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266 commits

Author SHA1 Message Date
Leonardo de Moura
13fe28dd1c perf(library/unifier): delay the instantiation of metavariables occurring in the types of local constants 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-23 14:31:30 -07:00
Leonardo de Moura
61661478ad refactor(kernel/metavar): simplify substitution class, and remove dead code 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-23 10:03:03 -07:00
Leonardo de Moura
d69db172a1 chore(kernel/replace_fn): add syntax sugar for replace function 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-19 12:53:37 +01:00
Leonardo de Moura
b62abf0f06 refactor(library/tactic/goal): remove redundance, goal pp method was duplicating some of the functionality provided by the pretty printer 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-10 18:59:03 +01:00
Leonardo de Moura
405e57eb2d refactor(kernel/formatter): add formatter_factory, and simplify formatter interface 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-10 18:32:00 +01:00
Leonardo de Moura
91b0dcad0f fix(library/tactic): avoid 'unknown' message in trace_tac when position information is not available 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-08 17:48:41 -07:00
Leonardo de Moura
a1601e7a5f feat(library/tactic/apply_tactic): add option for 'refreshing' universe metavariables in the 'apply' tactic 
The new test ../../tests/lean/run/tactic27.lean demonstrates why we need this feature. The tactic 'apply @refl' is actually 'apply @refl.{?l}'. It is used inside of a repeat tactical. Each iteration of the 'repeat' may need to use a different value for ?l. Before this commit, there was not way to say we want a fresh ?l each iteration.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-08 16:55:23 -07:00
Leonardo de Moura
a3be63af73 feat(frontends/lean): add tactic_hint command 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-08 15:08:13 -07:00
Leonardo de Moura
ab929d7201 refactor(library/unifier): store the unifier_plugin in the environment 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-05 10:25:58 -07:00
Leonardo de Moura
e0501104e2 feat(library/tactic): add 'fixpoint' tactic 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-04 01:30:28 -07:00
Leonardo de Moura
abbd054b51 feat(library/tactic): add eassumption tactic, and remove redundant 'subgoals' from apply tactic 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-03 13:04:46 -07:00
Leonardo de Moura
dd96bb151b refactor(library/unifier): reduce the number unify procedure 'flavors' 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-03 11:15:43 -07:00
Leonardo de Moura
0ff145e59b feat(library/tactic): add apply tactic 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-03 09:20:01 -07:00
Leonardo de Moura
e3ab0a1d10 feat(frontends/lean): improve error messages when users forget to import 'tactic' 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-03 08:33:29 -07:00
Leonardo de Moura
6b8b5f3dd8 feat(library/tactic): expose more builtin tactics, cleanup expr_to_tactic procedure 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-03 08:06:28 -07:00
Leonardo de Moura
a7d660f875 feat(frontends/lean): add command for customizing the behavior of proof-qed blocks: we can automatically register tactics to be automatically applied before each component 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-02 20:45:10 -07:00
Leonardo de Moura
5527955ba8 feat(frontends/lean): add 'proof-qed' notation 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-02 19:30:48 -07:00
Leonardo de Moura
138267b53a feat(frontends/lean/elaborator) add trick for improving error messages when mixing tactics, elaboration and exact tactic 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-02 18:58:32 -07:00
Leonardo de Moura
60c637fb9d feat(library/tactic): add 'exact' tactic 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-02 18:37:32 -07:00
Leonardo de Moura
37b5b7c4c2 feat(library/tactic): rename 'exact' to 'assumption', 'exact' is a different tactic 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-02 18:10:42 -07:00
Leonardo de Moura
6a6ebd5c2d refactor(kernel/metavar): add method instantiate as alias for instantiate_metavars_wo_jst 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-02 15:39:25 -07:00
Leonardo de Moura
3e1bb96935 feat(library/tactic/goal): propagate tag (for position information) from goal to subgoal 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-02 14:47:18 -07:00
Leonardo de Moura
ee531ec0e2 feat(frontends/parser): improve error message when an apply tactic refers a local constant that is not marked as [fact] 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-02 14:09:01 -07:00
Leonardo de Moura
0f27856e4a feat(library/tactic): new apply tactic 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-02 13:14:50 -07:00
Leonardo de Moura
6ab46396d8 feat(library/tactic): expose 'trace' tactic 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-02 10:52:45 -07:00
Leonardo de Moura
e1d909455c refactor(library/tactic): add namespace 'tactic', improve expr_to_tactic failure error message 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-02 10:45:09 -07:00
Leonardo de Moura
7593ee1468 refactor(library/standard): remove parameter from 'tactic' inductive type 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-02 08:09:24 -07:00
Leonardo de Moura
b2b76b078f feat(frontends/lean): remove build_tactic_cmds, and use expressions for representing tactics 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-01 20:43:53 -07:00
Leonardo de Moura
cbac21ec7f feat(library/tactic): add trick for 'embedding' tactics inside Lean expressions 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-01 19:05:22 -07:00
Leonardo de Moura
2df92b0701 refactor(library/tactic): simplify proof_state 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-01 18:02:17 -07:00
Leonardo de Moura
4cb5f97038 refactor(library/tactic): simplify tactic framework, no more proof builders 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-01 16:11:19 -07:00
Leonardo de Moura
cb000eda13 refactor(kernel): store binder_infor in local constants 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-30 11:37:46 -07:00
Leonardo de Moura
c2ab31113f refactor(library/tactic): remove cex_builder and 'precision' for proof_state's 
These two features make sense for solvers, but not in a general purpose tactic framework for building proofs like the one in Lean.

In most cases, we cannot build a counterexample anyway. These two features should be added in a custom framework for combining preprocessing techniques like in Z3.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-30 08:48:07 -07:00
Leonardo de Moura
8d584e54da feat(frontends/lean): add exact_apply 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-30 00:51:11 -07:00
Leonardo de Moura
360e9b9486 feat(library/tactic): add apply tactic 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-29 18:33:53 -07:00
Leonardo de Moura
a8f9594046 refactor(kernel/instantiate): rename instantiate_params to instantiate_univ_params 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-29 12:09:55 -07:00
Leonardo de Moura
937d7b2813 fix(library/tactic): unfold tactic 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-29 12:04:58 -07:00
Leonardo de Moura
6d09d82a7c feat(frontends/lean): add notation for orelse tactic, add show and now tactics 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-29 11:39:18 -07:00
Leonardo de Moura
a1bbb09de4 feat(frontends/lean): add notation for then tactic 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-29 11:24:56 -07:00
Leonardo de Moura
15f270d9f3 fix(library/tactic): memory leak that only happens when compiling with clang++ 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-29 11:07:06 -07:00
Leonardo de Moura
e408998e06 fix(library/tactic): name convention 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-27 18:42:59 -07:00
Leonardo de Moura
fa72e7b874 refactor(library/tactic): simplify tactic 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-27 18:35:59 -07:00
Leonardo de Moura
5524c6c3d8 refactor(library/tactic/proof_state): simplify proof state 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-27 14:49:48 -07:00
Leonardo de Moura
c6ac89d967 refactor(library/tactic/proof_builder): simplify proof builder 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-27 12:25:04 -07:00
Leonardo de Moura
aaa7960b75 refactor(library/tactic/goal): use local names for hypotheses 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-27 11:11:12 -07:00
Leonardo de Moura
d84b745241 refactor(library/tactic/cex_builder): simplify cex_builder 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-27 07:14:33 -07:00
Leonardo de Moura
b4e4c4d610 chore(library/tactic): remove unnecessary file 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-27 07:02:13 -07:00
Leonardo de Moura
f1d8d8dcf9 chore(library/tactic): update goal objects 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-27 07:00:12 -07:00
Leonardo de Moura
ad70044ae1 chore(library/tactic): remove dead code 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-27 07:00:12 -07:00
Leonardo de Moura
77c5319c4a chore(*): remove Lua 'migrate' 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-18 07:01:34 -07:00
Leonardo de Moura
2d70e2f4f2 fix(library/tactic/goal): bug in the proof builder 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-02-09 15:02:36 -08:00
Leonardo de Moura
1c43020fc9 fix(library/tactic/goal): bug creating main proof builder 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-02-08 09:11:07 -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
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
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
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
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
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
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
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
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
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
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
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
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
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
f1b97b18b4 refactor(frontends/lean/parser): tactic macros, and tactic Lua bindings 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-26 15:54:53 -08:00
Leonardo de Moura
88235d2922 feat(library/tactic/apply_tactic): try other solutions produced by the elaborator 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-25 11:51:27 -08:00
Leonardo de Moura
8e45064f25 feat(library/tactic/apply_tactic): improved parametric apply_tactic 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-24 22:40:34 -08:00
Leonardo de Moura
75cf751959 feat(library/tactic/apply_tactic): allow apply_tac Lua binding to take expressions as argument 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-24 16:03:16 -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
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
104bd990e1 feat(library/tactic): add normalize_tac, eval_tac and trivial_tac 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-22 14:10:42 -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
4d05a8b65b fix(library/tactic/apply_tactic): provide the metavar_env to instantiate, the goal is to avoid add_lift and add_inst local entries 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-20 14:17:04 -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
10f28c7bec feat(kernel/replace_fn): non-recursive replace_fn 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-17 16:35:39 -08:00
Leonardo de Moura
51aee83b70 refactor(kernel/metavar_env): use the same approach used in the class environment in the class metavar_env 
This modification was motivated by a bug exposed by tst17 at tests/kernel/type_checker.
metavar_env is now a smart point to metavar_env_cell.
ro_metavar_env is a read-only smart pointer. It is useful to make sure we are using proof_state correctly.

example showing that the approach for caching metavar_env is broken in the type_checker

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-13 18:59:15 -08:00
Leonardo de Moura
2e5e5e187f chore(util/rc): remove unnecessary argument from LEAN_COPY_REF and LEAN_MOVE_REF macros 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-13 15:01:24 -08:00
Leonardo de Moura
450d6a4b1e refactor(util/splay_tree): replace find with splay_find 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-12 17:27:30 -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
3457fe5935 chore(kernel): rename read_only_environment and read_write_environment 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-12 16:48:33 -08:00
Leonardo de Moura
c0b9c7ffc4 refactor(library/io_state): simplify regular/diagnostic 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-10 13:09:35 -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
8add5571f1 refactor(library/tactic): remove 'null' tactic, and operator bool tactics 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-08 15:00:16 -08:00
Leonardo de Moura
04b67f8b14 refactor(kernel/object): remove 'null' object, and operator bool for kernel objects 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-08 14:37:38 -08:00
Leonardo de Moura
2f88d6710c feat(kernel/expr): add some_expr and none_expr for building values of type optional<expr> 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-08 10:34:38 -08:00
Leonardo de Moura
3e1fd06903 refactor(kernel/expr): remove 'null' expression, and operator bool for expression 
After this commit, a value of type 'expr' cannot be a reference to nullptr.
This commit also fixes several bugs due to the use of 'null' expressions.

TODO: do the same for kernel objects, sexprs, etc.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-07 23:21:10 -08:00
Leonardo de Moura
e2999d3ff6 feat(*): add component name to check_stack and check_system 
I also reduced the stack size to 8 Mb in the tests at tests/lean and tests/lean/slow. The idea is to simulate stackoverflow conditions.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-07 15:11:55 -08:00
Leonardo de Moura
195ea24d71 refactor(kernel/type_checker): pass buffer<unification_constraint> as a pointer 
The idea is to make it an optional parameter independent of metavar_env.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-07 10:27:11 -08:00
Leonardo de Moura
015bff8283 fix(library/tactic/goal): to_goal way of handling context_entries of the form (name, domain, body) where domain is null, and body is a proof term 
This commit fixes a problem exposed by t13.lean.
It has a theorem of the form:

Theorem T1 (A B : Bool) : A /\ B -> B /\ A :=
     fun assumption : A /\ B,
          let lemma1 := (show A by auto),
              lemma2 := (show B by auto)
          in (show B /\ A by auto)

When to_goal creates a goal for the metavariable associated with (show B /\ A by auto) it receives a context and proposition of the form

 [ A : Bool, B : Bool, assumption : A /\ B, lemma1 := Conjunct1 assumption, lemma2 := Conjunct2 assumption ] |- B /\ A

The context_entries "lemma1 := Conjunct1 assumption" and "lemma2 := Conjunct2 assumption" do not have a domain (aka type).
Before this commit, to_goal would simply replace and references to "lemma1" and "lemma2" in "B /\ A" with their definitions.
Note that, "B /\ A" does not contain references to "lemma1" and "lemma2". Then, the following goal is created
     A : Bool, B : Bool, assumption : A /\ B |- B /\ A
That is, the lemmas are not available when solving B /\ A.
Thus, the tactic auto produced the following (weird) proof for T1, where the lemmas are computed but not used.

    Theorem T1 (A B : Bool) (assumption : A ∧ B) : B ∧ A :=
            let lemma1 := Conjunct1 assumption,
                lemma2 := Conjunct2 assumption
            in Conj (Conjunct2 assumption) (Conjunct1 assumption)

This commit fixed that. It computes the types of "Conjunct1 assumption" and "Conjunct2 assumption", and creates the goal
     A : Bool, B : Bool, assumption : A /\ B, lemma1 : A, lemma2 : B |- B /\ A

After this commit, the proof for theorem T1 is

Theorem T1 (A B : Bool) (assumption : A ∧ B) : B ∧ A :=
    let lemma1 := Conjunct1 assumption,
        lemma2 := Conjunct2 assumption
    in Conj lemma2 lemma1

as expected.

Finally, this example suggests that the encoding

Theorem T1 (A B : Bool) : A /\ B -> B /\ A :=
     fun assumption : A /\ B,
          let lemma1 : A := (by auto),
              lemma2 : B := (by auto)
          in (show B /\ A by auto)

is more efficient than

Theorem T1 (A B : Bool) : A /\ B -> B /\ A :=
     fun assumption : A /\ B,
          let lemma1 := (show A by auto),
              lemma2 := (show B by auto)
          in (show B /\ A by auto)

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-06 16:14:25 -08:00
Leonardo de Moura
bd9df3b08f fix(library/tactic/goal): null hypothesis being added by to_goal 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-06 16:03:06 -08:00
Leonardo de Moura
0390f3c39b feat(library/tactic/boolean_tactics): avoid unnecessary Let expression in proof terms 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-06 15:01:54 -08:00
Leonardo de Moura
13f9454fe1 feat(library/tactic/proof_state): add option tactic::proof_state::goal_names 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-05 21:18:22 -08:00
Leonardo de Moura
0c059a9917 feat(library/tactic): use _tac suffix instead of _tactic like Isabelle 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-05 20:06:32 -08:00
Leonardo de Moura
a1b5a8e50f fix(frontends/lean): check wheter the synthesized proof term has metavars or not 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-05 14:22:19 -08:00
Leonardo de Moura
43ef8b9a4b refactor(library/tactic): rename boolean.* to boolean_tactics.* 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-05 05:03:18 -08:00
Leonardo de Moura
fa98c1358f feat(library/tactic): add disj_tactic 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-05 04:49:06 -08:00
Leonardo de Moura
029ef57abd feat(library/tactic): add apply_tactic 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-05 03:22:12 -08:00
Leonardo de Moura
ef069e39b0 chore(*): replace to_expr with to_nonnull_expr (when appropriate) 
The goal is to make the Lua API more robust.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-03 12:53:53 -08:00
Leonardo de Moura
bcc8b67592 chore(*): consistent file name convention 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-03 12:40:52 -08:00
Leonardo de Moura
f80106a895 chore(*): use 'explicit operator bool' everywhere. 
operator bool() may produce unwanted conversions.
For example, we had the following bug in the code base.

...
   object const & obj = find_object(const_name(n));
   if (obj && obj.is_builtin() && obj.get_name() == n)
...

obj.get_name() has type lean::name
n              has type lean::expr

Both have 'operator bool()', then the compiler uses the operator to
convert them to Boolean, and then compare the result.
Of course, this is not our intention.

After this commit, the compiler correctly signs the error.
The correct code is

...
   object const & obj = find_object(const_name(n));
   if (obj && obj.is_builtin() && obj.get_name() == const_name(n))
...

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-02 23:02:45 -08:00
Leonardo de Moura
25978118df feat(library/tactic): add beta-reduction tactic 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-02 08:10:51 -08:00
Leonardo de Moura
09f98ecddc feat(library/tactic): add unfold_tactic() that unfolds every non-hidden definition 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-01 10:41:05 -08:00
Leonardo de Moura
ca53a5a1cc feat(library/tactic): add unfold tactic 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-01 08:51:56 -08:00
Leonardo de Moura
568931ccb1 refactor(library/tactic): remove duplicate code, add add_proofs 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-01 07:55:01 -08:00
Leonardo de Moura
f91c4901e8 feat(library/tactic): add absurd_tactic 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-01 07:55:00 -08:00
Leonardo de Moura
bf2adb20e7 feat(library/tactic): add disj_hyp_tactic 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-01 07:55:00 -08:00
Leonardo de Moura
1a221d8bbe feat(library/tactic): add focus tactical 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-30 11:28:38 -08:00
Leonardo de Moura
83aaf64318 fix(library/tactic): memory leaks 
Proof/Cex builders and tactics implemented in Lua had a "strong reference" to script_state. If they are stored in the Lua state, then we get a cyclic reference.
That is, script_state points to these objects, and they point back to script_state.

To avoid this memory leak, this commit defines a weak reference for script_state objects. The Proof/Cex builders and tactics now store a weak reference to the Lua state.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-30 00:44:39 -08:00
Leonardo de Moura
a7027a1d00 feat(library/tactic): polish tactic API, and add new example showing how to implement tactics using Lua 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-30 00:16:39 -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
18eb9e427f fix(library/tactic): compilation warning 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-29 10:35:14 -08:00
Leonardo de Moura
f9874cd675 feat(library/tactic): add to_tactic_ext, it allows functions that return tactics to be used where a tactic is expected 
For example, after this commit, we can write

simple_tac = REPEAT(ORELSE(imp_tactic, conj_tactic)) .. assumption_tactic

instead of

simple_tac = REPEAT(ORELSE(imp_tactic(), conj_tactic())) .. assumption_tactic()

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-29 09:40:21 -08:00
Leonardo de Moura
066dacea31 feat(library/tactic): add show_tactic, and optional '.' in the end of tactic command 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-29 01:33:26 -08:00
Leonardo de Moura
b3f87e2e4f feat(library/tactic): make THEN, ORELSE, APPEND, PAR and INTERLEAVE nary combinators 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-28 22:11:07 -08:00
Leonardo de Moura
dae86c2ffa feat(frontends/lean/parser): add basic tactic support in the frontend 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-28 21:08:12 -08:00
Leonardo de Moura
c6b05bcfcb feat(library/tactic): modify assumption_tactic, it should fail if not applicable, and TRY tactical 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-28 18:23:38 -08:00
Leonardo de Moura
e3f3ec5553 feat(library/tactic): expose conj_tactic, imp_tactic, conj_hyp_tactic in the Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-28 18:17:15 -08:00
Leonardo de Moura
d36a91e145 feat(library/tactic): expose COND and WHEN tacticals in Lua, add HOL-like tactical names 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-28 17:57:24 -08:00
Leonardo de Moura
ff052d41ee chore(*): fix cygwin compilation errors 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-28 13:49:18 -08:00
Leonardo de Moura
ce674d2d43 feat(library/tactic): execute Lua tactics using coroutines 
This is very important when several Lua tactics are implemented in the
same Lua State object.  In this case, even if we use the par
combinator, a Lua tactic will block the other Lua tactics running in
the same Lua State object.

With this commit, a Lua tactic can use yield to allow other tactics
in the same State object to execute.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-28 13:09:33 -08:00
Leonardo de Moura
09bc7ddf91 feat(library/tactic): add support for migratic tactic framework object between Lua states 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-28 08:03:05 -08:00
Leonardo de Moura
3dc7a856f0 refactor(library/tactic): use unprotect/protect idiom for callbacks in the tactic API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-27 18:11:46 -08:00
Leonardo de Moura
b4a8418d38 feat(library/tactic): expose tactics in the Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-27 17:47:29 -08:00
Leonardo de Moura
f7e8545e97 refactor(frontends/lua): rename leanlua_state to script_state, and move it to util 
This commit also minimizes the dependencies of script_state.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-27 14:57:36 -08:00
Leonardo de Moura
956f203a55 refactor(bindings/lua): move Lua bindings to the file associated with them 
The directory bindings/lua was getting too big and had too many dependencies.
Moreover, it was getting too painful to edit/maintain two different places.
Now, the bindings for module X are in the directory that defines X.
For example, the bindings for util/name.cpp are located at util/name.cpp.

The only exception is the kernel. We do not want to inflate the kernel
with Lua bindings. The bindings for the kernel classes are located
at bindings/kernel_bindings.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-26 19:15:56 -08:00
Leonardo de Moura
4e66a2e14a fix(library/tactic/goal): typo 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-26 11:34:58 -08:00
Leonardo de Moura
c22f863114 refactor(library/tactic): improve solve method 
Now, it produces the following outcomes:
1- A proof
2- A counterexample
3- A list of (unsolved) final states

Remark: the solve method does not check whether the proof or counterexample is correct.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-25 13:04:12 -08:00
Leonardo de Moura
9a8ea0c735 feat(library/tactic): add precision and counterexample builder to proof state 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-25 11:43:16 -08:00
Leonardo de Moura
ccaa272f9a refactor(library/tactic): simplify proof_builder API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-25 10:50:33 -08:00
Leonardo de Moura
500ed7a05b refactor(library/tactic): remove dead code, make proof_state a smart pointer, cleanup 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-25 10:39:40 -08:00
Leonardo de Moura
2c65fdb346 refactor(library/tactic): cleanup 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-25 01:06:34 -08:00
Leonardo de Moura
9dcfa03dd2 feat(library/tactic): add conj_hyp_tactic 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-24 21:00:38 -08:00
Leonardo de Moura
d75bd2ae98 feat(library/tactic/proof_state): remove goal name when pretty printing the proof state 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-24 20:22:47 -08:00
Leonardo de Moura
48d7afb0e8 feat(library/tactic): add trace_state_tactic 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-24 16:44:02 -08:00
Leonardo de Moura
6f05276acd refactor(library/tactic): remove unnecessary tactic_exception 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-24 16:31:49 -08:00
Leonardo de Moura
9c42a05b08 feat(library/tactic): add conj_tactic and imp_tactic 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-24 16:29:04 -08:00
Leonardo de Moura
1c607f3350 feat(library/tactic): add cond and when tacticals. 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-24 12:04:32 -08:00
Leonardo de Moura
40d612eca0 feat(library/tactic): add repeat1 and determ tacticals 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-24 11:38:51 -08:00
Leonardo de Moura
cb7a5288c5 refactor(library/tactic): minimize the amount of copying in the tactic API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-24 11:27:06 -08:00
Leonardo de Moura
22c49146ae feat(library/tactic): refine repeat and repeat_at_most tacticals 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-24 11:18:32 -08:00
Leonardo de Moura
e839787b74 refactor(library/tactic): cleanup 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-24 00:38:52 -08:00
Leonardo de Moura
40a2f0a588 refactor(util/lazy_list): polish lazy_list API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-23 17:45:01 -08:00
Leonardo de Moura
9da95dc6e6 style(library/tactic): missing include 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-23 17:06:00 -08:00
Leonardo de Moura
16cf60a04b refactor(library/tactic): modify par and try_for tactics 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-23 17:03:59 -08:00