Leonardo de Moura
97ead50a3e
feat(builtin/Nat): flip orientation of associativity axioms for + and *
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 15:38:00 -08:00
Leonardo de Moura
ad219d43d9
refactor(*): semantic attachment parsing and simplification
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 14:44:45 -08:00
Leonardo de Moura
69d7ee316f
feat(library/simplifier): improve simplification by evaluation
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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
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 12:20:09 -08:00
Leonardo de Moura
bbf6e6a256
feat(builtin/kernel): create default rule set in the kernel, and adjust unit tests
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 11:24:20 -08:00
Leonardo de Moura
475df3d94e
chore(builtin/kernel): add theorem for rewriter/simplifier
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 10:34:18 -08:00
Leonardo de Moura
7a3aab60c6
chore(builtin/kernel): remove \bowtie as notation for transitivity
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-18 21:11:12 -08:00
Leonardo de Moura
2753a0ffc0
fix(builtin/kernel): add ascii notation for transitivity
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-18 20:56:35 -08:00
Leonardo de Moura
27ab49ae9d
feat(library/simplifier): bottom-up simplifier skeleton
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-18 12:49:41 -08:00
Leonardo de Moura
534838a36c
chore(build): update automatically generated files
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-17 18:30:45 -08:00
Leonardo de Moura
d711ca4d1b
feat(builtin/heq): add heq C++/Lean interface
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-17 18:30:21 -08:00
Leonardo de Moura
20c8b91d07
feat(builtin/if_then_else): add more theorems for rewriting
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-17 18:11:23 -08:00
Leonardo de Moura
ba88a3b05a
chore(builtin/heq): remove unnecessary import
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-17 15:40:56 -08:00
Leonardo de Moura
70828af6db
refactor(builtin/heq): cleanup universes
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-17 14:52:09 -08:00
Leonardo de Moura
fc4c6454a7
chore(tests/lean): adjust tests to reflect recent changes
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-17 14:36:55 -08:00
Leonardo de Moura
0660cdbdb7
feat(builtin/cast): use heq in the cast library
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-17 14:31:45 -08:00
Leonardo de Moura
52756c50fc
fix(builtin/heq): extensionality axioms
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-17 12:56:36 -08:00
Leonardo de Moura
64795c6c42
feat(builtin): add heterogeneous equality theory
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-17 12:32:49 -08:00
Leonardo de Moura
baed98d5be
chore(builtin/kernel): adjust emacs mode and fix typo
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-17 10:14:57 -08:00
Leonardo de Moura
5bee259a00
refactor(kernel): remove unnecessary universe
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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
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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
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-16 09:26:50 -08:00
Leonardo de Moura
398d83b6d5
chore(builtin/Nat): use iff
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-16 02:06:53 -08:00
Leonardo de Moura
4dc98bc73b
refactor(builtin/kernel): use iff instead of = for Booleans
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-16 02:05:09 -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
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 16:34:23 -08:00
Leonardo de Moura
c73398a0b8
refactor(library/simplifier): relax rule for conditional equalities
...
The idea is to support conditional equations where the left-hand-side does not contain all theorem arguments, but the missing arguments can be inferred using type inference.
For example, we will be able to have the eta theorem as rewrite rule:
theorem eta {A : TypeU} {B : A → TypeU} (f : ∀ x : A, B x) : (λ x : A, f x) = f
:= funext (λ x : A, refl (f x))
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 16:06:00 -08:00
Leonardo de Moura
3daac17ea8
feat(library/simplifier): convert disequalities (a ≠ b) into equations '(a = b) = false'
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 15:30:16 -08:00
Leonardo de Moura
1176093afa
refactor(library/simplifier): simplifier should only use homogeneous equalities
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 14:58:32 -08:00
Leonardo de Moura
07059b0531
feat(library): add if_then_else Lean/C++ interface
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-14 16:10:49 -08:00
Leonardo de Moura
f8eaae7218
feat(builtin/kernel): add new useful theorems for the simplifier
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-13 18:21:22 -08:00
Leonardo de Moura
29fec3fecc
fix(builtin/util): bug incorrect encoding of \t and \n in regular expression, and missing local
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-12 17:40:41 -08:00
Leonardo de Moura
6508e63a17
feat(builtin/macros): add assume/take macros for making proof scripts more readable
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-11 18:36:37 -08:00
Leonardo de Moura
781720a26a
feat(builtin/kernel): add left_comm theorem
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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
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-11 13:48:28 -08:00
Leonardo de Moura
a0a92f11b7
feat(builtin/congr): add congruence theorems for contextual simplification
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-11 13:37:36 -08:00
Leonardo de Moura
53537d0684
feat(builtin/kernel): 'implication' simplification theorems
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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
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-11 11:13:54 -08:00
Leonardo de Moura
745c702ffb
fix(build): dependency problem on some platforms
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-10 19:06:15 -08:00
Leonardo de Moura
d4a7d796a5
feat(builtin): prove strong induction theorem, add < theorems
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-10 18:46:33 -08:00
Leonardo de Moura
5fb718c03a
fix(build): broken dependencies between lean executable and .olean, *_decls.cpp and *_decls.h files
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-10 10:58:35 -08:00
Leonardo de Moura
411f14415d
feat(builtin): automatically generate Lean/C++ interface for builtin theories
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-09 18:09:53 -08:00
Leonardo de Moura
a339a53f50
feat(util/options): 'verbose' as a system option, add -q (quiet) option
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-09 15:31:58 -08:00
Leonardo de Moura
2179e57db3
refactor(builtin): move if_then_else to its own module
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-09 14:08:39 -08:00
Leonardo de Moura
dff0b9011b
chore(builtin/cast): cleanup
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-09 12:06:22 -08:00
Leonardo de Moura
87b238efcd
chore(builtin/kernel): cleanup
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-09 09:00:05 -08:00
Leonardo de Moura
57c0006916
chore(*): cleanup lean builtin symbols, replace :: with _
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-09 08:33:52 -08:00
Leonardo de Moura
25086947fa
fix(builtin/kernel): incorrect comment
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 19:14:11 -08:00
Leonardo de Moura
8e9d88c2cf
refactor(builtin/kernel): prove iff::intro, and add a new name for it boolext (Boolean extensionality)
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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
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 17:25:14 -08:00
Leonardo de Moura
9c8026b86e
refactor(builtin/macros): remove 'take', 'discharge' and 'instantiate' macros
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 16:58:01 -08:00
Leonardo de Moura
bdec4c8799
refactor(builtin/Nat): mark constants as opaque
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 16:53:08 -08:00
Leonardo de Moura
2e3b92ef36
refactor(builtin/kernel): cleanup
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 16:52:43 -08:00
Leonardo de Moura
a6e0dcc96c
fix(builtin/cast): remove dominj axiom, it is not consistent with the new semantics of Pi/forall
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 16:19:11 -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
cfe576f551
fix(library/elaborator): bug in the elaborator
...
The elaborator was not handling correctly constraints of the form
ctx |- ?m << (Pi x : A, B)
and
ctx |- (Pi x : A, B) << ?m
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 12:10:50 -08:00
Leonardo de Moura
048151487e
feat(kernel): use Pi as forall/implication
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 00:38:39 -08:00
Leonardo de Moura
2cd2527d9f
refactor(shell): move read-eval-loop script to repl.lua
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 16:56:22 -08:00
Leonardo de Moura
0bc2c51c9c
fix(build): put back the dependency on lean executable for .olean files
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 16:13:58 -08:00
Leonardo de Moura
29db6accb8
test(tests/lean): new tests for exercising the environment object
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 14:34:21 -08:00
Leonardo de Moura
6077dc61b7
feat(builtin): remove lean executable as a dependency for builtin .lean files
...
Otherwise, we have to rebuild all .lean files whenever we change the executable.
This commit also adds a test for each .lean file.
This is useful for increasing coverage and having a log on how long does it take to process these files.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 13:53:30 -08:00
Leonardo de Moura
0bdecb6aa4
style(builtin/Nat): name convention
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 00:05:51 -08:00
Leonardo de Moura
c5d13abd6f
refactor(builtin/Nat): rename destruct to discriminate
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-06 23:05:27 -08:00
Leonardo de Moura
5fe8c32da9
feat(kernel): use new universe contraints in the environment, allow new constraints to be added
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-06 16:46:11 -08:00
Leonardo de Moura
68832dc6f2
fix(builtin/macros): comments
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-06 12:07:13 -08:00
Leonardo de Moura
929a536e2f
fix(builtin/README): update documentation
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-06 12:03:11 -08:00
Leonardo de Moura
62bb2ab2f9
fix(builtin/Nat): name convention
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-06 11:41:14 -08:00
Leonardo de Moura
8c956280d9
chore(frontends/lean): rename setoption and setopaque commands to set::option and set::opaque
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-06 11:41:03 -08:00
Leonardo de Moura
7222a2d1a9
feat(builtin/kernel): use the same notation for mp, eq::mp and forall::elim
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-05 21:39:31 -08:00
Leonardo de Moura
935c2a03a3
feat(*): change name conventions for Lean builtin libraries
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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'
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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'
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-05 11:25:58 -08:00
Leonardo de Moura
0b4bdceb10
feat(builtin/macros): rename 'For' macro to 'take'
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-05 11:08:55 -08:00
Leonardo de Moura
028a9bd9bd
feat(frontends/lean/scanner): use Lua style comments in Lean
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-05 08:53:27 -08:00
Leonardo de Moura
fbe0bccf51
chore(*): name convention, proof construnction functions/macros start with upper-case
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-03 18:11:01 -08:00
Leonardo de Moura
66ec538c63
doc(doc/lean/calc.md): calculational proof documentation
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-03 11:52:21 -08:00
Leonardo de Moura
5b5cebe750
refactor(builtin/Nat): use obtain-from instead of ExistsElim, and use more user-friendly argument order for Induction
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-03 10:33:57 -08:00
Leonardo de Moura
9f3706e365
feat(builtin/macros): add obtain-from macro for ExistsElim
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-03 10:32:49 -08:00
Leonardo de Moura
d7efdff83d
feat(builtin/Nat): add more leq theorems
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 22:48:10 -08:00
Leonardo de Moura
cf35e7bed7
feat(frontends/lean): add support for disequalities in calculational proofs
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 22:47:45 -08:00
Leonardo de Moura
6329d1828d
feat(frontends/lean): reuse name expression
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 20:08:21 -08:00
Leonardo de Moura
92c7145d7f
feat(kernel/expr): maximize sharing before serializing
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 20:03:42 -08:00
Leonardo de Moura
2d5800ace4
feat(builtin/Nat): leq axiom, and some theorems
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 18:24:32 -08:00
Leonardo de Moura
430b75f38f
test(tests/lean): add version of the Nat library full of holes
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 12:31:13 -08:00
Leonardo de Moura
307099b1cb
refactor(builtin/Nat): cleanup all proofs using calculational proof style
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 12:13:26 -08:00
Leonardo de Moura
111949b9be
feat(frontends/lean): calculational proofs
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 10:53:14 -08:00
Leonardo de Moura
7d18e9b32e
refactor(frontends/lean/parser): cleanup
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 04:37:21 -08:00
Leonardo de Moura
49425f1a5b
feat(builtin/Nat): multiplication axioms and theorems
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-01 21:32:07 -08:00
Leonardo de Moura
d72b165db4
feat(builtin/Nat): cleanup and add PlusAssoc
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-01 17:19:12 -08:00
Leonardo de Moura
aa009b6b05
feat(builtin/Nat): add basic axioms and theorems
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-01 15:53:53 -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
770145a361
feat(builtin): use namespaces when defining nat, int and real.
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-01 12:55:09 -08:00
Leonardo de Moura
c423198a69
feat(builtin/kernel): add Not.*Elim theorems
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-01 11:35:21 -08:00
Leonardo de Moura
a8bc9fb4e0
refactor(builtin/kernel): mark exists as opaque after proving key theorems
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-01 11:00:32 -08:00
Leonardo de Moura
909b10f515
fix(builtin): dependency
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-30 15:31:19 -08:00
Leonardo de Moura
cc07c440e1
refactor(builtin): move pre-compiled object files to subdirectory
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-30 13:46:39 -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
a017801983
chore(builtin): cleanup dependencies
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-30 12:40:42 -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
4401b390fe
refactor(library/arith): do not load specialfn by default
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-30 11:25:43 -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