Commit graph

360 commits

Author SHA1 Message Date
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