Pi expression is not a proposition.
This is not true anymore. Now, (Pi x : A, B) is a proposition if B is a proposition.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-15 11:02:52 -08:00