Leonardo de Moura
9dc86e3cf5
fix(builtin/kernel): rename generalized proof_irrel axiom to hproof_irrel, and derive the restricted one
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-04 10:06:29 -08:00
Leonardo de Moura
9a677331da
feat(builtin): simulate subtypes using sigma types
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-04 01:46:50 -08:00
Leonardo de Moura
4fcc292332
feat(frontends/lean): parse and pretty print pair/tuple projection operators proj1 and proj2, fix bug in the type checker
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-03 22:10:01 -08:00
Leonardo de Moura
5c991f8fbf
feat(frontends/lean): parse and pretty print tuples/pairs
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This commit also fixes a bug in the type checker when processing dependent pairs.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-03 20:10:30 -08:00
Leonardo de Moura
5e5ab1429d
feat(frontends/lean): parse and pretty print sigma types
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This commit also fixes some bugs in the implementation of Sigma types.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-03 18:16:00 -08:00
Leonardo de Moura
8eec289ce1
feat(kernel): add dependent pairs
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-03 16:52:49 -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
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
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
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
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
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
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
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
b26035fcf6
feat(kernel/type_checker): improve application type mismatch error messages
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-27 09:45:17 -08:00
Leonardo de Moura
ceff335bb8
doc(doc/lean/tutorial): update tutorial
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-26 22:58:44 -08:00
Leonardo de Moura
4d25cb7f47
feat(library/tactic): add simplify_tactic based on the simplifier
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-26 18:53:18 -08:00
Leonardo de Moura
9fb3ccb4c0
feat(library/simplifier): support for dependent simplification in lambda expressions
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-25 16:54:42 -08:00
Leonardo de Moura
2bb33c55fe
feat(builtin/kernel): add more theorems useful for simplification
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-24 18:52:50 -08:00
Leonardo de Moura
26bea77721
fix(library/simplifier): bug in heterogeneous equality support, and universe commutativity support in the simplifier
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-24 17:09:46 -08:00
Leonardo de Moura
dbc100cc2e
feat(library/simplifier): cast elimination in the simplifier
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-23 17:28:14 -08:00
Leonardo de Moura
33193e1ab3
feat(library/simplifier): improve contextual simplifications
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-23 12:54:29 -08:00
Leonardo de Moura
66553268d0
feat(builtin/kernel): add skolem_th, we need it to justify skolemization preprocessing step
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-22 09:41:07 -08:00
Leonardo de Moura
d9b5ebc738
refactor(builtin/kernel): cleanup Hilbert operator definition
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-22 09:18:40 -08:00
Leonardo de Moura
94a3136904
feat(builtin/kernel): add Hilbert's operator, and derive axiom of choice using it
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-22 08:21:11 -08:00
Leonardo de Moura
029d74ec11
chore(kernel): remove comment, we decided to have Eta as a simplification rule
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-21 14:35:05 -08:00
Leonardo de Moura
95b6e61738
feat(kernel/max_sharing): check for imminent stack overflows and interruptions in the expression sharing maximizer
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-21 14:33:49 -08:00
Leonardo de Moura
2089b85532
refactor(kernel/instantiate): remove code duplication
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-21 14:30:38 -08:00
Leonardo de Moura
7299b2d5d6
chore(kernel): remove dead file
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-21 14:21:13 -08:00
Leonardo de Moura
6bcd8e3ee5
fix(library/expr_lt): use expression depth instead of size to obtain a monotonic total order on terms
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It is not incorrect to use size, but it can easily overflow due to sharing.
The following script demonstrates the problem:
local f = Const("f")
local a = Const("a")
function mk_shared(d)
if d == 0 then
return a
else
local c = mk_shared(d-1)
return f(c, c)
end
end
print(mk_shared(33):size())
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 17:40:49 -08:00
Leonardo de Moura
217e56ea03
feat(kernel/expr): make sure semantic attachments are smaller than other kinds of expression
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 14:10:44 -08:00
Leonardo de Moura
5060bdbf14
fix(kernel/expr): compilation warning
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 13:12:49 -08:00
Leonardo de Moura
ac9f8f340d
feat(kernel/expr): add efficient get_size() function for expressions
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 12:28:37 -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
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
39c3b17eb7
feat(library/simplifier): add support for Eta-reduction in the simplifier
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 00:40:35 -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
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
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
14c6218bdc
chore(kernel): file name convention
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 20:06:29 -08:00
Leonardo de Moura
7fb0aa4800
chore(kernel/expr): remove dead code
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 17:24:31 -08:00
Leonardo de Moura
c096eec1d6
chore(kernel/expr): remove dead code
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 17:09:04 -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
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
94fa987814
fix(kernel/type_checker): is_proposition method was still assuming that a Pi never has type Bool
...
The method is_proposition was using an optimization that became incorrect after we identified Pi and forall.
It was assuming that any Pi expression is not a proposition.
This is not true anymore. Now, (Pi x : A, B) is a proposition if B is a proposition.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 11:02:52 -08:00
Leonardo de Moura
7c2a4211a8
feat(kernel): expose imported predicate
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-14 16:41:40 -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
acfb11e290
fix(kernel/instantiate): relax apply_beta pre-condition
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-14 14:36:51 -08:00
Leonardo de Moura
a968a43487
fix(kernel/free_vars): make sure has_free_var does not return incorrect result due to arithmetic overflows
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-14 14:36:14 -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
ccb9faf065
refactor(*): error messages
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-13 16:54:21 -08:00
Leonardo de Moura
e6c322d97f
feat(kernel/free_vars): make free_vars module functions more robust
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-12 17:44:28 -08:00
Leonardo de Moura
5d9a95addd
refactor(kernel/free_vars): replace max_free_var with relaxed free_var_range
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-12 17:06:57 -08:00
Leonardo de Moura
4d9eb4ac6c
feat(kernel): add max_free_var function
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-12 16:45:34 -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
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
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
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
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
fdeb457a81
feat(kernel/pos_info_provider): add support for file names in pos_info_provider
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The idea is to include the file name when displaying justification objects.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-09 12:19:30 -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
e42b616438
fix(kernel/normalizer): equality between semantic attachments
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Given a heterogenous equality: a == b
The normalizer will only reduce it if a and b are objects of the same kind.
Now, 1 == true is not reduced to false anymore.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 19:10:30 -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
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
85de05e5cf
chore(kernel/unification_constraint): update max_constraint comment to reflect its new semantics
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 01:09:47 -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
d12d0f036f
feat(kernel/environment): universe variables now live in their own namespace
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 15:57:36 -08:00
Leonardo de Moura
95515ca5df
chore(*): fix warnings produced by clang++
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 15:39:49 -08:00
Leonardo de Moura
29db6accb8
test(tests/lean): new tests for exercising the environment object
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 14:34:21 -08:00
Leonardo de Moura
0a20356a51
fix(kernel/environment): we should not add an universe contraint object to the set of object when an integer overflow occurs
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 13:43:22 -08:00
Leonardo de Moura
17c4cce89c
fix(library/elaborator): remove_detail procedure was keeping a lot of details when typeof_mvar_justification was being used
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 13:24:46 -08:00
Leonardo de Moura
4424a314e0
feat(kernel): add get_universe_distance method
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-06 17:13:13 -08:00
Leonardo de Moura
5fe8c32da9
feat(kernel): use new universe contraints in the environment, allow new constraints to be added
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-06 16:46:11 -08:00
Leonardo de Moura
b5a30855f8
feat(kernel/universe_constraints): add new class for managing universe constraints
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-06 15:01:28 -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'
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-05 13:06:36 -08:00
Leonardo de Moura
9eb4dc4a81
feat(kernel, library/elaborator, frontends/lean): improve how elaborator_exceptions are displayed in the Lean frontend
...
This commit affects different modules.
I used the following approach:
1- I store the metavariable environment at unification_failure_justifications. The idea is to capture the set of instantiated metavariables at the time of failure.
2- I added a remove_detail function. It removes propagation steps from the justification tree object. I also remove the backtracking search space associated with higher-order unificiation. I keep only the search related to case-splits due to coercions and overloads.
3- I use the metavariable environment captured at step 1 when pretty printing the justification of an elaborator_exception.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-03 17:18:23 -08:00
Leonardo de Moura
92c7145d7f
feat(kernel/expr): maximize sharing before serializing
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 20:03:42 -08:00
Leonardo de Moura
9620b00e24
feat(kernel/metavar): is instantiate_metavars, we are also instantiating assigned metavariables that occur in the local context of unassinged ones.
...
This modification improves the effectiveness of the process_metavar_inst procedure in the Lean elaborator.
For example, suppose we have the constraint
ctx |- ?M1[inst:0 ?M2] == a
If ?M1 and ?M2 are unassigned, then we have to consider the two possible solutions:
?M1 == a
or
?M1 == #0 and ?M2 == a
On the other hand, if ?M2 is assigned to b, then we can ignore the second case.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 16:08:38 -08:00
Leonardo de Moura
ecc5d1bc3a
refactor(kernel): move printer to library, cleanup io_state interface
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 13:37:50 -08:00
Leonardo de Moura
0592261847
refactor(kernel/io_state): move io_state_stream to library
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 13:14:21 -08:00
Leonardo de Moura
b81d3309b9
fix(kernel): remove ios hack
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 13:03:25 -08:00
Leonardo de Moura
43909ca66b
feat(frontends/lean/pp): pretty print SetOpaque command
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-01 13:16:44 -08:00
Leonardo de Moura
74cae2a154
refactor(library/elaborator): remove hackish rule
...
After the recent fixes, the hack in process_metavar is not needed anymore.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-01 10:55:39 -08:00
Leonardo de Moura
cbd1f98365
fix(library/elaborator): bug at method process_metavar_inst, add new test that exposed the bug
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-01 03:02:41 -08:00
Leonardo de Moura
0d815b8594
refactor(kernel/context): hide that the context is implemented using lists
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-31 19:43:50 -08:00
Leonardo de Moura
1cb7408c46
fix(kernel/normalizer): metavariable reification was incorrect, add tst11 at tests/kernel/normalizer.cpp to expose the bug
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-31 16:24:36 -08:00
Leonardo de Moura
cd3bbb1ebf
fix(kernel/builtin): enforcing design decision: semantic attachments are NOT simplifiers, they should do only evaluation
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-31 10:14:17 -08:00