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152 commits

Author SHA1 Message Date
Leonardo de Moura
dd99e60a00 refactor(frontends/lean/info_manager): store environment+options in the info_manager, fixes #96 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-08-26 18:07:09 -07:00
Leonardo de Moura
cbc81ea6c5 chore(*): minimize dependencies on tests 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-08-24 19:58:48 -07:00
Leonardo de Moura
dbaf81e16d refactor(library): remove unnecessary 'standard' subdirectory 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-08-23 18:08:09 -07:00
Leonardo de Moura
c5a44aca44 fix(frontends/lean/elaborator): do not expose type information produced when synthesizing class instances 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-08-22 17:07:12 -07:00
Leonardo de Moura
4a96fefd96 fix(library/unifier): bug in unifier priority queue 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-08-18 18:58:50 -07:00
Leonardo de Moura
1d306c09ee fix(tests/lean/interactive): remove leftover from test output 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-08-17 17:29:52 -07:00
Leonardo de Moura
13af81d554 fix(tests/lean/interactive): adjust test output to reflect new features 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-08-17 15:23:53 -07:00
Leonardo de Moura
55b0a03e3d refactor(frontends/lean/info_manager): to allow cache to be used when producing info data, fixes #37, closes #45 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-08-17 12:16:32 -07:00
Leonardo de Moura
a173b7f6e6 test(tests/lean/interactive): add old 'interactive' tests 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-08-06 14:57:08 -07:00
Leonardo de Moura
fc8ddcb0ce feat(frontends/lean): improve 'check' command when used inside sections 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-10 14:07:41 +01:00
Leonardo de Moura
2ef7b9be2f feat(frontends/lean): add basic pretty printer 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-09 01:12:36 -07:00
Leonardo de Moura
f5f3816596 chore(tests): cleanup test scripts 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-29 09:03:39 -07:00
Leonardo de Moura
930960c54d fix(frontends/lean/builtin_cmds): abstract section parameters in the 'check' command 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-26 10:06:50 -07:00
Leonardo de Moura
891a3fb48b feat(frontends/lean): add command block reader with snapshot and resume 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-14 14:13:32 -07:00
Leonardo de Moura
9f06cd553e test(lean): remove tests using Lean old syntax and kernel 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-17 10:38:53 -07:00
Leonardo de Moura
a51139e63b feat(frontends/lean): position information in error messages 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-02-06 17:26:38 -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
ccb9faf065 refactor(*): error messages 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-13 16:54:21 -08:00
Leonardo de Moura
84e211b81b fix(frontends/lean): missing ':' in error messages 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-09 11:19:58 -08:00
Leonardo de Moura
f7c7dd4ed4 feat(frontends/lean): include filename in error messages, use GNU error message style 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-09 11:01:27 -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
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
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
6569b07b7c feat(frontends/lean/parser): rename 'show' expression to 'have' 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-05 11:25:58 -08:00
Leonardo de Moura
9f08156a73 feat(frontends/lean/parser): combine Echo and Show commands into the 'print' command 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-05 11:03:35 -08:00
Leonardo de Moura
ce1213a020 feat(frontends/lean): use '(* ... *)' instead of '(** ... **)' for script code blocks 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-05 10:32:47 -08:00
Leonardo de Moura
028a9bd9bd feat(frontends/lean/scanner): use Lua style comments in Lean 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-05 08:53:27 -08:00
Leonardo de Moura
7726ccad28 chore(builtin): rename nat, int and real modules to Nat, Int and Real. 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-01-01 13:52:25 -08:00
Leonardo de Moura
08718e33dc refactor(builtin): only load the kernel and natural numbers by default 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-30 13:35:37 -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
bb81311e0a feat(frontends/lean/parser): include proof state in exception for tactic failure 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-20 17:15:12 -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
812c1a2960 feat(library/elaborator): only expand definitions that are not marked as hidden 
The elaborator produces better proof terms. This is particularly important when we have to prove the remaining holes using tactics.
For example, in one of the tests, the elaborator was producing the sub-expression

 (λ x : N, if ((λ x::1 : N, if (P a x x::1) ⊥ ⊤) == (λ x : N, ⊤)) ⊥ ⊤)

After, this commit it produces

 (λ x : N, ¬ ∀ x::1 : N, ¬ P a x x::1)

The expressions above are definitionally equal, but the second is easier to work with.

Question: do we really need hidden definitions?
Perhaps, we can use only the opaque flag.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-20 02:16:49 -08:00
Leonardo de Moura
bff5a6bfb2 fix(frontends/lean/pp): make sure pp and parser are using the same precedences 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-19 12:46:14 -08:00
Leonardo de Moura
dd72269b13 feat(frontends/lean): rename command Set to SetOption 
It is not nice to have Set as a reserved keyword. See example examples/lean/set.lean

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-18 21:18:48 -08:00
Leonardo de Moura
a75d05fdb4 fix(tests/lean/interactive): test driver (to avoid discrepancy between Win and Linux version) 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-06 17:03:12 -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
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
1df9d18891 feat(frontends/lean): allow 'tactic hints' to be associated with 'holes' 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-06 14:49:39 -08:00
Leonardo de Moura
2ddcc32c1d fix(frontends/lean/notation): change the precedence of '->' 
It should match the precedence of the implication '=>'.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-06 13:23:24 -08:00
Leonardo de Moura
d46cf5fdd5 fix(frontends/lean/parser): display failed state in noninteractive mode, stop processing tactic commands when a Lean command is found 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-06 05:13:29 -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
e6fb6f7d1e feat(frontends/lean/parser): add assumption command, and allow Lean expressions (proof terms) to be used with apply tactic command 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-05 20:08:51 -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
1b176204b4 feat(frontends/lean/parser): allow the user to use a theorem/axiom name as an argument for the apply tactic command 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-05 19:03:12 -08:00
Leonardo de Moura
e1d44eec6b fix(frontends/lean/parser): bug in parse_tactic 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-05 17:40:55 -08:00
Leonardo de Moura
a564795fe6 fix(frontends/lean/parser): remove unnecessary '#' after error 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-05 17:27:08 -08:00
Leonardo de Moura
74a8b5f2f4 test(tests/lean/interactive): add back command test 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-05 17:19:53 -08:00
Leonardo de Moura
e069ce640b feat(frontends/lean/parser): add tactic abort command 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-05 17:15:19 -08:00
Leonardo de Moura
34654ad06b feat(tests/lean/interactive): add interactive mode test script 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-05 16:56:20 -08:00