Commit graph

1786 commits

Author SHA1 Message Date
Leonardo de Moura
5e5ab1429d feat(frontends/lean): parse and pretty print sigma types
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
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-03 16:52:49 -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
e3dc552c39 fix(library/simplifier): nontermination
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
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-31 15:38:22 -08:00
Leonardo de Moura
110ca84984 feat(library/simplifier): allow the user to associate a simplifier monitor with the lua_State object
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
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
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-30 23:02:19 -08:00
Leonardo de Moura
bc2d504ccc feat(builtin/kernel): add rewrite rules for if-then-else
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-30 22:38:35 -08:00
Leonardo de Moura
b444756d20 fix(library/simplifier): missing condition in implication simplification
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
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
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
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
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)
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
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
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
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 -> ...)
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
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-29 15:15:55 -08:00
Leonardo de Moura
a19f9d4846 feat(library/simplifier): discard conditional equations that are clearly non-terminating
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
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
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
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
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-29 11:58:09 -08:00
Leonardo de Moura
92ba4e8b2d feat(library/simplifier): add support for metavariables in conditional rewrite rules
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
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
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
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-28 19:36:31 -08:00
Leonardo de Moura
b6985bd713 feat(builtin/kernel): add another rewrite rule
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
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-28 15:56:01 -08:00
Leonardo de Moura
7f53cb9601 feat(frontends/lean/parser): add_rewrite take the 'using' command into account
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
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 =
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-28 00:21:05 -08:00
Leonardo de Moura
dbdbd211e3 fix(library/simplifier): compilation warning
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
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
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
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
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-27 16:44:43 -08:00
Leonardo de Moura
8bccfb947a feat(library/simplifier): expose simplier and simplifier_monitor objects in the Lua API
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-27 15:02:05 -08:00
Leonardo de Moura
c088825ef0 feat(library/simplifier): add simplifier_monitor interface
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-27 11:46:28 -08:00
Leonardo de Moura
b26035fcf6 feat(kernel/type_checker): improve application type mismatch error messages
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-27 09:45:17 -08:00
Leonardo de Moura
579b751e01 fix(library/simplifier): compilation warning
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-26 23:16:24 -08:00
Leonardo de Moura
ceff335bb8 doc(doc/lean/tutorial): update tutorial
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
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-26 18:53:18 -08:00
Leonardo de Moura
5e6c1d4904 refactor(builtin/heq): remove axiom hpiext since we don't use it anymore
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-26 13:11:17 -08:00
Leonardo de Moura
50df761d90 refactor(library/simplifier): remove the is_typem hack, it is not needed anymore now that we don't use hpiext anymore
Now, we are again using the following invariant for simplifier_fn::result
The type of in the equality of the result is definitionally equal to the
type of the resultant expression.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-26 12:21:23 -08:00
Leonardo de Moura
29e448f034 fix(library/simplifier): remove support in the simplifier for (forall x : A, B x) when it is not a proposition, the problem is that hpiext axiom produces an equality in a too big universe
For example, in the hpiext axiom, the resultant equality if for (Type M+1)

axiom hpiext {A A' : TypeM} {B : A -> TypeM} {B' : A' -> TypeM} :
      A = A' -> (∀ x x', x == x' -> B x = B' x') -> (∀ x, B x) = (∀ x, B' x)

even if the actual arguments A, A’, B, B’ "live" in a much smaller universe (e.g., Type).

So, it would be great if we could move the resultant equality back to the right universe.
I don't see how to do it right now.

The other solution would require a major rewrite of the code base.
We would have to support universe level arguments like Agda, and write the axiom hpiext as:

axiom hpiext {l : level} {A A' : (Type l)} {B : A -> (Type l)} {B' : A' -> (Type l)} :
      A = A' -> (∀ x x', x == x' -> B x = B' x') -> (∀ x, B x) = (∀ x, B' x)

This is the first instance I found where it is really handy to have this feature.
I think this would be a super clean solution, but it would require a big rewrite in the code base.
Another problem is that the actual semantics that Agda has for this kind of construction is not clear to me.
For instance, sometimes Agda reports that the type of an expression is (Set omega).

An easier to implement hack is to support "axiom templates".
We create instances of hipext "on-demand" for different universe levels.
This is essentially what Coq does, since the universe levels are implicit in Coq.
This is not as clean as the Agda approach, but it is much easier to implement.

A super dirty trick is to include some instances of hpiext for commonly used universes
(e.g., Type and (Type 1)).

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-26 12:10:34 -08:00
Leonardo de Moura
52ee9b35dd feat(library/simplifier): add support for simplifying even when heq module is not available
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-26 11:29:36 -08:00
Leonardo de Moura
fafaa7e78e fix(library/simplifier): remove hack for handling some constants that expect an argument of type TypeU, the new approach is general
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-26 10:10:57 -08:00
Leonardo de Moura
89bb5fbf19 chore(library/simplifier): fix style
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-26 00:36:17 -08:00
Leonardo de Moura
844572c382 feat(library/simplifier): support for dependent simplification in Pi/forall expressions
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-26 00:32:05 -08:00
Leonardo de Moura
e8bba1ebf3 fix(frontends/lean/frontend): the definition of the explicit version @f must be definitionally equal to f
Before this commit, the explicit version @f of a constant f with implicit arguments as not definitionally equal to f.

For example, if we had

variable f {A : Type} : A -> Bool

Then, the definition of @f was

definition @f (A : Type) (a : A) : Bool := f A a

This definition is equivalent to
     fun A a, f A a
which is not definitionally equal to
     f
since definitionally equality in Lean ignores Eta conversion.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-25 20:34:28 -08:00
Leonardo de Moura
6bc1537e25 feat(frontends/lean/parser): allow the user to write (Type) without providing a level
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-25 20:17:36 -08:00
Leonardo de Moura
9fb3ccb4c0 feat(library/simplifier): support for dependent simplification in lambda expressions
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-25 16:54:42 -08:00
Leonardo de Moura
7015089734 fix(library/simplifier): move to locally nameless approach in the simplifier. Contextual simplification may add rewriting rules with free variables, and it is a mess to manage them when using de Bruijn indices
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-25 10:49:44 -08:00
Leonardo de Moura
df3129e80d fix(library/hop_match): typo
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-25 10:08:53 -08:00
Leonardo de Moura
7a4eb4b8ed feat(library/simplifier): contextual simplification for A -> B
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-24 22:32:55 -08:00
Leonardo de Moura
c2381e43f1 fix(library/simplifier): bug in cast elimination
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-24 21:25:09 -08:00
Leonardo de Moura
2bb33c55fe feat(builtin/kernel): add more theorems useful for simplification
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-24 18:52:50 -08:00
Leonardo de Moura
8f455f5965 fix(frontends/lean): bug in scope construct
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-24 17:23:29 -08:00
Leonardo de Moura
7f3e2b3ef4 fix(frontends/lean/parser): bug in 'using' construct
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-24 17:09:46 -08:00
Leonardo de Moura
8e0888828d fix(library/simplifier): missing check in mk_hcongr_th
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-24 17:09:46 -08:00
Leonardo de Moura
26bea77721 fix(library/simplifier): bug in heterogeneous equality support, and universe commutativity support in the simplifier
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-24 17:09:46 -08:00
Leonardo de Moura
009217b499 feat(builtin/hep): replace hallext axiom with theorem
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-24 17:09:20 -08:00
Leonardo de Moura
dbc100cc2e feat(library/simplifier): cast elimination in the simplifier
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-23 17:28:14 -08:00
Leonardo de Moura
180be5c4a2 feat(library/simplifier): improve contextual simplifications
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-23 13:11:58 -08:00
Leonardo de Moura
33193e1ab3 feat(library/simplifier): improve contextual simplifications
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-23 12:54:29 -08:00
Leonardo de Moura
d6692264e8 feat(library/simplifier): contextual simplifications
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-23 12:23:22 -08:00
Leonardo de Moura
1638a7bb02 fix(frontends/lean/pp): compute local shared nodes, and avoid unnecessary let's
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-22 21:44:24 -08:00
Leonardo de Moura
17cce340f6 fix(library/elaborator): in optimization for metavariable free terms
The optimization was incorrect if the term indirectly contained a metavariable.
It could happen if the term contained a free variable that was assigned in the context to a term containing a metavariable.

This commit also adds a new test that exposes the problem.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-22 18:06:00 -08:00
Leonardo de Moura
8214c7add4 feat(library/elaborator): compensate the lack of eta-reduction (and eta-expanded normal forms) in the kernel normalizer
Before this commit, the elaborator was solving constraints of the form

       ctx |- (?m x) == (f x)
as
       ?m <- (fun x : A, f x)    where A is the domain of f.

In our kernel, the terms f and (fun x, f x) are not definitionally equal.
So, the solution above is not the only one. Another possible solution is

       ?m  <- f

Depending of the circumstances we want  ?m <- (fun x : A, f x) OR ?m <- f.
For example, when Lean is elaborating the eta-theorem in kernel.lean, the first solution should be used:
       ?m <- (fun x : A, f x)

When we are elaborating the axiom_of_choice theorem, we need to use the second one:
       ?m <- f

Of course, we can always provide the parameters explicitly and bypass the elaborator.
However, this goes against the idea that the elaborator can do mechanical steps for us.

This commit addresses this issue by creating a case-split
       ?m <- (fun x : A, f x)
       OR
       ?m <- f

Another solution is to implement eta-expanded normal forms in the Kernel.

With this change, we were able to cleanup the following "hacks" in kernel.lean:
     @eps_ax A (nonempty_ex_intro H) P w Hw
     @axiom_of_choice A B P H
where we had to explicitly provided the implicit arguments

This commit also improves the imitation step for Pi-terms that are actually arrows.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-22 13:28:54 -08:00
Leonardo de Moura
6cb4d165c9 feat(builtin/kernel): dependent version of axiom of choice
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-22 11:04:27 -08:00
Leonardo de Moura
88b6778a1f fix(emacs): syntax highlight
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-22 09:44:12 -08:00
Leonardo de Moura
66553268d0 feat(builtin/kernel): add skolem_th, we need it to justify skolemization preprocessing step
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
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-22 09:18:40 -08:00
Leonardo de Moura
bcf60db23b fix(builtin/kernel): Hilbert operator only for non-empty types
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-22 08:52:31 -08:00
Leonardo de Moura
94a3136904 feat(builtin/kernel): add Hilbert's operator, and derive axiom of choice using it
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-22 08:21:11 -08:00
Leonardo de Moura
425d31f513 chore(library/simplifier): fix style warning
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-21 21:45:55 -08:00
Leonardo de Moura
cca15f1390 feat(library/simplifier): congruence theorem compilation
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-21 21:16:23 -08:00
Leonardo de Moura
029d74ec11 chore(kernel): remove comment, we decided to have Eta as a simplification rule
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
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
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
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-21 14:21:13 -08:00
Leonardo de Moura
fbaf6e887f refactor(builtin/kernel): put the congruence theorems in a format that is easier for the simplifier to process
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-21 14:03:51 -08:00
Leonardo de Moura
ead54bbf57 feat(library/simplifier): enforce max_steps option
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-21 12:12:17 -08:00
Leonardo de Moura
1ccfac5873 feat(library/simplifier): conditional rewriting
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 21:15:46 -08:00
Leonardo de Moura
6bcd8e3ee5 fix(library/expr_lt): use expression depth instead of size to obtain a monotonic total order on terms
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
cd19d4da01 feat(library/simplifier): memoize intermediate results
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 17:03:44 -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
ad219d43d9 refactor(*): semantic attachment parsing and simplification
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 14:44:45 -08:00
Leonardo de Moura
217e56ea03 feat(kernel/expr): make sure semantic attachments are smaller than other kinds of expression
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 14:10:44 -08:00
Leonardo de Moura
abfeacb8f0 fix(tests/library/expr_lt): adjust is_lt unit tests to reflect recent modifications
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 13:44:44 -08:00
Leonardo de Moura
56f5657ee7 fix(library/simplifier): ordered rewriting
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 13:13:16 -08:00
Leonardo de Moura
5060bdbf14 fix(kernel/expr): compilation warning
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 13:12:49 -08:00
Leonardo de Moura
6a63ef3bc5 feat(library/expr_lt): make sure the total order on terms is monotonic
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 13:07:18 -08:00
Leonardo de Moura
ac9f8f340d feat(kernel/expr): add efficient get_size() function for expressions
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 12:28:37 -08:00
Leonardo de Moura
913d893204 feat(library/simplifier): add support for 'permutation' rewrite rules
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 08:29:31 -08:00
Leonardo de Moura
8e90d17a0b fix(library/hop_match): style
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 23:28:12 -08:00
Leonardo de Moura
69d7ee316f feat(library/simplifier): improve simplification by evaluation
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 23:26:34 -08:00