feat(kernel/inductive): store computational rules in an environment extension
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
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1 changed files with 60 additions and 14 deletions
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@ -7,6 +7,7 @@ Author: Leonardo de Moura
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#include "util/name_generator.h"
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#include "util/sstream.h"
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#include "util/list_fn.h"
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#include "util/rb_map.h"
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#include "kernel/type_checker.h"
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#include "kernel/kernel_exception.h"
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#include "kernel/instantiate.h"
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@ -14,18 +15,7 @@ Author: Leonardo de Moura
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#include "kernel/inductive/inductive.h"
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#include "kernel/find_fn.h"
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namespace lean {
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namespace inductive {
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static name g_tmp_prefix = name::mk_internal_unique_name();
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environment add_inductive(environment const & env, name const & ind_name, level_param_names const & level_params,
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unsigned num_params, expr const & type, list<intro_rule> const & intro_rules) {
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return add_inductive(env, level_params, num_params, list<inductive_decl>(inductive_decl(ind_name, type, intro_rules)));
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}
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/**
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\brief Helper functional object for processing inductive datatype declarations.
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/*
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The implementation is based on the paper: "Inductive Families", Peter Dybjer, 1997
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The main differences are:
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- Support for Bool/Prop (when environment is marked as impredicative)
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@ -96,8 +86,56 @@ environment add_inductive(environment const & env, name const & ind_name, level_
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Finally, this module also generate computational rules for the extended normalizer. Actually, we only generate
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the right hand side for the rules.
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the right hand side for the rules. They have the form
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Fun (A, C, e, b, u), elim_k A C e p[A,b] (intro_k_i A b u) ==>
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Fun (A, C, e, b, u), (e_k_i b u v)
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*/
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namespace lean {
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namespace inductive {
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static name g_tmp_prefix = name::mk_internal_unique_name();
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/** \brief Environment extension used to store the computational rules associated with inductive datatype declarations. */
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struct inductive_env_ext : public environment_extension {
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struct comp_rule {
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level_param_names m_level_names; // level parameter names used in computational rule
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unsigned m_num_params; // number of global parameters A
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unsigned m_num_ACe; // sum of number of global parameters A, type formers C, and minor preimises e.
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unsigned m_num_bu; // sum of number of arguments u and v in the corresponding introduction rule.
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expr m_comp_rhs; // computational rule RHS
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comp_rule(level_param_names const & ls, unsigned num_ps, unsigned num_ace, unsigned num_bu, expr const & rhs):
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m_level_names(ls), m_num_params(num_ps), m_num_ACe(num_ace), m_num_bu(num_bu), m_comp_rhs(rhs) {}
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};
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// mapping from introduction rule name to computation rule data
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rb_map<name, comp_rule, name_quick_cmp> m_com_rules;
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inductive_env_ext() {}
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void add(name const & n, level_param_names const & ls, unsigned num_ps, unsigned num_ace, unsigned num_bu, expr const & rhs) {
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m_com_rules.insert(n, comp_rule(ls, num_ps, num_ace, num_bu, rhs));
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}
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};
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/** \brief Auxiliary object for registering the environment extension */
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struct inductive_env_ext_reg {
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unsigned m_ext_id;
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inductive_env_ext_reg() { m_ext_id = environment::register_extension(std::make_shared<inductive_env_ext>()); }
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};
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static inductive_env_ext_reg g_ext;
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/** \brief Retrieve environment extension */
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static inductive_env_ext const & get_extension(environment const & env) {
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return static_cast<inductive_env_ext const &>(env.get_extension(g_ext.m_ext_id));
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}
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/** \brief Update environment extension */
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static environment update(environment const & env, inductive_env_ext const & ext) {
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return env.update(g_ext.m_ext_id, std::make_shared<inductive_env_ext>(ext));
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}
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/** \brief Helper functional object for processing inductive datatype declarations. */
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struct add_inductive_fn {
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environment m_env;
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level_param_names m_level_names; // universe level parameters
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@ -568,6 +606,7 @@ struct add_inductive_fn {
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buffer<expr> C; collect_Cs(C);
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buffer<expr> e; collect_minor_premises(e);
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levels ls = get_elim_level_params();
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inductive_env_ext ext(get_extension(m_env));
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for (auto d : m_decls) {
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for (auto ir : inductive_decl_intros(d)) {
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buffer<expr> b;
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@ -608,11 +647,13 @@ struct add_inductive_fn {
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expr e_app = mk_app(mk_app(mk_app(e[minor_idx], b), u), v);
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expr comp_rhs = Fun(m_param_consts, Fun(C, Fun(e, Fun(b, Fun(u, e_app)))));
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m_tc.check(comp_rhs, get_elim_level_param_names());
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// TODO(Leo): store computational rule RHS
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ext.add(intro_rule_name(ir), get_elim_level_param_names(),
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m_num_params, m_num_params + C.size() + e.size(), b.size() + u.size(), comp_rhs);
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minor_idx++;
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}
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d_idx++;
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}
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m_env = update(m_env, ext);
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}
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environment operator()() {
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@ -634,5 +675,10 @@ environment add_inductive(environment env,
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list<inductive_decl> const & decls) {
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return add_inductive_fn(env, level_params, num_params, decls)();
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}
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environment add_inductive(environment const & env, name const & ind_name, level_param_names const & level_params,
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unsigned num_params, expr const & type, list<intro_rule> const & intro_rules) {
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return add_inductive(env, level_params, num_params, list<inductive_decl>(inductive_decl(ind_name, type, intro_rules)));
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}
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}
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}
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