feat(library/normalize): add '[unfold-m]' hint

See issue #496
This commit is contained in:
Leonardo de Moura 2015-05-04 14:23:04 -07:00
parent 5e05a25a5d
commit 6571c47353
9 changed files with 136 additions and 21 deletions

View file

@ -119,7 +119,8 @@
(,(rx symbol-start "_" symbol-end) . 'font-lock-preprocessor-face)
;; modifiers
(,(rx (or "\[persistent\]" "\[notation\]" "\[visible\]" "\[instance\]" "\[class\]" "\[parsing-only\]"
"\[coercion\]" "\[unfold-f\]" "\[reducible\]" "\[irreducible\]" "\[semireducible\]" "\[quasireducible\]" "\[wf\]"
"\[coercion\]" "\[unfold-f\]" "\[unfold-m\]" "\[reducible\]"
"\[irreducible\]" "\[semireducible\]" "\[quasireducible\]" "\[wf\]"
"\[whnf\]" "\[multiple-instances\]" "\[none\]"
"\[decls\]" "\[declarations\]" "\[all-transparent\]" "\[coercions\]" "\[classes\]"
"\[symm\]" "\[subst\]" "\[refl\]" "\[trans\]"

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@ -354,6 +354,7 @@ struct decl_attributes {
bool m_is_parsing_only;
bool m_has_multiple_instances;
bool m_unfold_f_hint;
bool m_unfold_m_hint;
bool m_symm;
bool m_trans;
bool m_refl;
@ -376,6 +377,7 @@ struct decl_attributes {
m_is_parsing_only = false;
m_has_multiple_instances = false;
m_unfold_f_hint = false;
m_unfold_m_hint = false;
m_symm = false;
m_trans = false;
m_refl = false;
@ -484,6 +486,9 @@ struct decl_attributes {
} else if (p.curr_is_token(get_unfold_f_tk())) {
p.next();
m_unfold_f_hint = true;
} else if (p.curr_is_token(get_unfold_m_tk())) {
p.next();
m_unfold_m_hint = true;
} else if (p.curr_is_token(get_unfold_c_tk())) {
p.next();
unsigned r = p.parse_small_nat();
@ -547,6 +552,8 @@ struct decl_attributes {
env = add_unfold_c_hint(env, d, *m_unfold_c_hint, m_persistent);
if (m_unfold_f_hint)
env = add_unfold_f_hint(env, d, m_persistent);
if (m_unfold_m_hint)
env = add_unfold_m_hint(env, d, m_persistent);
}
if (m_symm)
env = add_symm(env, d, m_persistent);

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@ -108,7 +108,8 @@ void init_token_table(token_table & t) {
"variables", "parameter", "parameters", "constant", "constants", "[persistent]", "[visible]", "[instance]",
"[none]", "[class]", "[coercion]", "[reducible]", "[irreducible]", "[semireducible]", "[quasireducible]",
"[parsing-only]", "[multiple-instances]", "[symm]", "[trans]", "[refl]", "[subst]",
"evaluate", "check", "eval", "[wf]", "[whnf]", "[all-transparent]", "[priority", "[unfold-f]", "[unfold-c", "print",
"evaluate", "check", "eval", "[wf]", "[whnf]", "[all-transparent]", "[priority", "[unfold-f]",
"[unfold-m]", "[unfold-c", "print",
"end", "namespace", "section", "prelude", "help",
"import", "inductive", "record", "structure", "module", "universe", "universes", "local",
"precedence", "reserve", "infixl", "infixr", "infix", "postfix", "prefix", "notation",

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@ -105,6 +105,7 @@ static name * g_instance = nullptr;
static name * g_priority = nullptr;
static name * g_unfold_c = nullptr;
static name * g_unfold_f = nullptr;
static name * g_unfold_m = nullptr;
static name * g_coercion = nullptr;
static name * g_reducible = nullptr;
static name * g_quasireducible = nullptr;
@ -238,6 +239,7 @@ void initialize_tokens() {
g_priority = new name("[priority");
g_unfold_c = new name("[unfold-c");
g_unfold_f = new name("[unfold-f]");
g_unfold_m = new name("[unfold-m]");
g_coercion = new name("[coercion]");
g_reducible = new name("[reducible]");
g_quasireducible = new name("[quasireducible]");
@ -310,6 +312,7 @@ void finalize_tokens() {
delete g_priority;
delete g_unfold_c;
delete g_unfold_f;
delete g_unfold_m;
delete g_coercion;
delete g_symm;
delete g_refl;
@ -507,6 +510,7 @@ name const & get_instance_tk() { return *g_instance; }
name const & get_priority_tk() { return *g_priority; }
name const & get_unfold_c_tk() { return *g_unfold_c; }
name const & get_unfold_f_tk() { return *g_unfold_f; }
name const & get_unfold_m_tk() { return *g_unfold_m; }
name const & get_coercion_tk() { return *g_coercion; }
name const & get_symm_tk() { return *g_symm; }
name const & get_trans_tk() { return *g_trans; }

View file

@ -107,6 +107,7 @@ name const & get_instance_tk();
name const & get_priority_tk();
name const & get_unfold_c_tk();
name const & get_unfold_f_tk();
name const & get_unfold_m_tk();
name const & get_coercion_tk();
name const & get_reducible_tk();
name const & get_semireducible_tk();

View file

@ -147,6 +147,7 @@ static environment mk_below(environment const & env, name const & n, bool ibelow
opaque, rec_decl.get_module_idx(), use_conv_opt);
environment new_env = module::add(env, check(env, new_d));
new_env = set_reducible(new_env, below_name, reducible_status::Reducible);
if (!ibelow)
new_env = add_unfold_c_hint(new_env, below_name, nparams + nindices + ntypeformers);
return add_protected(new_env, below_name);
}
@ -333,6 +334,7 @@ static environment mk_brec_on(environment const & env, name const & n, bool ind)
opaque, rec_decl.get_module_idx(), use_conv_opt);
environment new_env = module::add(env, check(env, new_d));
new_env = set_reducible(new_env, brec_on_name, reducible_status::Reducible);
if (!ind)
new_env = add_unfold_c_hint(new_env, brec_on_name, nparams + nindices + ntypeformers);
return add_protected(new_env, brec_on_name);
}

View file

@ -24,21 +24,25 @@ namespace lean {
- unfold_c (f a_1 ... a_i ... a_n) should be unfolded
when argument a_i is a constructor.
- unfold_f (f a_1 ... a_i ... a_n) should be unfolded when it is fully applied.
- unfold_m (f ...) should be unfolded when it is the major premise of a recursor-like operator
*/
struct unfold_hint_entry {
bool m_unfold_c; //!< true if it is an unfold_c hint
enum kind {UnfoldC, UnfoldF, UnfoldM};
kind m_kind; //!< true if it is an unfold_c hint
bool m_add; //!< add/remove hint
name m_decl_name;
unsigned m_arg_idx;
unfold_hint_entry():m_unfold_c(false), m_add(false), m_arg_idx(0) {}
unfold_hint_entry(bool unfold_c, bool add, name const & n, unsigned idx):
m_unfold_c(unfold_c), m_add(add), m_decl_name(n), m_arg_idx(idx) {}
unfold_hint_entry():m_kind(UnfoldC), m_add(false), m_arg_idx(0) {}
unfold_hint_entry(kind k, bool add, name const & n, unsigned idx):
m_kind(k), m_add(add), m_decl_name(n), m_arg_idx(idx) {}
};
unfold_hint_entry mk_add_unfold_c_entry(name const & n, unsigned idx) { return unfold_hint_entry(true, true, n, idx); }
unfold_hint_entry mk_erase_unfold_c_entry(name const & n) { return unfold_hint_entry(true, false, n, 0); }
unfold_hint_entry mk_add_unfold_f_entry(name const & n) { return unfold_hint_entry(false, true, n, 0); }
unfold_hint_entry mk_erase_unfold_f_entry(name const & n) { return unfold_hint_entry(false, false, n, 0); }
unfold_hint_entry mk_add_unfold_c_entry(name const & n, unsigned idx) { return unfold_hint_entry(unfold_hint_entry::UnfoldC, true, n, idx); }
unfold_hint_entry mk_erase_unfold_c_entry(name const & n) { return unfold_hint_entry(unfold_hint_entry::UnfoldC, false, n, 0); }
unfold_hint_entry mk_add_unfold_f_entry(name const & n) { return unfold_hint_entry(unfold_hint_entry::UnfoldF, true, n, 0); }
unfold_hint_entry mk_erase_unfold_f_entry(name const & n) { return unfold_hint_entry(unfold_hint_entry::UnfoldF, false, n, 0); }
unfold_hint_entry mk_add_unfold_m_entry(name const & n) { return unfold_hint_entry(unfold_hint_entry::UnfoldM, true, n, 0); }
unfold_hint_entry mk_erase_unfold_m_entry(name const & n) { return unfold_hint_entry(unfold_hint_entry::UnfoldM, false, n, 0); }
static name * g_unfold_hint_name = nullptr;
static std::string * g_key = nullptr;
@ -46,6 +50,7 @@ static std::string * g_key = nullptr;
struct unfold_hint_state {
name_map<unsigned> m_unfold_c;
name_set m_unfold_f;
name_set m_unfold_m;
};
struct unfold_hint_config {
@ -53,16 +58,25 @@ struct unfold_hint_config {
typedef unfold_hint_entry entry;
static void add_entry(environment const &, io_state const &, state & s, entry const & e) {
if (e.m_unfold_c) {
switch (e.m_kind) {
case unfold_hint_entry::UnfoldC:
if (e.m_add)
s.m_unfold_c.insert(e.m_decl_name, e.m_arg_idx);
else
s.m_unfold_c.erase(e.m_decl_name);
} else {
break;
case unfold_hint_entry::UnfoldF:
if (e.m_add)
s.m_unfold_f.insert(e.m_decl_name);
else
s.m_unfold_f.erase(e.m_decl_name);
break;
case unfold_hint_entry::UnfoldM:
if (e.m_add)
s.m_unfold_m.insert(e.m_decl_name);
else
s.m_unfold_m.erase(e.m_decl_name);
break;
}
}
static name const & get_class_name() {
@ -72,11 +86,13 @@ struct unfold_hint_config {
return *g_key;
}
static void write_entry(serializer & s, entry const & e) {
s << e.m_unfold_c << e.m_add << e.m_decl_name << e.m_arg_idx;
s << static_cast<char>(e.m_kind) << e.m_add << e.m_decl_name << e.m_arg_idx;
}
static entry read_entry(deserializer & d) {
char k;
entry e;
d >> e.m_unfold_c >> e.m_add >> e.m_decl_name >> e.m_arg_idx;
d >> k >> e.m_add >> e.m_decl_name >> e.m_arg_idx;
e.m_kind = static_cast<unfold_hint_entry::kind>(k);
return e;
}
static optional<unsigned> get_fingerprint(entry const & e) {
@ -122,6 +138,22 @@ environment erase_unfold_f_hint(environment const & env, name const & n, bool pe
return unfold_hint_ext::add_entry(env, get_dummy_ios(), mk_erase_unfold_f_entry(n), persistent);
}
environment add_unfold_m_hint(environment const & env, name const & n, bool persistent) {
declaration const & d = env.get(n);
if (!d.is_definition() || d.is_opaque())
throw exception("invalid unfold-m hint, declaration must be a non-opaque definition");
return unfold_hint_ext::add_entry(env, get_dummy_ios(), mk_add_unfold_m_entry(n), persistent);
}
bool has_unfold_m_hint(environment const & env, name const & d) {
unfold_hint_state const & s = unfold_hint_ext::get_state(env);
return s.m_unfold_m.contains(d);
}
environment erase_unfold_m_hint(environment const & env, name const & n, bool persistent) {
return unfold_hint_ext::add_entry(env, get_dummy_ios(), mk_erase_unfold_m_entry(n), persistent);
}
void initialize_normalize() {
g_unfold_hint_name = new name("unfold-hints");
g_key = new std::string("unfoldh");
@ -159,6 +191,40 @@ class normalize_fn {
return is_constant(f) && ::lean::has_unfold_f_hint(m_tc.env(), const_name(f));
}
optional<expr> is_constructor_like(expr const & e) {
if (is_constructor_app(m_tc.env(), e))
return some_expr(e);
expr const & f = get_app_fn(e);
if (is_constant(f) && has_unfold_m_hint(m_tc.env(), const_name(f))) {
return unfold_app(m_tc.env(), e);
} else {
return none_expr();
}
}
optional<expr> unfold_recursor_core(expr const & f, unsigned idx, buffer<expr> & args, bool is_rec) {
if (idx < args.size()) {
expr & arg = args[args.size() - idx - 1];
if (optional<expr> new_arg = is_constructor_like(arg)) {
flet<expr> set_arg(arg, *new_arg);
expr new_app = mk_rev_app(f, args);
if (is_rec)
return some_expr(normalize(new_app));
else if (optional<expr> r = unfold_app(m_tc.env(), new_app))
return some_expr(normalize(*r));
}
}
return none_expr();
}
optional<expr> unfold_recursor_like(expr const & f, unsigned idx, buffer<expr> & args) {
return unfold_recursor_core(f, idx, args, false);
}
optional<expr> unfold_recursor_major(expr const & f, unsigned idx, buffer<expr> & args) {
return unfold_recursor_core(f, idx, args, true);
}
expr normalize_app(expr const & e) {
buffer<expr> args;
bool modified = false;
@ -176,9 +242,13 @@ class normalize_fn {
}
}
if (auto idx = has_unfold_c_hint(f)) {
if (*idx < args.size() && is_constructor_app(m_tc.env(), args[args.size() - *idx - 1])) {
if (optional<expr> r = unfold_app(m_tc.env(), mk_rev_app(f, args)))
return normalize(*r);
if (auto r = unfold_recursor_like(f, *idx, args))
return *r;
}
if (is_constant(f)) {
if (auto idx = inductive::get_elim_major_idx(m_tc.env(), const_name(f))) {
if (auto r = unfold_recursor_major(f, *idx, args))
return *r;
}
}
if (!modified)

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@ -52,6 +52,14 @@ environment erase_unfold_f_hint(environment const & env, name const & n, bool pe
/** \brief Retrieve the hint added with the procedure add_unfold_f_hint. */
optional<unsigned> has_unfold_f_hint(environment const & env, name const & d);
/** \brief unfold-m hint instructs normalizer (and simplifier) that function application
(f ...) should be unfolded when it is the major premise of a constructor like operator */
environment add_unfold_m_hint(environment const & env, name const & n, bool persistent = true);
environment erase_unfold_m_hint(environment const & env, name const & n, bool persistent = true);
/** \brief Retrieve the hint added with the procedure add_unfold_m_hint. */
optional<unsigned> has_unfold_m_hint(environment const & env, name const & d);
void initialize_normalize();
void finalize_normalize();
}

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@ -0,0 +1,21 @@
definition rr [unfold-m] {A : Type} {a : A} := eq.refl a
constants f g : Π {A : Type}, A → A
example (A : Type) (a b : A) (C : A → Type) (H : C a) (f g : C a → C a) : f = g → f (eq.rec H rr) = g H :=
begin
intros,
esimp,
state,
congruence,
assumption
end
example (A : Type) (a b : A) (C : A → Type) (H : C a) (f g : C a → C a) : f = g → f (eq.rec_on rr H) = g H :=
begin
intros,
esimp,
state,
congruence,
assumption
end