Leonardo de Moura
0b3599851d
refactor(library): remove unnecessary files
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:57 -07:00
Leonardo de Moura
d836e45452
refactor(library): remove unnecessary files
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:57 -07:00
Leonardo de Moura
4b7fe064fe
refactor(kernel): finish formatter interface
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
28516a8dc2
refactor(library): remove unnecessary file
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
e0ef6b2e9a
refactor(library): monotonic total order on terms
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
8cd78e00f1
refactor(library): deep_copy procedure
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
41782c0894
test(kernel/metavar): add metavar tests
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
bf13441bd7
fix(kernel): bugs in justification module, add missing metavar methods, add basic metavar tests
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
4c30ea9251
fix(kernel/justification): none is the unit of mk_composite
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
3c6002e969
refactor(kernel): add mk_rev_app, update_rev_app, implement instantiate_metavars functions, modify instantiate (free vars) API
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
42e253c962
fix(*): style and clang warnings
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
968c0d799f
refactor(kernel): implement substitution methods
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
5f4b1cf47e
feat(kernel): define metavar substitution based on red-black trees
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
f855dbb7b0
feat(util): add maps based on red-black trees
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
54d5088c98
feat(util/rb_tree): add check_invariant for red black trees
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
1ab12eb105
refactor(util/splay_map): remove unnecessary operation
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
528ea367ad
feat(util): add red-black trees
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
fdde12e6af
refactor(kernel): remove unnecessary files
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
2a73389ed3
refactor(kernel): justification objects
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
50300126a5
refactor(util/name_generator): make sure there is no risk of overflow, name generators will be extensively used in version 0.2
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
501435f6fc
feat(kernel): add has_local predicate
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
e1f4f1f0d1
feat(util/thread): add atomic_uchar
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
997f32378c
refactor(kernel): remove unnecessary files
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
6baa59376c
refactor(kernel): normalizer
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
eb046c11fb
refactor(kernel): the type in let-exprs is not optional anymore, if the user does not provide it, we use a metavariable
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
410d5cc8ed
fix(kernel): remove unnecessary file
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
16aa1ebbac
refactor(kernel): replace_visitor
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
101888e079
refactor(kernel): delete update_expr
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
b5f0f28009
refactor(kernel): environment, kernel object and exceptions
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
3c8ccdd33d
test(util/exception): experiment with exceptions with nested std::function
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
737fe6830f
test(tests/kernel): adjust expr tests
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
f986963a95
refactor(kernel): serializer and deserializer
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
74f74d2f79
refactor(kernel): shallow copy procedure
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
5da501d538
fix(kernel): style warnings
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
73c8bf4436
refactor(tests/kernel): move tests to new kernel
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
565dbe1700
fix(kernel/instantiate): bug in new head_beta_reduce
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
d17990ed78
refactor(kernel): add formatter and simplify contexts
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
53ee205dc6
fix(kernel): memory corruption bugs
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
72e1678ad9
refactor(kernel): cleanup instantiate and abstract procedures, implement update procedures
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
db31cc37a1
refactor(kernel/free_vars): cleanup free_vars procedures
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
533f44e224
refactor(kernel/expr): for_each_fn, replace_fn, and find_fn without templates
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
69b9f2dd37
refactor(kernel/expr): for_each and find functional objects
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:54 -07:00
Leonardo de Moura
23988f528c
refactor(kernel/expr): add expr constructors, and expression equality test
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:54 -07:00
Leonardo de Moura
9d3db8de1f
fix(kernel/diff_cnstrs): missing include
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:54 -07:00
Leonardo de Moura
02413d7c44
refactor(kernel/expr): adding suport for universe polymorphism, and simplify metavariable representation
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:54 -07:00
Leonardo de Moura
13cfd60622
fix(kernel/diff_cnstrs): copyright msg
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:54 -07:00
Leonardo de Moura
76b1ddb967
feat(kernel): add difference constraint solver with backtracking support, and justification generation, this solver will be used to check the satisfiability of universe level constraints
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:54 -07:00
Leonardo de Moura
9f93b5d97e
feat(kernel/level): new universe level datastructure for universe level polymorphism
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:54 -07:00
Leonardo de Moura
1b6b33b3f5
refactor(kernel): start version 0.2, new kernel with universe polymorphism and better/cleaner support for metavariables
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:54 -07:00
Leonardo de Moura
0c1674ab70
feat(builtin): quotient types
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-12 00:20:46 -07:00
Leonardo de Moura
e0eacd1f9f
feat(builtin): simpler encoding of sum types
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-03 18:30:45 -08:00
Leonardo de Moura
1d10953da4
fix(library/elaborator): add hack for experimenting with algebraic hierarchy
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-25 11:20:40 -08:00
Leonardo de Moura
aa8240985a
test(examples/lean): small version of algebraic hierarchy (proof of concept)
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-24 20:51:19 -08:00
Leonardo de Moura
309e7ba880
fix(library/elaborator): temporary fix for bug reported by Jeremy
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-24 15:26:21 -08:00
Leonardo de Moura
16844fff73
feat(builtin): simulate binary encoding
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-20 20:44:05 -08:00
Leonardo de Moura
d79e9af210
fix(frontends/lean): help msg
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-18 09:31:30 -08:00
Leonardo de Moura
f781ad823c
doc(builtin): Diaconescu’s theorem
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-18 09:12:09 -08:00
Leonardo de Moura
e9dada5e14
refactor(builtin/kernel): use standard definition for 'or' and 'and'
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-17 12:05:34 -08:00
Leonardo de Moura
4692e04d70
feat(builtin/proof_irrel): prove proof irrelevance
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-16 18:06:10 -08:00
Leonardo de Moura
c526e5ec00
feat(builtin/kernel): prove false_elim without using case
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-15 14:26:13 -08:00
Leonardo de Moura
1739b5c153
fix(kernel/type_checker): caching bug
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-12 10:43:01 -08:00
Leonardo de Moura
c740d9d799
fix(builtin/num): bug in the factorial definition
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-12 10:04:32 -08:00
Leonardo de Moura
45a0dbcc34
feat(builtin/num): define fact and exp
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-12 09:51:49 -08:00
Leonardo de Moura
368fcb5ff9
refactor(builtin/kernel): rename refute to by_contradiction
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-12 08:49:19 -08:00
Leonardo de Moura
69bccb6014
feat(builtin): define list, cons, nil and prove basic theorems
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-11 21:32:05 -08:00
Leonardo de Moura
bfe64a7031
fix(library/elaborator): hack for fixing a bug due to pairs/projs, this is temporary fix until we build a new elaborator
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-11 21:30:26 -08:00
Leonardo de Moura
0878b44fc7
feat(frontends/lean): allow user to import several theories using a single import
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-11 17:15:12 -08:00
Leonardo de Moura
11a2b3016f
fix(builtin/num): remove hacks for making the elaborator happy
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-10 14:05:51 -08:00
Leonardo de Moura
b7b868de85
fix(library/elaborator): bug reported by Jeremy Avigad
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-10 14:01:22 -08:00
Leonardo de Moura
a2d2e36f04
refactor(frontends/lean): remove notation for creating tuples
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-10 09:03:42 -08:00
Leonardo de Moura
4e08a3233e
fix(builtin): build dependency issue
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-10 08:33:07 -08:00
Leonardo de Moura
273f78d1cb
feat(builtin/num): prove strong induction and other theorems for num
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-09 21:09:50 -08:00
Leonardo de Moura
b119c11473
feat(builtin/tactic): add simp_no_assump tactic
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-09 20:28:30 -08:00
Leonardo de Moura
4317f67bd2
fix(builtin/tactic): more meaningful error message when skip tactic is used in a full proof
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-09 18:57:33 -08:00
Leonardo de Moura
57982135d9
fix(library/simplifier): bug using congr1 theorem
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-09 16:24:29 -08:00
Leonardo de Moura
c45c1748d8
refactor(builtin/kernel): reorder congr1 arguments
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-09 16:15:44 -08:00
Leonardo de Moura
fd6f8b1945
refactor(builtin/num): simplify proofs using 'by simp'
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-09 15:03:45 -08:00
Leonardo de Moura
2d70e2f4f2
fix(library/tactic/goal): bug in the proof builder
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-09 15:02:36 -08:00
Leonardo de Moura
4c76f6abb9
chore(builtin/num): remove leftover
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-09 11:39:26 -08:00
Leonardo de Moura
8df7c7b02d
feat(kernel/type_checker): remove fallback that expands opaque definitions in the type checker
...
We should not rely on this feature. It can be quite expensive.
We invoke is_convertible in several places, in particular, if we are using overloading. For example, the frontend uses is_convertible to check which overload should be used. Thus, it will make several calls such as
is_convertible(num, Nat)
If is_convertible starts unfolding opaque definitions, we would keep expanding num.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-09 11:31:24 -08:00
Leonardo de Moura
4c4c8b3e0d
feat(builtin/num): prove basic theorems using simplifier
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-09 11:24:53 -08:00
Leonardo de Moura
633ed6bb69
fix(frontends/lean/parser): bug in add_rewrite
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-09 09:46:56 -08:00
Leonardo de Moura
b24c085cb0
feat(frontends/lean): avoid warning message
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-09 09:26:51 -08:00
Leonardo de Moura
d6167eae32
feat(builtin/num): define add and mul
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-08 22:28:15 -08:00
Leonardo de Moura
cc4148a98d
feat(builtin/num): primitive recursion theorem
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-08 22:05:57 -08:00
Leonardo de Moura
f28c56b188
feat(builtin/num): add auxiliary definitions and theorems for proving the primitive recursion theorem
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-08 19:36:17 -08:00
Leonardo de Moura
fa4b60963b
feat(builtin/num): define lt predicate, and prove basic theorems
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-08 10:57:17 -08:00
Leonardo de Moura
1f3e0f7a38
chore(builtin/num): update object file
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-08 09:16:52 -08:00
Leonardo de Moura
aeaa803f9a
feat(builtin): add num type (the base type that will be used to build nat, int, real)
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-08 09:12:53 -08:00
Leonardo de Moura
1c43020fc9
fix(library/tactic/goal): bug creating main proof builder
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-08 09:11:07 -08:00
Leonardo de Moura
24528ff685
fix(library/elaborator): fix glitches in the elaborator that were forcing us to provide parameters explicitly
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-07 18:02:08 -08:00
Leonardo de Moura
1ec01f5757
refactor(builtin): merge pair.lean with kernel.lean, and add basic theorems
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-07 16:04:44 -08:00
Leonardo de Moura
ad7b13104f
feat(*): add support for heterogeneous equality in the parser, elaborator and simplifier, adjusts unit test to reflect changes
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-07 15:03:16 -08:00
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
354d5607af
chore(builtin/sum): cleanup
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-06 21:25:57 -08:00
Leonardo de Moura
d4b08fcf96
feat(library/elaborator): be 'lazy' when normalizing terms in the elaborator
...
Unification constraints of the form
ctx |- ?m[inst:i v] == T
and
ctx |- (?m a1 ... an) == T
are delayed by elaborator because the produce case-splits.
On the other hand, the step that puts terms is head-normal form is eagerly applied.
This is a bad idea for constraints like the two above. The elaborator will put T in head normal form
before executing process_meta_app and process_meta_inst. This is just wasted work, and creates
fully unfolded terms for solvers and provers.
The new test demonstrates the problem. In this test, we mark several terms as non-opaque.
Without this commit, the produced goal is a huge term.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-06 21:08:00 -08:00
Leonardo de Moura
ff955f9830
chore(frontends/lean/parser): update comments
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-06 20:56:31 -08:00
Leonardo de Moura
593f1f2ebd
fix(frontends/lean): allow user set constants defined in other namespaces as opaque
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-06 20:56:31 -08:00
Leonardo de Moura
363c4dc5c2
feat(library/elaborator): improve support for dependent pairs in the elaborator
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-06 20:56:31 -08:00
Leonardo de Moura
4b4b5e3345
fix(frontends/lean): import explicit versions when using the command 'using'
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-06 17:33:58 -08:00