Commit graph

66 commits

Author SHA1 Message Date
Leonardo de Moura
56ad1c1728 doc(examples/lean/abelian): proof of concept
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-10 18:17:15 -08:00
Leonardo de Moura
65076816fa doc(examples/lean/group): prove basic theorems
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-10 15:49:24 -08:00
Leonardo de Moura
acd04d3c2b doc(examples/lean): setoid and group examples
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-10 14:41:29 -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
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
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
6be50f0133 refactor(builtin/heq): merge cast and heq modules
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-02 15:01:48 -08:00
Leonardo de Moura
c56df132b8 refactor(kernel): remove semantic attachments from the kernel
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-02 14:48:27 -08:00
Leonardo de Moura
a51530dca0 doc(examples/lean): improve dep_if example
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-31 13:49:57 -08:00
Leonardo de Moura
4f22a3bfed doc(examples/lean): expand the dependent if-then-else example
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-30 22:44:04 -08:00
Leonardo de Moura
5b810d11eb doc(examples/lean): "dependent" if-then-else example
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-30 22:14:41 -08:00
Leonardo de Moura
2368b4097c fix(examples/lean): typo
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-30 12:36:10 -08:00
Leonardo de Moura
45b453873b doc(examples/lean): add well-founded induction theorem
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-30 12:33:55 -08:00
Leonardo de Moura
97ead50a3e feat(builtin/Nat): flip orientation of associativity axioms for + and *
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 15:38:00 -08:00
Leonardo de Moura
7a3aab60c6 chore(builtin/kernel): remove \bowtie as notation for transitivity
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-18 21:11:12 -08:00
Leonardo de Moura
7d6cd514d1 doc(examples/lean): cleanup
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-16 05:01:34 -08:00
Leonardo de Moura
fd8a1266d0 doc(examples/lean): update notation
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-16 04:52:45 -08:00
Leonardo de Moura
2ce245d68e doc(examples/lean): transitive closure example
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-16 04:37:36 -08:00
Leonardo de Moura
f8eaae7218 feat(builtin/kernel): add new useful theorems for the simplifier
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-13 18:21:22 -08:00
Leonardo de Moura
f2cac0410e doc(examples/lean): new examples
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-11 20:21:16 -08:00
Leonardo de Moura
6508e63a17 feat(builtin/macros): add assume/take macros for making proof scripts more readable
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-11 18:36:37 -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
8e9d88c2cf refactor(builtin/kernel): prove iff::intro, and add a new name for it boolext (Boolean extensionality)
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
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 17:25:14 -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
4523a9f22a fix(examples/lean/even): use new name for distribute right theorem
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 13:45:02 -08:00
Leonardo de Moura
8029134758 fix(examples/lean): comments
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-06 11:48:27 -08:00
Leonardo de Moura
62bb2ab2f9 fix(builtin/Nat): name convention
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-06 11:41:14 -08:00
Leonardo de Moura
645e748302 feat(frontends/lean): add 'using' command
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
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
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
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
0b4bdceb10 feat(builtin/macros): rename 'For' macro to 'take'
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-05 11:08:55 -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
31bacd8631 doc(examples/lean): add a new example with even/odd numbers
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-03 20:16:20 -08:00
Leonardo de Moura
fbe0bccf51 chore(*): name convention, proof construnction functions/macros start with upper-case
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-03 18:11:01 -08:00
Leonardo de Moura
a299778c88 chore(examples/lean): use macros in examples
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-01 14:01:12 -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
5f29146e0b feat(library/elaborator): use is_convertible for constraints without metavariables in the elaborator
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-01 03:14:01 -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
c3bc6afb12 refactor(library/arith): move int and nat declarations to .lean files.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-30 10:32:14 -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
af5854ad39 doc(examples/lean): use new Import command in examples
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-28 12:08:08 -08:00
Leonardo de Moura
f18360a294 doc(examples/lean/set): prove antisymmetry for subset relation
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-26 22:37:44 -08:00
Leonardo de Moura
7eaade4ceb chore(examples/lean): rename examples
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-26 16:00:42 -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