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Author SHA1 Message Date
Leonardo de Moura
e4579b93e4 fix(library/elaborator): try first projection before imitation in the higher-order unifier 
Projections build more general solutions. This commit also adds a test that demonstrates the issue. Before this commit, the elaborator would produce the "constant" predicate (fun x, a + b = b + a).

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-02-06 13:35:05 -08:00
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
581ae0c83b chore(build): fix build dependencies 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-02-06 09:30:33 -08:00
Leonardo de Moura
db3bcdba55 refactor(builtin): move pair definition and theorems to pair.lean 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-02-06 09:20:52 -08:00
Leonardo de Moura
daf7075ce4 refactor(builtin/sum): use new 'have' expression to formalize optional-types 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-02-06 09:15:12 -08:00
Leonardo de Moura
5d698a60a7 refactor(builtin/sum): use new 'have' expression to formalize sum-types 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-02-06 08:59:05 -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
90f5a4f813 feat(builtin/sum): cleanup, and avoid unicode character that is not available in some platforms 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-02-06 00:20:49 -08:00
Leonardo de Moura
c01f82aeb7 feat(builtin): add sum types 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-02-05 23:04:44 -08:00
Leonardo de Moura
87da23649b feat(builtin/optional): prove dichotomy and induction theorems for optional types 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-02-05 19:49:50 -08:00
Leonardo de Moura
30570c843f feat(builtin): add optional type 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-02-05 17:33:06 -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
493007b7bc fix(frontends/lean/pp): bug in tuple/pair pretty printing 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-02-04 13:58:01 -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
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
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
9a677331da feat(builtin): simulate subtypes using sigma types 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-02-04 01:46:50 -08:00
Leonardo de Moura
61d0c792ff fix(frontends/lean/parser): bug in tuple/proj1/proj2 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-02-03 22:46:29 -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
5e5ab1429d feat(frontends/lean): parse and pretty print sigma types 
This commit also fixes some bugs in the implementation of Sigma types.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-02-03 18:16:00 -08:00
Leonardo de Moura
8eec289ce1 feat(kernel): add dependent pairs 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-02-03 16:52:49 -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
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
0ed35e2133 fix(build): kernel.lean depends on tactic.lua 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-30 23:15:44 -08:00
Leonardo de Moura
2aaded261e fix(kernel/environment): imported predicate 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-30 23:02:19 -08:00
Leonardo de Moura
bc2d504ccc feat(builtin/kernel): add rewrite rules for if-then-else 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-30 22:38:35 -08:00
Leonardo de Moura
b444756d20 fix(library/simplifier): missing condition in implication simplification 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-30 22:14:01 -08:00
Leonardo de Moura
4d533c6a25 feat(builtin/kernel): add nonempty_range theorem 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-30 22:13:34 -08:00
Leonardo de Moura
ddaf948c72 feat(builtin/kernel): add nonempty_fun theorem 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-30 19:38:51 -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
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
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
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
f0a2d3627e refactor(frontends/lean): use ascii prefix for auxiliary let-declarations 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-29 11:58:09 -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