Commit graph

133 commits

Author SHA1 Message Date
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
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
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
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
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
Leonardo de Moura
f19944cf09 refactor(util/lazy_list): 'lazier' lazy_lists
In the new implementation, even the head of the lazy list is computed on demand.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-11-23 15:33:30 -08:00
Leonardo de Moura
18d114416f feat(library/tactic): add take and force tacticals
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-11-22 17:05:18 -08:00
Leonardo de Moura
d258a4b7b8 feat(library/tactic): add repeat and repeat_at_most tacticals
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-11-22 16:39:25 -08:00
Leonardo de Moura
8bece1b53d feat(library/tactic): add append, interleave and par tacticals
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-11-22 16:15:03 -08:00
Leonardo de Moura
9fd594533d refactor(library/tactic): simplify tactic framework, add orelse and try_for combinators/tacticals
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-11-22 15:46:43 -08:00
Leonardo de Moura
796fb3c3bf refactor(library/tactic): remove justification_builder
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-11-21 17:29:06 -08:00
Leonardo de Moura
41062fdf9f feat(library/tactic): add pretty printer for goal and proof_state objects, add solve method for tactics, add trivial example
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-11-21 17:29:06 -08:00
Leonardo de Moura
5346b67651 refactor(library/state): rename Lean state object to io_state
The idea is to make it clear that io_state is distinguish it from proof_state, and from leanlua_state.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-11-21 17:29:06 -08:00
Leonardo de Moura
680ec8abba refactor(library/tactic): reorganize tactic API, add assumption_tactic
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-11-21 17:29:06 -08:00
Leonardo de Moura
3a6aa2dc75 feat(library/tactic): add tactic framework APIs
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-11-20 17:19:05 -08:00
Leonardo de Moura
5cfcb7e144 chore(kernel/for_each): use consistent naming convetions
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-11-19 11:24:02 -08:00
Leonardo de Moura
5254dba195 test(library/update_expr): add missing tests
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-11-17 13:36:15 -08:00
Leonardo de Moura
c4c548dc5d feat(*): simplify interrupt propagation
Instead of having m_interrupted flags in several components. We use a thread_local global variable.
The new approach is much simpler to get right since there is no risk of "forgetting" to propagate
the set_interrupt method to sub-components.

The plan is to support set_interrupt methods and m_interrupted flags only in tactic objects.
We need to support them in tactics and tacticals because we want to implement combinators/tacticals such as (try_for T M) that fails if tactic T does not finish in M ms.
For example, consider the tactic:

    try-for (T1 ORELSE T2) 5

It tries the tactic (T1 ORELSE T2) for 5ms.
Thus, if T1 does not finish after 5ms an interrupt request is sent, and T1 is interrupted.
Now, if you do not have a m_interrupted flag marking each tactic, the ORELSE combinator will try T2.
The set_interrupt method for ORELSE tactical should turn on the m_interrupted flag.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-11-12 21:45:48 -08:00
Leonardo de Moura
a57ca284ec fix(tests/library/elaborator): replace eq with my_eq because eq is now a builtin symbol
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-10-29 17:06:32 -07:00
Leonardo de Moura
4dd6cead83 refactor(equality): make homogeneous equality the default equality
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
dbefc91151 fix(kernel/metavar): add normalize assignment justification
We need that when we normalize the assignment in a metavariable environment.
That is, we replace metavariable in a substitution with other assignments.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-10-27 11:02:34 -07:00
Leonardo de Moura
e0ca27bfb3 fix(tests/library/rewriter): warning
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-10-25 08:33:53 -07:00
Leonardo de Moura
434c33f225 feat(metavar): automatically apply beta-reduction when instantiating metavariable applications (i.e., expressions of the form (?m a)), when the metavariable is a lambda
This feature is useful for problems that require higher-order matching and/or unification.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-10-23 16:35:50 -07:00
Leonardo de Moura
f1e0d6ec29 refactor(beta_reduction): move beta reduction functions to the kernel, delete reduce.cpp file and tests
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-10-23 15:44:26 -07:00
Leonardo de Moura
c1e451151a feat(replace_visitor): add an abstract class for applying transformations on expressions
I also removed replace_using_ctx since it is subsumed by the new class.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-10-23 15:01:37 -07:00
Leonardo de Moura
13531b7d3e refactor(kernel): rename trace to justification
Motivations:

- We have been writing several comments of the form "... trace/justification..." and "this trace object justify ...".
- Avoid confusion with util/trace.h

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-10-23 13:42:17 -07:00
Leonardo de Moura
8e1a75ce1c feat(elaborator): only process upper bound constraints when the corresponding metavariable does not have lower bound and max constraints
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-10-23 13:09:13 -07:00
Leonardo de Moura
172567a2fb feat(elaborator): add support for upper bounds, max constraints, and fix bugs
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-10-23 12:01:39 -07:00
Leonardo de Moura
c635c16637 refactor(ho_unifier): remove ho_unifier, it has been subsumed by the elaborator class
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-10-22 17:51:54 -07:00
Leonardo de Moura
019f64671b fix(elaborator): add basic support for flex-flex pairs, add more tests, fix bug when enumerating different solutions
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-10-22 17:49:37 -07:00
Leonardo de Moura
7ad256131e feat(elaborator): add support for constraints of the form ?m[inst, ...] == t, fix bugs, add more tests
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-10-22 16:39:22 -07:00
Leonardo de Moura
874f67c605 feat(normalizer): remove normalization rule t == t ==> true
This normalization rule is not really a computational rule.
It is essentially encoding the reflexivity axiom as computation.
It can also be abaused. For example, with this rule,
the following definition is valid:

Theorem Th : a = a := Refl b

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-10-22 14:02:48 -07:00
Leonardo de Moura
5e61496381 test(elaborator): add more tests
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-10-22 13:45:20 -07:00
Leonardo de Moura
cb2c73cf37 feat(elaborator): add higher-order matching support to elaborator
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-10-22 11:22:00 -07:00
Leonardo de Moura
f4592da87f feat(elaborator): solve more unification constraints, add more tests
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-10-22 08:15:37 -07:00
Leonardo de Moura
dc51d35dc0 feat(library/type_inferer): add support for metavariables at type_inferer
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-10-22 08:15:37 -07:00
Leonardo de Moura
7f96c07a01 refactor(library): rename light_checker to type_inferer
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-10-22 08:15:36 -07:00
Leonardo de Moura
b1b49e86e7 test(elaborator): add simple test
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-10-22 08:15:36 -07:00
Leonardo de Moura
7cf83800c0 refactor(metavar): implement metavar_env, and use unification_constraint and trace objects in the type_checker, light_checker
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-10-22 08:15:36 -07:00
Leonardo de Moura
85bfa45e6a refactor(kernel_exception): delete kernel_exception_formatter, and implement kernel_exception pretty printer as a virtual method
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-10-22 08:15:36 -07:00
Leonardo de Moura
d843d432d3 refactor(kernel): move printer and formatter objects to the kernel
The printer and formatter objects are not trusted code.
We moved them to the kernel to be able to provide them as an argument to the trace objects.
Another motivation is to eliminate the kernel_exception_formatter hack.
With the formatter in the kernel, we can implement the pretty printer for kernel exceptions as a virtual method.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-10-22 08:15:36 -07:00
Leonardo de Moura
ddb90d3038 feat(kernel): add unification_constraint and trace objects to the kernel
Trace objects will be used to justify steps performed by engines such as the elaborator. We use them to implement non-chronological backtracking in the elaborator. They are also use to justify to the user why something did not work.

The unification constraints are in the kernel because the type checker may create them when type checking a term containing metavariables.

Remark: a minimalistic kernel does not need to include metavariables, unification constraints, nor trace objects. We include these objects in our kernel to minimize code duplication.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-10-22 08:15:36 -07:00
Leonardo de Moura
59914a36f3 refactor(metavar): reorganize and simplify metavariables
- Use hierarchical names instead of unsigned integers to identify metavariables.
- Associate type with metavariable.
- Replace metavar_env with substitution.
- Rename meta_ctx --> local_ctx
- Rename meta_entry --> local_entry
- Disable old elaborator
- Rename unification_problems to unification_constraints
- Add metavar_generator
- Fix metavar unit tests
- Modify type checker to use metavar_generator
- Fix placeholder module

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-10-22 08:15:36 -07:00
Leonardo de Moura
5bd6ba37d0 fix(light_checker): fix inconsistent cache bug in light_checker, add tests that expose the problem
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-10-01 19:25:58 -07:00
Leonardo de Moura
2089d12bd0 fix(replace_using_ctx): fix inconsistent cache bug in replace_using_ctx, and add tests that expose the problem
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-10-01 18:52:18 -07:00
Soonho Kong
c50bc13be0 test(library/rewriter): add more tests 2013-10-01 00:30:38 -07:00
Soonho Kong
54f4c4d9bc test(library/rewriter/fo_match): clean up enable_trace 2013-09-29 18:36:01 -07:00
Soonho Kong
6a0d211d54 test(fo_match): add more unittests
[skip ci]
2013-09-27 01:53:42 -07:00
Leonardo de Moura
5cce74d116 test(library): add tests for improving coverage
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-09-26 19:43:10 -07:00
Leonardo de Moura
db4e5ab0ad feat(expr_lt): improve expr_lt performance by using hash codes, and add more tests
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-09-25 21:59:58 -07:00
Leonardo de Moura
e16f45854b refactor(deep_copy): simplify deep_copy implementation, and move unit test to separate file
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-09-25 20:25:24 -07:00
Soonho Kong
1d8b7dc193 Update 'orelse' and 'then' rewriter to take a list of rewriters 2013-09-25 16:46:39 -07:00
Soonho Kong
a50f5f92b8 Rename 'rewrite' to 'Rewriter', change type of rewriter::operator() 2013-09-25 15:38:16 -07:00
Soonho Kong
57e9e2c658 Re-implement rewrite module using rewrite_cell 2013-09-24 19:11:09 -07:00
Leonardo de Moura
ba0528c298 Implement total order on expressions
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-09-24 12:16:32 -07:00
Soonho Kong
71fb150333 Fix type of rewrite() to take an env. Add skeletons for other rewriters 2013-09-24 01:20:45 -07:00
Soonho Kong
81c9de229b Add then and orelse rewrite combinators and tests 2013-09-24 01:19:03 -07:00
Soonho Kong
9ba6068858 Update fo_match 2013-09-24 01:19:03 -07:00
Soonho Kong
f89ededddc Add rewrite and first-order pattern matching skeletal 2013-09-24 01:19:03 -07:00
Leonardo de Moura
c847d27763 Improve higher order unification
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-09-21 00:41:49 -07:00
Leonardo de Moura
7ac94ee976 Add max_sharing tests
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-09-20 22:01:40 -07:00
Leonardo de Moura
d34cfe3f8a Add simple formatter tests
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-09-20 21:46:32 -07:00
Leonardo de Moura
42482622f6 Add imitation for lambdas and Pis
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-09-19 16:28:23 -07:00
Leonardo de Moura
d7cc5d2404 Fix bug in ho_unifier
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-09-19 16:28:23 -07:00
Leonardo de Moura
2f29ff70d7 Implement higher-order unification
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-09-18 20:46:00 -07:00
Leonardo de Moura
63e102055e Move metavariables to the kernel. This is the first step for implementing the new elaborator.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-09-15 12:09:01 -07:00
Leonardo de Moura
8c735f1daa Use consistent coding style for spaces after ','
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-09-13 12:49:03 -07:00
Leonardo de Moura
573ec5ccc2 Rename import_all. The idea is to use consistent name for library files.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-09-13 09:06:46 -07:00
Leonardo de Moura
070c87bef0 Rename arith library files
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-09-13 08:55:09 -07:00
Leonardo de Moura
26097475fd Use fullpath in #include directives.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-09-12 20:04:10 -07:00
Leonardo de Moura
1cee392483 Add light_checker: module for extracting the type of (fully elaborated) expressions. It is much faster than type_checker, which infers the type but also check whether the input is type correct or not.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-09-07 22:33:18 -07:00
Leonardo de Moura
e8c09015ad Move elaborator to lean default frontend. It is getting too specific
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-09-01 18:22:24 -07:00
Leonardo de Moura
61a8fd16db Remove unnecessary files
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-09-01 14:57:08 -07:00
Leonardo de Moura
9d9f9797e4 Improve elaborator interface. Now, the metavariables are created inside the elaborator. The elaborator-user only needs to create placeholders. Motivaton: the placeholders are meaningful independently of the elaborator. On the other hand, the metavariables depend on the elaborator state.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-08-31 17:11:06 -07:00
Leonardo de Moura
2aac94f2e6 Refactor elaborator using new metavar library.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-08-30 01:25:06 -07:00
Leonardo de Moura
1f6943e3a4 Add head_reduce_mmv (reduction function modulo metavariables)
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-08-29 14:15:17 -07:00
Leonardo de Moura
2cf9ca9345 Add metavariable utilities. They will be used to refactor the elaborator.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-08-29 13:49:22 -07:00
Leonardo de Moura
cdab19b88c Simplify the elaborator
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-08-27 20:39:38 -07:00
Leonardo de Moura
0a34959716 Fix a bug. Add another test.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-08-25 20:43:50 -07:00
Leonardo de Moura
3721577700 Fix bugs in elaborator. Cleanup tests.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-08-25 18:46:33 -07:00
Leonardo de Moura
02b72acc2f Add implicit arguments unit tests 2013-08-24 18:23:39 -07:00
Leonardo de Moura
f08c06d582 Add head_beta tests
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-08-23 09:42:49 -07:00