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44 commits

Author SHA1 Message Date
Leonardo de Moura
097b10e424 refactor(kernel/builtin): move builtin declarations to basic 
There is a lot to be done. We should do the same for Nat, Int and Real.
We also should cleanup the file builtin.cpp and builtin.h.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-29 22:00:03 -08:00
Leonardo de Moura
14c3e11289 refactor(kernel/builtin): emove mk_bin_rop and mk_bin_lop to library 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-29 15:23:18 -08:00
Leonardo de Moura
1b300d3598 chore(kernel/builtin): remove unnecessary functions 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-29 12:55:51 -08:00
Leonardo de Moura
df3686634d refactor(kernel/builtin): remove unnecessary predicates 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-29 12:20:29 -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
8cf65f354b fix(frontends/lean/pp): forall and exists pretty printing when used as constants 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-27 12:50:41 -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
f97c260b0b refactor(kernel/environment): add ro_environment 
The environment object is a "smart-pointer".
Before this commit, the use of "const &" for environment objects was broken.
For example, suppose we have a function f that should not modify the input environment.
Before this commit, its signature would be
       void f(environment const & env)
This is broken, f's implementation can easilty convert it to a read-write pointer by using
the copy constructor.
       environment rw_env(env);
Now, f can use rw_env to update env.

To fix this issue, we now have ro_environment. It is a shared *const* pointer.
We can convert an environment into a ro_environment, but not the other way around.

ro_environment can also be seen as a form of documentation.
For example, now it is clear that type_inferer is not updating the environment, since its constructor takes a ro_environment.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-12 16:48:34 -08:00
Leonardo de Moura
8f2fe273ea refactor(*): isolate std::thread dependency 
This commit allows us to build Lean without the pthread dependency.
It is also useful if we want to implement multi-threading on top of Boost.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-09 15:20:26 -08:00
Leonardo de Moura
1ec8f9d536 feat(kernel): add abstraction (aka function extensionality) axiom 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-01 13:57:14 -08:00
Leonardo de Moura
a9eb2a9307 feat(kernel/builtin): add is_* functions 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-29 11:35:58 -08:00
Leonardo de Moura
b41789d085 feat(kernel): add is_bool predicate 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-26 11:34:50 -08:00
Leonardo de Moura
7fc87faa8f feat(kernel): heterogeneous transitivity axiom, we need this axiom to be able to generate modular proofs in the rewriting engine module 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-10-29 17:07:30 -07:00
Soonho Kong
bc60b47295 Apply coding style 2013-09-13 18:48:09 -07:00
Leonardo de Moura
bcc3827a99 Modify Doxygen file to extract all elements even the undocumented ones. Disable warnings for undocumented entities. Add extra comments. 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-09-13 13:46:22 -07:00
Leonardo de Moura
0c09e4524a Use consistent names for import functions, and library files. 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-09-13 08:58:34 -07:00
Soonho Kong
5c3866cd71 Use fullpath in #include directives, add missing STL headers 2013-09-13 03:35:29 -07:00
Leonardo de Moura
bab11b57ad Move Symm and Trans back to basic_thms.cpp 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-09-06 23:49:35 -07:00
Leonardo de Moura
c674bb3790 Add castlib as an independent library 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-09-06 23:40:47 -07:00
Leonardo de Moura
b92bbeb83b Add casting propagation and normalization 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-09-06 20:45:26 -07:00
Leonardo de Moura
c0c2f52087 Add Cast, DomInj and RanInj. Improve operator << for lean_frontend objects. 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-09-06 18:32:15 -07:00
Leonardo de Moura
0a67679afb Add natural numbers. Fix how coercions and overloads interact (switch to approach used in C++). Add notation for natural and integer arithmetic. Rename m and u universe variables to M and U. 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-09-02 12:24:29 -07:00
Leonardo de Moura
990f428a81 Remove virtual method kind from value class and subclasses. We can use dynamic_cast to achieve the same goal 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-09-02 09:35:10 -07:00
Leonardo de Moura
81d0203ee0 Replace macros TypeM, TypeU, Int, Bool, True and False with constant global expressions. The macros were producing counterintuitive behavior. For example, we had an enumeration type with an element called Int. 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-09-02 09:11:53 -07:00
Leonardo de Moura
4ef4655183 Add homogeneous equality 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-30 14:26:12 -07:00
Leonardo de Moura
afd62ced87 Add parse_let 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-18 15:25:20 -07:00
Leonardo de Moura
abab4b667a Define implies using ite operator. Rename mk_bin_op to mk_bin_rop (it is using right associativity). Add mk_bin_lop (for left assoc). 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-16 09:04:59 -07:00
Leonardo de Moura
5395ced0e5 Improve comments 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-15 19:02:28 -07:00
Leonardo de Moura
2d4caa7450 Mark 'implicit' parameters, and move them to the beginning 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-07 21:53:19 -07:00
Leonardo de Moura
3fbc506271 Rename Truth to Trivial, and delete Trivial macro 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-07 21:53:19 -07:00
Leonardo de Moura
5acedcddbb Remove useless is_* functions. We can use equality for that (more readable and similar performance). 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-07 08:34:50 -07:00
Leonardo de Moura
2d27573e0c Add ImpAntisym axiom 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-07 08:29:20 -07:00
Leonardo de Moura
58fef282c3 Refactor theorems. Add new theorems. 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-07 01:16:37 -07:00
Leonardo de Moura
345894d4ed Add => as a primitive. Define Not, And and Or using =>. Add MP and Discharge as axioms. 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-06 20:22:09 -07:00
Leonardo de Moura
d88ff6f8e1 Add more theorems 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-06 19:10:38 -07:00
Leonardo de Moura
d1388f5e3c Define Lean forall. Prove forall elimination. 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-06 16:44:58 -07:00
Leonardo de Moura
3ff3eb6444 Add Eta axiom 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-06 14:47:13 -07:00
Leonardo de Moura
68d092f5ef Prove congr1, congr2 and congr theorems. Add xtrans theorem. 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-06 14:37:30 -07:00
Leonardo de Moura
9d6b421be9 Add theorems Truth, EqMP and EqTElim 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-06 12:17:55 -07:00
Leonardo de Moura
84f4a32c0e Change name convention for creating Lean expressions 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-06 11:27:14 -07:00
Leonardo de Moura
33d2dd2d8b Add subst proof rule. Define symm and trans using subst. 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-06 02:03:22 -07:00
Leonardo de Moura
30513398bb Add basic definitions and axioms 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-05 20:06:42 -07:00
Leonardo de Moura
7e2d7dcf3d Add more builtin constants 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-05 20:06:42 -07:00
Leonardo de Moura
3f789ce2b7 Add let and heterogeneous equality. Add bool_type and bool_value. 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-04 09:37:52 -07:00