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622 commits

Author SHA1 Message Date
Leonardo de Moura
6d7ec9d7b6 refactor(kernel): add heterogeneous equality back to expr
The main motivation is that we will be able to move equalities between universes.

For example, suppose we have
    A : (Type i)
    B : (Type i)
    H : @eq (Type j) A B
where j > i

We didn't find any trick for deducing (@eq (Type i) A B) from H.
Before this commit, heterogeneous equality as a constant with type

   heq : {A B : (Type U)} : A -> B -> Bool

So, from H, we would only be able to deduce

   (@heq (Type j) (Type j) A B)

Not being able to move the equality back to a smaller universe is
problematic in several cases. I list some instances in the end of the commit message.

With this commit, Heterogeneous equality is a special kind of expression.
It is not a constant anymore. From H, we can deduce

   H1 : A == B

That is, we are essentially "erasing" the universes when we move to heterogeneous equality.
Now, since A and B have (Type i), we can deduce (@eq (Type i) A B) from H1. The proof term is

  (to_eq (Type i) A B (to_heq (Type j) A B H))  :  (@eq (Type i) A B)

So, it remains to explain why we need this feature.

For example, suppose we want to state the Pi extensionality axiom.

axiom hpiext {A A' : (Type U)} {B : A → (Type U)} {B' : A' → (Type U)} :
      A = A' → (∀ x x', x == x' → B x == B' x') → (∀ x, B x) == (∀ x, B' x)

This axiom produces an "inflated" equality at (Type U) when we treat heterogeneous
equality as a constant. The conclusion

     (∀ x, B x) == (∀ x, B' x)

is syntax sugar for

   (@heq (Type U) (Type U) (∀ x : A, B x) (∀ x : A', B' x))

Even if A, A', B, B' live in a much smaller universe.

As I described above, it doesn't seem to be a way to move this equality back to a smaller universe.

So, if we wanted to keep the heterogeneous equality as a constant, it seems we would
have to support axiom schemas. That is, hpiext would be parametrized by the universes where
A, A', B and B'. Another possibility would be to have universe polymorphism like Agda.
None of the solutions seem attractive.

So, we decided to have heterogeneous equality as a special kind of expression.
And use the trick above to move equalities back to the right universe.

BTW, the parser is not creating the new heterogeneous equalities yet.
Moreover, kernel.lean still contains a constant name heq2 that is the heterogeneous
equality as a constant.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-07 10:28:10 -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
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
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
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
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
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
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
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
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
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
24452289dd feat(library/simplifier): make sure the simplifier can handle meta-variables
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-28 20:30:47 -08:00
Leonardo de Moura
b6985bd713 feat(builtin/kernel): add another rewrite rule
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-28 15:56:26 -08:00
Leonardo de Moura
55fde28954 feat(kernel/type_checker): optionally provide metavariable environment in the methods: is_definitionally_equal, is_convertible and ensure_pi
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-27 17:47:03 -08:00
Leonardo de Moura
160dc71cb5 refactor(kernel/type_checker): use read-only metavariable environment in methods that do not require write access to the metavariable environment
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-27 17:38:06 -08:00
Leonardo de Moura
05b4d8411b refactor(kernel/normalizer): normalizer only needs read access to metavariable environment
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-27 17:03:36 -08:00
Leonardo de Moura
3b152d1a9e refactor(kernel): use ro_metavar_env instead of metavar_env in places where we only need to read the metavariable environment
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-27 16:44:43 -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
ceff335bb8 doc(doc/lean/tutorial): update tutorial
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-26 22:58:44 -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
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
2bb33c55fe feat(builtin/kernel): add more theorems useful for simplification
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-24 18:52:50 -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
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
66553268d0 feat(builtin/kernel): add skolem_th, we need it to justify skolemization preprocessing step
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-22 09:41:07 -08:00
Leonardo de Moura
d9b5ebc738 refactor(builtin/kernel): cleanup Hilbert operator definition
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-22 09:18:40 -08:00
Leonardo de Moura
94a3136904 feat(builtin/kernel): add Hilbert's operator, and derive axiom of choice using it
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-22 08:21:11 -08:00
Leonardo de Moura
029d74ec11 chore(kernel): remove comment, we decided to have Eta as a simplification rule
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-21 14:35:05 -08:00
Leonardo de Moura
95b6e61738 feat(kernel/max_sharing): check for imminent stack overflows and interruptions in the expression sharing maximizer
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-21 14:33:49 -08:00
Leonardo de Moura
2089b85532 refactor(kernel/instantiate): remove code duplication
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-21 14:30:38 -08:00
Leonardo de Moura
7299b2d5d6 chore(kernel): remove dead file
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-21 14:21:13 -08:00
Leonardo de Moura
6bcd8e3ee5 fix(library/expr_lt): use expression depth instead of size to obtain a monotonic total order on terms
It is not incorrect to use size, but it can easily overflow due to sharing.
The following script demonstrates the problem:

local f = Const("f")
local a = Const("a")
function mk_shared(d)
   if d == 0 then
      return a
   else
      local c = mk_shared(d-1)
      return f(c, c)
   end
end
print(mk_shared(33):size())

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 17:40:49 -08:00
Leonardo de Moura
217e56ea03 feat(kernel/expr): make sure semantic attachments are smaller than other kinds of expression
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 14:10:44 -08:00
Leonardo de Moura
5060bdbf14 fix(kernel/expr): compilation warning
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 13:12:49 -08:00
Leonardo de Moura
ac9f8f340d feat(kernel/expr): add efficient get_size() function for expressions
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 12:28:37 -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
6db10c577b feat(builtin/kernel): add proof irrelevance axiom
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 12:20:09 -08:00
Leonardo de Moura
475df3d94e chore(builtin/kernel): add theorem for rewriter/simplifier
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 10:34:18 -08:00
Leonardo de Moura
39c3b17eb7 feat(library/simplifier): add support for Eta-reduction in the simplifier
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 00:40:35 -08:00
Leonardo de Moura
27ab49ae9d feat(library/simplifier): bottom-up simplifier skeleton
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-18 12:49:41 -08:00
Leonardo de Moura
5bee259a00 refactor(kernel): remove unnecessary universe
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-16 18:06:25 -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
1da4294793 refactor(builtin): more theorems, fix iff notation
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-16 09:26:50 -08:00
Leonardo de Moura
4dc98bc73b refactor(builtin/kernel): use iff instead of = for Booleans
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-16 02:05:09 -08:00
Leonardo de Moura
14c6218bdc chore(kernel): file name convention
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 20:06:29 -08:00
Leonardo de Moura
7fb0aa4800 chore(kernel/expr): remove dead code
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 17:24:31 -08:00
Leonardo de Moura
c096eec1d6 chore(kernel/expr): remove dead code
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 17:09:04 -08:00
Leonardo de Moura
8c2f78a756 feat(builtin): minimize use of heterogenous equality in the kernel, add simpler version of congruence theorems for non-dependent types
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 16:34:23 -08:00
Leonardo de Moura
3daac17ea8 feat(library/simplifier): convert disequalities (a ≠ b) into equations '(a = b) = false'
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 15:30:16 -08:00
Leonardo de Moura
94fa987814 fix(kernel/type_checker): is_proposition method was still assuming that a Pi never has type Bool
The method is_proposition was using an optimization that became incorrect after  we identified Pi and forall.
It was assuming that any Pi expression is not a proposition.
This is not true anymore. Now, (Pi x : A, B) is a proposition if B is a proposition.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 11:02:52 -08:00
Leonardo de Moura
7c2a4211a8 feat(kernel): expose imported predicate
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-14 16:41:40 -08:00
Leonardo de Moura
07059b0531 feat(library): add if_then_else Lean/C++ interface
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-14 16:10:49 -08:00
Leonardo de Moura
acfb11e290 fix(kernel/instantiate): relax apply_beta pre-condition
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-14 14:36:51 -08:00
Leonardo de Moura
a968a43487 fix(kernel/free_vars): make sure has_free_var does not return incorrect result due to arithmetic overflows
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-14 14:36:14 -08:00
Leonardo de Moura
f8eaae7218 feat(builtin/kernel): add new useful theorems for the simplifier
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-13 18:21:22 -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
e6c322d97f feat(kernel/free_vars): make free_vars module functions more robust
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-12 17:44:28 -08:00
Leonardo de Moura
5d9a95addd refactor(kernel/free_vars): replace max_free_var with relaxed free_var_range
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-12 17:06:57 -08:00
Leonardo de Moura
4d9eb4ac6c feat(kernel): add max_free_var function
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-12 16:45:34 -08:00
Leonardo de Moura
781720a26a feat(builtin/kernel): add left_comm theorem
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-11 18:08:08 -08:00
Leonardo de Moura
a1a467a65f refactor(builtin): move congruence theorems to kernel/if_then_else modules
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-11 13:48:28 -08:00
Leonardo de Moura
53537d0684 feat(builtin/kernel): 'implication' simplification theorems
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-11 13:35:20 -08:00
Leonardo de Moura
50f281b430 feat(builtin/kernel): add eqf_intro and eqf_elim theorems
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-11 11:13:54 -08:00
Leonardo de Moura
d4a7d796a5 feat(builtin): prove strong induction theorem, add < theorems
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-10 18:46:33 -08:00
Leonardo de Moura
411f14415d feat(builtin): automatically generate Lean/C++ interface for builtin theories
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-09 18:09:53 -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
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
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
8e9d88c2cf refactor(builtin/kernel): prove iff::intro, and add a new name for it boolext (Boolean extensionality)
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 18:31:45 -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
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
85de05e5cf chore(kernel/unification_constraint): update max_constraint comment to reflect its new semantics
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 01:09:47 -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
95515ca5df chore(*): fix warnings produced by clang++
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 15:39:49 -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
4424a314e0 feat(kernel): add get_universe_distance method
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-06 17:13:13 -08:00
Leonardo de Moura
5fe8c32da9 feat(kernel): use new universe contraints in the environment, allow new constraints to be added
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-06 16:46:11 -08:00
Leonardo de Moura
b5a30855f8 feat(kernel/universe_constraints): add new class for managing universe constraints
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-06 15:01:28 -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
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
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
92c7145d7f feat(kernel/expr): maximize sharing before serializing
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 20:03:42 -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
ecc5d1bc3a refactor(kernel): move printer to library, cleanup io_state interface
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 13:37:50 -08:00
Leonardo de Moura
0592261847 refactor(kernel/io_state): move io_state_stream to library
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 13:14:21 -08:00
Leonardo de Moura
b81d3309b9 fix(kernel): remove ios hack
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 13:03:25 -08:00
Leonardo de Moura
43909ca66b feat(frontends/lean/pp): pretty print SetOpaque command
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-01 13:16:44 -08:00
Leonardo de Moura
74cae2a154 refactor(library/elaborator): remove hackish rule
After the recent fixes, the hack in process_metavar is not needed anymore.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-01 10:55:39 -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
0d815b8594 refactor(kernel/context): hide that the context is implemented using lists
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-31 19:43:50 -08:00
Leonardo de Moura
1cb7408c46 fix(kernel/normalizer): metavariable reification was incorrect, add tst11 at tests/kernel/normalizer.cpp to expose the bug
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-31 16:24:36 -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
c485b4bc4c fix(kernel/environment): binary file reader, force the file to be read in binary mode
We need this flag to be able to read the file on Windows.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-30 18:20:40 -08:00
Leonardo de Moura
1f6e959139 feat(deserializer): protect against corrupted binary files
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-30 18:05:38 -08:00
Leonardo de Moura
a80fccea93 chore(*): cleanup builtin registration
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-30 12:19:00 -08:00
Leonardo de Moura
2a2f0b0d89 refactor(kernel/builtin): move helper decl macros to a separate file
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-30 11:51:30 -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
72761f14e4 refactor(library/io_state): move to the kernel
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-30 11:20:23 -08:00
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
37e8738a5f refactor(kernel/expr): value deserializer
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-29 20:47:14 -08:00
Leonardo de Moura
de77851a00 refactor(util/object_serializer): add methods write_core and read_core that allows to pack information in the byte used to indicate whether an object is already in the cache or not
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-29 19:59:53 -08:00
Leonardo de Moura
dbd122301a feat(kernel/object): compact object serialization kind ids
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-29 19:19:24 -08:00
Leonardo de Moura
d0fdc3619b feat(kernel/expr): compress application serialization
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-29 19:11:57 -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
92404c511c refactor(kernel/builtin): Bool type does not need to be a semantic attachment
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-29 15:12:08 -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
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
9fdf2a3f55 feat(kernel): add trust_imported flag, it skips type checking of 'pre-compiled' Lean modules
"Pre-compiled" .olean files were already type checked. The flag -t instructs to Lean to skip
type checking when importing these files.
TODO: add a check-sum.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-29 03:43:53 -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
5e0b344871 fix(kernel/object): uninitialized variable
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-28 21:57:56 -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
aee1c6d3f3 feat(kernel): export/import (.olean) binary files
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-28 17:31:35 -08:00
Leonardo de Moura
22bebbf242 feat(kernel/object): serializer for kernel objects
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-28 14:39:10 -08:00
Leonardo de Moura
755e8b735f feat(kernel/expr): serializer for kernel expressions
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-28 01:23:21 -08:00
Leonardo de Moura
0ef8ba2939 feat(kernel/level): serializer for level objects
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-27 23:30:13 -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
2aa691ccb3 fix(kernel/replace_fn): ignore the cached type in constants
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-24 21:11:25 -08:00
Leonardo de Moura
1a0f0c1609 feat(kernel/normalizer): let normalizer ignore 'undefined' constants
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-24 20:54:15 -08:00
Leonardo de Moura
6cc57cc4b5 fix(library/tactic/apply_tactic): bug in apply_tac
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-24 15:54:56 -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
Soonho Kong
de018220e1 feat(*): use std::make_shared to create shared_ptr 2013-12-24 14:32:50 -05:00
Leonardo de Moura
b83b17d3ab fix(kernel/metavar): bug at cached_metavar_env::update method
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-23 15:41:02 -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
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
90dbdaec40 feat(kernel/expr): cache is_arrow result
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-21 13:59:45 -08:00
Leonardo de Moura
1faf42e2e1 chore(kernel/expr): remove unnecessary #if-#then-#else
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-21 13:36:41 -08:00
Leonardo de Moura
7b0b363b32 fix(kernel/normalizer): metavariable reification
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-21 06:40:26 -08:00
Leonardo de Moura
84df182beb refactor(kernel/instantiate): remove hackish (dead) function
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-20 14:37:05 -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
026f666526 feat(kernel/type_checker): use expression before normalization in the unification constraints generated by the typechecker
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-20 11:22:13 -08:00
Leonardo de Moura
4838c055b8 feat(kernel/environment): add set_opaque method
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-20 10:45:44 -08:00
Leonardo de Moura
46627289b8 fix(kernel/expr): avoid '_' as a binder name, we use '_' as a placeholder in the Lean frontend
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-19 14:47:53 -08:00
Leonardo de Moura
6cc83dbe2a fix(kernel/kernel_exception): incorrect pp method
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-19 14:46:22 -08:00
Leonardo de Moura
47c7bb1bde refactor(*): uses aliases for unordered_map and unordered_set
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-18 12:30:45 -08:00
Leonardo de Moura
1e4fa76a47 feat(util/name_map): add template alias
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-18 11:34:40 -08:00
Leonardo de Moura
7b2fea3fab fix(kernel/normalizer): compilation problem with clang++
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-18 08:46:36 -08:00
Leonardo de Moura
418623b874 feat(kernel/replace_fn): add template replace that captures commonly used pattern
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-17 18:31:59 -08:00