Leonardo de Moura
6be50f0133
refactor(builtin/heq): merge cast and heq modules
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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
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-02 14:48:27 -08:00
Leonardo de Moura
2b7bc7b673
test(tests/lean/exp): simulating HOL constructions
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-31 17:59:57 -08:00
Leonardo de Moura
e3dc552c39
fix(library/simplifier): nontermination
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The example tests/lua/simp1.lua demonstrates the issue.
The higher-order matcher matches closed terms that are definitionally equal.
So, given a definition
definition a := 1
it will match 'a' with '1' since they are definitionally equal.
Then, if we have a theorem
theorem a_eq_1 : a = 1
as a rewrite rule, it was triggering the following infinite loop when simplifying the expression "a"
a --> 1 --> 1 --> 1 ...
The first simplification is expected. The other ones are not.
The problem is that "1" is definitionally equal to "a", and they match.
The rewrite_rule_set manager accepts the rule a --> 1 since the left-hand-side does not occur in the right-hand-side.
To avoid this loop, we test if the new expression is not equal to the previous one.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-31 15:55:21 -08:00
Leonardo de Moura
1d85267d26
fix(library/simplifier): assumptions/context may contain equations where the left-hand-side is a metavariable or semantic attachment
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-31 15:38:22 -08:00
Leonardo de Moura
a51530dca0
doc(examples/lean): improve dep_if example
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-31 13:49:57 -08:00
Leonardo de Moura
110ca84984
feat(library/simplifier): allow the user to associate a simplifier monitor with the lua_State object
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-31 13:49:24 -08:00
Leonardo de Moura
0ed35e2133
fix(build): kernel.lean depends on tactic.lua
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-30 23:15:44 -08:00
Leonardo de Moura
2aaded261e
fix(kernel/environment): imported predicate
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-30 23:02:19 -08:00
Leonardo de Moura
4f22a3bfed
doc(examples/lean): expand the dependent if-then-else example
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-30 22:44:04 -08:00
Leonardo de Moura
bc2d504ccc
feat(builtin/kernel): add rewrite rules for if-then-else
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-30 22:38:35 -08:00
Leonardo de Moura
5b810d11eb
doc(examples/lean): "dependent" if-then-else example
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-30 22:14:41 -08:00
Leonardo de Moura
b444756d20
fix(library/simplifier): missing condition in implication simplification
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-30 22:14:01 -08:00
Leonardo de Moura
4d533c6a25
feat(builtin/kernel): add nonempty_range theorem
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-30 22:13:34 -08:00
Leonardo de Moura
ddaf948c72
feat(builtin/kernel): add nonempty_fun theorem
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-30 19:38:51 -08:00
Leonardo de Moura
759aa61f70
refactor(builtin/kernel): define if-then-else using Hilbert's operator
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-30 19:28:42 -08:00
Leonardo de Moura
b45ab9dc30
feat(library/elaborator): use equality constraints instead of convertability constraints on definitions
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Convertability constraints are harder to solve than equality constraints, and it seems they don't buy us anything definitions. They are just increasing the search space for the elaborator.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-30 14:13:21 -08:00
Leonardo de Moura
8c1f6b9055
fix(kernel/typechecker): allow elaborator to infer (Type U+1)
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In the new test elab8.lean, the parameter B is in (Type U+1).
Before, this commit, the type checker was forcing all metavariables that must be types to be <= (Type U). This restriction was preventing the elaborator from succeeding in reasonable cases.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-30 14:00:01 -08:00
Leonardo de Moura
2368b4097c
fix(examples/lean): typo
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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
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-30 12:33:55 -08:00
Leonardo de Moura
41f5e2a067
feat(library/simplifier): statically check (conditional) equations (aka rewrite rules) to verify whether we can skip type checking when using them in the simplifier
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-29 18:32:40 -08:00
Leonardo de Moura
01259b1e84
feat(kernel): make sure U is the maximal universe
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-29 16:31:00 -08:00
Leonardo de Moura
ea6bf224e5
feat(frontends/lean): make the parser accept (Type -> ...)
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Before this commit, the parser would accept only a universe level or a ')' after '(' 'Type'
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-29 15:23:20 -08:00
Leonardo de Moura
4f3127d3d5
fix(library/simplifier): check if the given types are convertible to ceq expected types
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-29 15:15:55 -08:00
Leonardo de Moura
0bb8fe75b3
test(tests/lean): new simplifier test
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-29 14:21:18 -08:00
Leonardo de Moura
a19f9d4846
feat(library/simplifier): discard conditional equations that are clearly non-terminating
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-29 13:56:45 -08:00
Leonardo de Moura
dd6aae378f
fix(library/simplifier): must use metavar_env in is_ceq, otherwise it may ceqs that contain metavariables
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-29 13:29:20 -08:00
Leonardo de Moura
4dc3aa46c3
feat(frontends/lean): allow tactics to be used in axiom/variable declarations and in the type of definitions/theorems; add a new test showing the need for this feature
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-29 12:02:12 -08:00
Leonardo de Moura
069e5edf6b
fix(library/simplifier): include flag indicating if the proof generated by simplifier is a homogenous or heterogenous equality, use flag to fix bug in the simp_tactic
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-29 12:01:01 -08:00
Leonardo de Moura
f0a2d3627e
refactor(frontends/lean): use ascii prefix for auxiliary let-declarations
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-29 11:58:09 -08:00
Leonardo de Moura
62408a6adc
test(tests/lean): move simp_loop test to slow subdirectory
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This example produces a stackoverflow on Valgrind.
We don't execute Valgrind on tests in the slow subdirectory.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-29 10:32:48 -08:00
Leonardo de Moura
92ba4e8b2d
feat(library/simplifier): add support for metavariables in conditional rewrite rules
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-29 08:34:04 -08:00
Leonardo de Moura
f101554e93
fix(util/script_exception): make sure a script_nested_exception may have a nested script_nested_exception, use LEAN_THREAD_LOCAL macro instead of thread_local
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-29 08:07:52 -08:00
Leonardo de Moura
24452289dd
feat(library/simplifier): make sure the simplifier can handle meta-variables
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-28 20:30:47 -08:00
Leonardo de Moura
ee4344076e
feat(library/simplifier): improve error message when simplifier is looping
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-28 19:36:31 -08:00
Leonardo de Moura
72c607846a
test(tests/lean): add Jeremy's proof to test suite
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-28 16:05:46 -08:00
Leonardo de Moura
b6985bd713
feat(builtin/kernel): add another rewrite rule
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-28 15:56:26 -08:00
Leonardo de Moura
e2540b68db
fix(src/builtin/tactic): add default rule set if none is provided
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-28 15:56:01 -08:00
Leonardo de Moura
b55aee1efd
doc(demo): add another example into demo set
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-28 10:11:58 -08:00
Leonardo de Moura
9bdf076342
doc(demo): add files for making demos
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-28 09:59:16 -08:00
Leonardo de Moura
7f53cb9601
feat(frontends/lean/parser): add_rewrite take the 'using' command into account
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-28 01:15:28 -08:00
Leonardo de Moura
b31ef34787
feat(library/simplifier): preserve binder names when applying higher-order rewrite rules
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-28 00:50:27 -08:00
Leonardo de Moura
6da1b447f0
fix(library/hop_match): do not match iff with =
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-28 00:21:05 -08:00
Leonardo de Moura
db45d02078
fix(tests/lean): test discrepancy on OSX
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-27 23:31:35 -08:00
Leonardo de Moura
dbdbd211e3
fix(library/simplifier): compilation warning
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-27 23:29:53 -08:00
Leonardo de Moura
55fde28954
feat(kernel/type_checker): optionally provide metavariable environment in the methods: is_definitionally_equal, is_convertible and ensure_pi
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-27 17:47:03 -08:00
Leonardo de Moura
160dc71cb5
refactor(kernel/type_checker): use read-only metavariable environment in methods that do not require write access to the metavariable environment
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-27 17:38:06 -08:00
Leonardo de Moura
05b4d8411b
refactor(kernel/normalizer): normalizer only needs read access to metavariable environment
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-27 17:03:36 -08:00
Leonardo de Moura
3b152d1a9e
refactor(kernel): use ro_metavar_env instead of metavar_env in places where we only need to read the metavariable environment
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-27 16:44:43 -08:00
Leonardo de Moura
7b88d68afb
test(tests/lean): add test using simplifier monitor for tracking failures
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-27 15:11:16 -08:00