Commit graph

512 commits

Author SHA1 Message Date
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