Leonardo de Moura
1315378ebb
test(*): add missing tests
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-11-18 09:13:34 -08:00
Leonardo de Moura
69be5f6c94
feat(kernel/environment): track which modules were already imported
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-11-17 18:15:44 -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
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-10-29 17:07:30 -07:00
Leonardo de Moura
4dd6cead83
refactor(equality): make homogeneous equality the default equality
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It was not a good idea to use heterogeneous equality as the default equality in Lean.
It creates the following problems.
- Heterogeneous equality does not propagate constraints in the elaborator.
For example, suppose that l has type (List Int), then the expression
l = nil
will not propagate the type (List Int) to nil.
- It is easy to write false. For example, suppose x has type Real, and the user
writes x = 0. This is equivalent to false, since 0 has type Nat. The elaborator cannot introduce
the coercion since x = 0 is a type correct expression.
Homogeneous equality does not suffer from the problems above.
We keep heterogeneous equality because it is useful for generating proof terms.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-10-29 16:20:06 -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.
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-09-13 13:46:22 -07:00
Leonardo de Moura
d54834279e
Use consistent coding style for if-then-else
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-09-13 12:57:40 -07:00
Leonardo de Moura
8c735f1daa
Use consistent coding style for spaces after ','
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-09-13 12:49:03 -07:00
Leonardo de Moura
2c68117adf
Tag TODOs
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-09-13 12:25:21 -07:00
Leonardo de Moura
0c09e4524a
Use consistent names for import functions, and library files.
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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
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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
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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
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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.
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-09-06 18:32:15 -07:00
Leonardo de Moura
d41160f8a5
Modify environment. Now, when a builtin value is declared, if it has a unicode alternative representation, then we add it as a definition. Now, everything that occurs in the environment has been 'declared'.
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-09-04 08:53:00 -07:00
Leonardo de Moura
e955c054ca
Modify type checker. Now, it only accepts builtin values that have been declared in the environment. The idea is to be able to track which classes of builtin values have been used in a given environment. We want to be able to quantify the size of the trusted code base for a particular development.
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-09-04 08:30:04 -07:00
Leonardo de Moura
887f696f66
Factor duplicate code. Add more comments
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-09-03 23:27:58 -07:00
Leonardo de Moura
4eaba93591
Add trigonometric functions
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-09-02 17:03:02 -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.
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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
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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.
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-09-02 09:11:53 -07:00
Leonardo de Moura
4ef4655183
Add homogeneous equality
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-08-30 14:26:12 -07:00
Leonardo de Moura
ce470f57db
Add set options to lean_parser. Add support for disabling unicode output. Use channels in lean_parser.
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-08-21 12:42:55 -07:00
Leonardo de Moura
afd62ced87
Add parse_let
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-08-18 15:25:20 -07:00
Leonardo de Moura
cdccca9316
Rename builtin operator if-then-else
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-08-18 11:02:29 -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).
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-08-16 09:04:59 -07:00
Leonardo de Moura
9fbe99bf58
Rename define_uv -> add_uvar
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-08-10 14:21:13 -07:00
Leonardo de Moura
2d4caa7450
Mark 'implicit' parameters, and move them to the beginning
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-08-07 21:53:19 -07:00
Leonardo de Moura
2670e94398
Add pretty printer for Lean environment
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-08-07 19:10:12 -07:00
Leonardo de Moura
2d27573e0c
Add ImpAntisym axiom
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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.
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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.
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-08-06 20:22:09 -07:00
Leonardo de Moura
d88ff6f8e1
Add more theorems
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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.
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-08-06 16:44:58 -07:00
Leonardo de Moura
3ff3eb6444
Add Eta axiom
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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.
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-08-06 14:37:30 -07:00
Leonardo de Moura
ab915fb3f0
Add add_theorem
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-08-06 12:24:20 -07:00
Leonardo de Moura
9d6b421be9
Add theorems Truth, EqMP and EqTElim
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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
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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.
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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
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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
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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.
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-08-04 09:37:52 -07:00