870 lines
34 KiB
C++
870 lines
34 KiB
C++
/*
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Copyright (c) 2014-2015 Microsoft Corporation. All rights reserved.
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Released under Apache 2.0 license as described in the file LICENSE.
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Author: Leonardo de Moura
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*/
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#include <algorithm>
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#include <string>
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#include "util/sstream.h"
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#include "util/sexpr/option_declarations.h"
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#include "kernel/type_checker.h"
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#include "kernel/instantiate.h"
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#include "library/scoped_ext.h"
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#include "library/aliases.h"
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#include "library/protected.h"
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#include "library/constants.h"
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#include "library/normalize.h"
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#include "library/class.h"
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#include "library/flycheck.h"
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#include "library/abbreviation.h"
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#include "library/user_recursors.h"
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#include "library/pp_options.h"
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#include "library/aux_recursors.h"
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#include "library/private.h"
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#include "library/fun_info_manager.h"
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#include "library/congr_lemma_manager.h"
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#include "library/abstract_expr_manager.h"
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#include "library/definitional/projection.h"
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#include "library/blast/blast.h"
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#include "library/blast/simplifier/simplifier.h"
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#include "compiler/preprocess_rec.h"
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#include "frontends/lean/util.h"
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#include "frontends/lean/parser.h"
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#include "frontends/lean/calc.h"
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#include "frontends/lean/notation_cmd.h"
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#include "frontends/lean/inductive_cmd.h"
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#include "frontends/lean/structure_cmd.h"
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#include "frontends/lean/print_cmd.h"
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#include "frontends/lean/find_cmd.h"
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#include "frontends/lean/begin_end_ext.h"
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#include "frontends/lean/decl_cmds.h"
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#include "frontends/lean/tactic_hint.h"
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#include "frontends/lean/tokens.h"
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#include "frontends/lean/parse_table.h"
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namespace lean {
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environment section_cmd(parser & p) {
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name n;
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if (p.curr_is_identifier())
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n = p.check_atomic_id_next("invalid section, atomic identifier expected");
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p.push_local_scope();
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return push_scope(p.env(), p.ios(), scope_kind::Section, n);
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}
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environment namespace_cmd(parser & p) {
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auto pos = p.pos();
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name n = p.check_atomic_id_next("invalid namespace declaration, atomic identifier expected");
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if (is_root_namespace(n))
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throw parser_error(sstream() << "invalid namespace name, '" << n << "' is reserved", pos);
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p.push_local_scope();
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return push_scope(p.env(), p.ios(), scope_kind::Namespace, n);
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}
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static environment redeclare_aliases(environment env, parser & p,
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list<pair<name, level>> old_level_entries,
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list<pair<name, expr>> old_entries) {
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environment const & old_env = p.env();
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if (!in_section(old_env))
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return env;
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list<pair<name, expr>> new_entries = p.get_local_entries();
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buffer<pair<name, expr>> to_redeclare;
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unsigned new_len = length(new_entries);
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unsigned old_len = length(old_entries);
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lean_assert(old_len >= new_len);
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name_set popped_locals;
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while (old_len > new_len) {
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pair<name, expr> entry = head(old_entries);
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if (is_local_ref(entry.second))
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to_redeclare.push_back(entry);
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else if (is_local(entry.second))
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popped_locals.insert(mlocal_name(entry.second));
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old_entries = tail(old_entries);
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old_len--;
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}
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name_set popped_levels;
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list<pair<name, level>> new_level_entries = p.get_local_level_entries();
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while (!is_eqp(old_level_entries, new_level_entries)) {
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level const & l = head(old_level_entries).second;
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if (is_param(l))
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popped_levels.insert(param_id(l));
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old_level_entries = tail(old_level_entries);
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}
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for (auto const & entry : to_redeclare) {
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expr new_ref = update_local_ref(entry.second, popped_levels, popped_locals);
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if (!is_constant(new_ref))
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env = p.add_local_ref(env, entry.first, new_ref);
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}
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return env;
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}
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environment end_scoped_cmd(parser & p) {
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list<pair<name, level>> level_entries = p.get_local_level_entries();
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list<pair<name, expr>> entries = p.get_local_entries();
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p.pop_local_scope();
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if (p.curr_is_identifier()) {
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name n = p.check_atomic_id_next("invalid end of scope, atomic identifier expected");
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environment env = pop_scope(p.env(), p.ios(), n);
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return redeclare_aliases(env, p, level_entries, entries);
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} else {
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environment env = pop_scope(p.env(), p.ios());
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return redeclare_aliases(env, p, level_entries, entries);
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}
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}
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environment check_cmd(parser & p) {
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expr e; level_param_names ls;
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std::tie(e, ls) = parse_local_expr(p);
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e = expand_abbreviations(p.env(), e);
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auto tc = mk_type_checker(p.env(), p.mk_ngen());
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expr type = tc->check(e, ls).first;
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auto reg = p.regular_stream();
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formatter fmt = reg.get_formatter();
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options opts = p.ios().get_options();
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opts = opts.update_if_undef(get_pp_metavar_args_name(), true);
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fmt = fmt.update_options(opts);
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unsigned indent = get_pp_indent(opts);
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format r = group(fmt(e) + space() + colon() + nest(indent, line() + fmt(type)));
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flycheck_information info(p.regular_stream());
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if (info.enabled()) {
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p.display_information_pos(p.cmd_pos());
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p.regular_stream() << "check result:\n";
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}
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reg << mk_pair(r, opts) << endl;
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return p.env();
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}
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environment eval_cmd(parser & p) {
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bool whnf = false;
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if (p.curr_is_token(get_whnf_tk())) {
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p.next();
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whnf = true;
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}
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expr e; level_param_names ls;
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std::tie(e, ls) = parse_local_expr(p);
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expr r;
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if (whnf) {
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auto tc = mk_type_checker(p.env(), p.mk_ngen());
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r = tc->whnf(e).first;
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} else {
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type_checker tc(p.env());
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bool eta = false;
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bool eval_nested_prop = false;
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r = normalize(tc, ls, e, eta, eval_nested_prop);
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}
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flycheck_information info(p.regular_stream());
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if (info.enabled()) {
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p.display_information_pos(p.cmd_pos());
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p.regular_stream() << "eval result:\n";
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}
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p.regular_stream() << r << endl;
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return p.env();
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}
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environment exit_cmd(parser & p) {
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flycheck_warning wrn(p.regular_stream());
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p.display_warning_pos(p.cmd_pos());
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p.regular_stream() << " using 'exit' to interrupt Lean" << endl;
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throw interrupt_parser();
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}
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environment set_option_cmd(parser & p) {
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auto id_kind = parse_option_name(p, "invalid set option, identifier (i.e., option name) expected");
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name id = id_kind.first;
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option_kind k = id_kind.second;
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if (k == BoolOption) {
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if (p.curr_is_token_or_id(get_true_tk()))
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p.set_option(id, true);
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else if (p.curr_is_token_or_id(get_false_tk()))
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p.set_option(id, false);
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else
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throw parser_error("invalid Boolean option value, 'true' or 'false' expected", p.pos());
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p.next();
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} else if (k == StringOption) {
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if (!p.curr_is_string())
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throw parser_error("invalid option value, given option is not a string", p.pos());
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p.set_option(id, p.get_str_val());
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p.next();
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} else if (k == DoubleOption) {
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p.set_option(id, p.parse_double());
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} else if (k == UnsignedOption || k == IntOption) {
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p.set_option(id, p.parse_small_nat());
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} else {
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throw parser_error("invalid option value, 'true', 'false', string, integer or decimal value expected", p.pos());
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}
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p.updt_options();
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environment env = p.env();
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return update_fingerprint(env, p.get_options().hash());
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}
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static bool is_next_metaclass_tk(parser const & p) {
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return p.curr_is_token(get_lbracket_tk()) || p.curr_is_token(get_unfold_hints_bracket_tk());
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}
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static optional<name> parse_metaclass(parser & p) {
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if (p.curr_is_token(get_lbracket_tk())) {
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p.next();
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auto pos = p.pos();
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name n;
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while (!p.curr_is_token(get_rbracket_tk())) {
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if (p.curr_is_identifier())
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n = n.append_after(p.get_name_val().to_string().c_str());
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else if (p.curr_is_keyword() || p.curr_is_command())
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n = n.append_after(p.get_token_info().value().to_string().c_str());
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else if (p.curr_is_token(get_sub_tk()))
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n = n.append_after("-");
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else
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throw parser_error("invalid 'open' command, identifier or symbol expected", pos);
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p.next();
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}
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p.check_token_next(get_rbracket_tk(), "invalid 'open' command, ']' expected");
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if (!is_metaclass(n) && n != get_decl_tk() && n != get_declaration_tk())
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throw parser_error(sstream() << "invalid metaclass name '[" << n << "]'", pos);
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return optional<name>(n);
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} else if (p.curr() == scanner::token_kind::CommandKeyword) {
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// Meta-classes whose name conflict with tokens of the form `[<id>]` `[<id>`
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// Example: [class] and [unfold
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name v = p.get_token_info().value();
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if (v.is_atomic() && v.is_string() && v.size() > 1 && v.get_string()[0] == '[') {
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auto pos = p.pos();
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p.next();
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std::string s(v.get_string() + 1);
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if (v.get_string()[v.size()-1] == ']')
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s.pop_back();
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name n(s);
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if (!is_metaclass(n) && n != get_decl_tk() && n != get_declaration_tk())
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throw parser_error(sstream() << "invalid metaclass name '[" << n << "]'", pos);
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if (v.get_string()[v.size()-1] != ']') {
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// Consume ']' for tokens such as `[unfold`
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p.check_token_next(get_rbracket_tk(), "invalid 'open' command, ']' expected");
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}
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return optional<name>(n);
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}
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}
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return optional<name>();
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}
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static void parse_metaclasses(parser & p, buffer<name> & r) {
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if (p.curr_is_token(get_sub_tk())) {
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p.next();
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buffer<name> tmp;
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get_metaclasses(tmp);
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tmp.push_back(get_decl_tk());
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while (true) {
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if (optional<name> m = parse_metaclass(p)) {
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tmp.erase_elem(*m);
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if (*m == get_declaration_tk())
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tmp.erase_elem(get_decl_tk());
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} else {
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break;
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}
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}
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r.append(tmp);
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} else {
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while (true) {
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if (optional<name> m = parse_metaclass(p)) {
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r.push_back(*m);
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} else {
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break;
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}
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}
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}
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}
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static void check_identifier(parser & p, environment const & env, name const & ns, name const & id) {
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name full_id = ns + id;
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if (!env.find(full_id))
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throw parser_error(sstream() << "invalid 'open' command, unknown declaration '" << full_id << "'", p.pos());
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}
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// add id as an abbreviation for d
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static environment add_abbrev(parser & p, environment const & env, name const & id, name const & d) {
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declaration decl = env.get(d);
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buffer<level> ls;
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for (name const & l : decl.get_univ_params())
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ls.push_back(mk_param_univ(l));
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expr value = mk_constant(d, to_list(ls.begin(), ls.end()));
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name const & ns = get_namespace(env);
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name full_id = ns + id;
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p.add_abbrev_index(full_id, d);
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environment new_env =
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module::add(env, check(env, mk_definition(env, full_id, decl.get_univ_params(), decl.get_type(), value)));
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if (full_id != id)
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new_env = add_expr_alias_rec(new_env, id, full_id);
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return new_env;
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}
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// open/export [class] id (as id)? (id ...) (renaming id->id id->id) (hiding id ... id)
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environment open_export_cmd(parser & p, bool open) {
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environment env = p.env();
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unsigned fingerprint = 0;
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while (true) {
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buffer<name> metacls;
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parse_metaclasses(p, metacls);
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bool decls = false;
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if (metacls.empty() ||
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std::find(metacls.begin(), metacls.end(), get_decl_tk()) != metacls.end() ||
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std::find(metacls.begin(), metacls.end(), get_declaration_tk()) != metacls.end())
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decls = true;
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for (name const & n : metacls)
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fingerprint = hash(fingerprint, n.hash());
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auto pos = p.pos();
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name ns = p.check_id_next("invalid 'open/export' command, identifier expected");
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optional<name> real_ns = to_valid_namespace_name(env, ns);
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if (!real_ns)
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throw parser_error(sstream() << "invalid namespace name '" << ns << "'", pos);
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ns = *real_ns;
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fingerprint = hash(fingerprint, ns.hash());
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name as;
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if (p.curr_is_token_or_id(get_as_tk())) {
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p.next();
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as = p.check_id_next("invalid 'open/export' command, identifier expected");
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}
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if (open)
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env = using_namespace(env, p.ios(), ns, metacls);
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else
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env = export_namespace(env, p.ios(), ns, metacls);
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if (decls) {
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// Remark: we currently to not allow renaming and hiding of universe levels
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env = mark_namespace_as_open(env, ns);
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buffer<name> exceptions;
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bool found_explicit = false;
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while (p.curr_is_token(get_lparen_tk())) {
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p.next();
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if (p.curr_is_token_or_id(get_renaming_tk())) {
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p.next();
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while (p.curr_is_identifier()) {
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name from_id = p.get_name_val();
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p.next();
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p.check_token_next(get_arrow_tk(), "invalid 'open/export' command renaming, '->' expected");
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name to_id = p.check_id_next("invalid 'open/export' command renaming, identifier expected");
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fingerprint = hash(hash(fingerprint, from_id.hash()), to_id.hash());
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check_identifier(p, env, ns, from_id);
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exceptions.push_back(from_id);
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if (open)
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env = add_expr_alias(env, as+to_id, ns+from_id);
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else
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env = add_abbrev(p, env, as+to_id, ns+from_id);
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}
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} else if (p.curr_is_token_or_id(get_hiding_tk())) {
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p.next();
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while (p.curr_is_identifier()) {
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name id = p.get_name_val();
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p.next();
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check_identifier(p, env, ns, id);
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exceptions.push_back(id);
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fingerprint = hash(fingerprint, id.hash());
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}
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} else if (p.curr_is_identifier()) {
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found_explicit = true;
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while (p.curr_is_identifier()) {
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name id = p.get_name_val();
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p.next();
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fingerprint = hash(fingerprint, id.hash());
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check_identifier(p, env, ns, id);
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if (open)
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env = add_expr_alias(env, as+id, ns+id);
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else
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env = add_abbrev(p, env, as+id, ns+id);
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}
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} else {
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throw parser_error("invalid 'open/export' command option, "
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"identifier, 'hiding' or 'renaming' expected", p.pos());
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}
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if (found_explicit && !exceptions.empty())
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throw parser_error("invalid 'open/export' command option, "
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"mixing explicit and implicit 'open/export' options", p.pos());
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p.check_token_next(get_rparen_tk(), "invalid 'open/export' command option, ')' expected");
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}
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if (!found_explicit) {
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if (open) {
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env = add_aliases(env, ns, as, exceptions.size(), exceptions.data());
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} else {
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environment new_env = env;
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env.for_each_declaration([&](declaration const & d) {
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if (!is_protected(env, d.get_name()) &&
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is_prefix_of(ns, d.get_name()) &&
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!is_exception(d.get_name(), ns, exceptions.size(), exceptions.data())) {
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name new_id = d.get_name().replace_prefix(ns, as);
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if (!new_id.is_anonymous())
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new_env = add_abbrev(p, new_env, new_id, d.get_name());
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}
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});
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env = new_env;
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}
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}
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}
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if (!is_next_metaclass_tk(p) && !p.curr_is_identifier())
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break;
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}
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return update_fingerprint(env, fingerprint);
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}
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static environment open_cmd(parser & p) { return open_export_cmd(p, true); }
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static environment export_cmd(parser & p) { return open_export_cmd(p, false); }
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static environment override_cmd(parser & p) {
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environment env = p.env();
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while (p.curr_is_identifier()) {
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auto pos = p.pos();
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name ns = p.check_id_next("invalid 'override' command, identifier expected");
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optional<name> real_ns = to_valid_namespace_name(env, ns);
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if (!real_ns)
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throw parser_error(sstream() << "invalid namespace name '" << ns << "'", pos);
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ns = *real_ns;
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bool persistent = false;
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env = override_notation(env, ns, persistent);
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env = overwrite_aliases(env, ns, name());
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env = update_fingerprint(env, ns.hash());
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}
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return env;
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}
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static environment erase_cache_cmd(parser & p) {
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name n = p.check_id_next("invalid #erase_cache command, identifier expected");
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p.erase_cached_definition(n);
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return p.env();
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}
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static environment projections_cmd(parser & p) {
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name n = p.check_id_next("invalid #projections command, identifier expected");
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if (p.curr_is_token(get_dcolon_tk())) {
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p.next();
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buffer<name> proj_names;
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while (p.curr_is_identifier()) {
|
|
proj_names.push_back(n + p.get_name_val());
|
|
p.next();
|
|
}
|
|
return mk_projections(p.env(), n, proj_names);
|
|
} else {
|
|
return mk_projections(p.env(), n);
|
|
}
|
|
}
|
|
|
|
static environment telescope_eq_cmd(parser & p) {
|
|
expr e; level_param_names ls;
|
|
std::tie(e, ls) = parse_local_expr(p);
|
|
buffer<expr> t;
|
|
while (is_pi(e)) {
|
|
expr local = mk_local(p.mk_fresh_name(), binding_name(e), binding_domain(e), binder_info());
|
|
t.push_back(local);
|
|
e = instantiate(binding_body(e), local);
|
|
}
|
|
auto tc = mk_type_checker(p.env(), p.mk_ngen());
|
|
buffer<expr> eqs;
|
|
mk_telescopic_eq(*tc, t, eqs);
|
|
for (expr const & eq : eqs) {
|
|
regular(p.env(), p.ios()) << local_pp_name(eq) << " : " << mlocal_type(eq) << "\n";
|
|
tc->check(mlocal_type(eq), ls);
|
|
}
|
|
return p.env();
|
|
}
|
|
|
|
static environment local_cmd(parser & p) {
|
|
if (p.curr_is_token_or_id(get_attribute_tk())) {
|
|
p.next();
|
|
return local_attribute_cmd(p);
|
|
} else if (p.curr_is_token(get_abbreviation_tk())) {
|
|
p.next();
|
|
return local_abbreviation_cmd(p);
|
|
} else {
|
|
return local_notation_cmd(p);
|
|
}
|
|
}
|
|
|
|
static environment help_cmd(parser & p) {
|
|
flycheck_information info(p.regular_stream());
|
|
if (info.enabled()) {
|
|
p.display_information_pos(p.cmd_pos());
|
|
p.regular_stream() << "help result:\n";
|
|
}
|
|
if (p.curr_is_token_or_id(get_options_tk())) {
|
|
p.next();
|
|
for (auto odecl : get_option_declarations()) {
|
|
auto opt = odecl.second;
|
|
regular(p.env(), p.ios())
|
|
<< " " << opt.get_name() << " (" << opt.kind() << ") "
|
|
<< opt.get_description() << " (default: " << opt.get_default_value() << ")" << endl;
|
|
}
|
|
} else if (p.curr_is_token_or_id(get_commands_tk())) {
|
|
p.next();
|
|
buffer<name> ns;
|
|
cmd_table const & cmds = p.cmds();
|
|
cmds.for_each([&](name const & n, cmd_info const &) {
|
|
ns.push_back(n);
|
|
});
|
|
std::sort(ns.begin(), ns.end());
|
|
for (name const & n : ns) {
|
|
regular(p.env(), p.ios())
|
|
<< " " << n << ": " << cmds.find(n)->get_descr() << endl;
|
|
};
|
|
} else {
|
|
p.regular_stream()
|
|
<< "help options : describe available options\n"
|
|
<< "help commands : describe available commands\n";
|
|
}
|
|
return p.env();
|
|
}
|
|
|
|
static environment init_quotient_cmd(parser & p) {
|
|
if (!(p.env().prop_proof_irrel() && p.env().impredicative()))
|
|
throw parser_error("invalid init_quotient command, this command is only available for kernels containing an impredicative and proof irrelevant Prop", p.cmd_pos());
|
|
return module::declare_quotient(p.env());
|
|
}
|
|
|
|
static environment init_hits_cmd(parser & p) {
|
|
if (p.env().prop_proof_irrel() || p.env().impredicative())
|
|
throw parser_error("invalid init_hits command, this command is only available for proof relevant and predicative kernels", p.cmd_pos());
|
|
return module::declare_hits(p.env());
|
|
}
|
|
|
|
static environment compile_cmd(parser & p) {
|
|
name n = p.check_constant_next("invalid #compile command, constant expected");
|
|
declaration d = p.env().get(n);
|
|
buffer<name> aux_decls;
|
|
preprocess_rec(p.env(), d, aux_decls);
|
|
return p.env();
|
|
}
|
|
|
|
static environment accessible_cmd(parser & p) {
|
|
environment const & env = p.env();
|
|
unsigned total = 0;
|
|
unsigned accessible = 0;
|
|
unsigned accessible_theorems = 0;
|
|
env.for_each_declaration([&](declaration const & d) {
|
|
name const & n = d.get_name();
|
|
total++;
|
|
if ((d.is_theorem() || d.is_definition()) &&
|
|
!is_instance(env, n) && !is_simp_lemma(env, n) && !is_congr_lemma(env, n) &&
|
|
!is_user_defined_recursor(env, n) && !is_aux_recursor(env, n) &&
|
|
!is_projection(env, n) && !is_private(env, n) &&
|
|
!is_user_defined_recursor(env, n) && !is_aux_recursor(env, n) &&
|
|
!is_subst_relation(env, n) && !is_trans_relation(env, n) &&
|
|
!is_symm_relation(env, n) && !is_refl_relation(env, n)) {
|
|
accessible++;
|
|
if (d.is_theorem())
|
|
accessible_theorems++;
|
|
}
|
|
});
|
|
p.regular_stream() << "total: " << total << ", accessible: " << accessible << ", accessible theorems: " << accessible_theorems << "\n";
|
|
return env;
|
|
}
|
|
|
|
static void check_expr_and_print(parser & p, expr const & e) {
|
|
environment const & env = p.env();
|
|
type_checker tc(env);
|
|
expr t = tc.check_ignore_undefined_universes(e).first;
|
|
p.regular_stream() << e << " : " << t << "\n";
|
|
}
|
|
|
|
static environment app_builder_cmd(parser & p) {
|
|
environment const & env = p.env();
|
|
auto pos = p.pos();
|
|
app_builder b(env);
|
|
name c = p.check_constant_next("invalid #app_builder command, constant expected");
|
|
bool has_mask = false;
|
|
buffer<bool> mask;
|
|
if (p.curr_is_token(get_lbracket_tk())) {
|
|
p.next();
|
|
has_mask = true;
|
|
while (true) {
|
|
name flag = p.check_constant_next("invalid #app_builder command, constant (true, false) expected");
|
|
mask.push_back(flag == get_true_name());
|
|
if (!p.curr_is_token(get_comma_tk()))
|
|
break;
|
|
p.next();
|
|
}
|
|
p.check_token_next(get_rbracket_tk(), "invalid #app_builder command, ']' expected");
|
|
}
|
|
|
|
buffer<expr> args;
|
|
while (true) {
|
|
expr e; level_param_names ls;
|
|
std::tie(e, ls) = parse_local_expr(p);
|
|
args.push_back(e);
|
|
if (!p.curr_is_token(get_comma_tk()))
|
|
break;
|
|
p.next();
|
|
}
|
|
|
|
if (has_mask && args.size() > mask.size())
|
|
throw parser_error(sstream() << "invalid #app_builder command, too many arguments", pos);
|
|
|
|
optional<expr> r;
|
|
if (has_mask)
|
|
r = b.mk_app(c, mask.size(), mask.data(), args.data());
|
|
else
|
|
r = b.mk_app(c, args.size(), args.data());
|
|
|
|
if (r) {
|
|
check_expr_and_print(p, *r);
|
|
} else {
|
|
throw parser_error(sstream() << "failed to build application for '" << c << "'", pos);
|
|
}
|
|
|
|
return env;
|
|
}
|
|
|
|
static environment refl_cmd(parser & p) {
|
|
environment const & env = p.env();
|
|
auto pos = p.pos();
|
|
app_builder b(env);
|
|
name relname = p.check_constant_next("invalid #refl command, constant expected");
|
|
expr e; level_param_names ls;
|
|
std::tie(e, ls) = parse_local_expr(p);
|
|
try {
|
|
expr r = b.mk_refl(relname, e);
|
|
check_expr_and_print(p, r);
|
|
} catch (app_builder_exception &) {
|
|
throw parser_error(sstream() << "failed to build refl proof", pos);
|
|
}
|
|
return env;
|
|
}
|
|
|
|
static environment symm_cmd(parser & p) {
|
|
environment const & env = p.env();
|
|
auto pos = p.pos();
|
|
app_builder b(env);
|
|
name relname = p.check_constant_next("invalid #symm command, constant expected");
|
|
expr e; level_param_names ls;
|
|
std::tie(e, ls) = parse_local_expr(p);
|
|
try {
|
|
expr r = b.mk_symm(relname, e);
|
|
check_expr_and_print(p, r);
|
|
} catch (app_builder_exception &) {
|
|
throw parser_error(sstream() << "failed to build symm proof", pos);
|
|
}
|
|
return env;
|
|
}
|
|
|
|
static environment trans_cmd(parser & p) {
|
|
environment const & env = p.env();
|
|
auto pos = p.pos();
|
|
app_builder b(env);
|
|
name relname = p.check_constant_next("invalid #trans command, constant expected");
|
|
expr H1, H2; level_param_names ls;
|
|
std::tie(H1, ls) = parse_local_expr(p);
|
|
p.check_token_next(get_comma_tk(), "invalid #trans command, ',' expected");
|
|
std::tie(H2, ls) = parse_local_expr(p);
|
|
try {
|
|
expr r = b.mk_trans(relname, H1, H2);
|
|
check_expr_and_print(p, r);
|
|
} catch (app_builder_exception &) {
|
|
throw parser_error(sstream() << "failed to build trans proof", pos);
|
|
}
|
|
return env;
|
|
}
|
|
|
|
enum class congr_kind { Simp, Default, Rel };
|
|
|
|
static environment congr_cmd_core(parser & p, congr_kind kind) {
|
|
environment const & env = p.env();
|
|
auto pos = p.pos();
|
|
expr e; level_param_names ls;
|
|
std::tie(e, ls) = parse_local_expr(p);
|
|
tmp_type_context ctx(env, p.get_options());
|
|
app_builder b(ctx);
|
|
fun_info_manager infom(ctx);
|
|
congr_lemma_manager cm(b, infom);
|
|
optional<congr_lemma> r;
|
|
switch (kind) {
|
|
case congr_kind::Simp: r = cm.mk_congr_simp(e); break;
|
|
case congr_kind::Default: r = cm.mk_congr(e); break;
|
|
case congr_kind::Rel: r = cm.mk_rel_iff_congr(e); break;
|
|
}
|
|
if (!r)
|
|
throw parser_error("failed to generated congruence lemma", pos);
|
|
auto out = p.regular_stream();
|
|
out << "[";
|
|
bool first = true;
|
|
for (auto k : r->get_arg_kinds()) {
|
|
if (!first) out << ", "; else first = false;
|
|
switch (k) {
|
|
case congr_arg_kind::Fixed: out << "fixed"; break;
|
|
case congr_arg_kind::FixedNoParam: out << "fixed-noparm"; break;
|
|
case congr_arg_kind::Eq: out << "eq"; break;
|
|
case congr_arg_kind::HEq: out << "heq"; break;
|
|
case congr_arg_kind::Cast: out << "cast"; break;
|
|
}
|
|
}
|
|
out << "]\n";
|
|
out << r->get_proof() << "\n:\n" << r->get_type() << "\n";;
|
|
type_checker tc(env);
|
|
expr type = tc.check(r->get_proof(), ls).first;
|
|
if (!tc.is_def_eq(type, r->get_type()).first)
|
|
throw parser_error("congruence lemma reported type does not match given type", pos);
|
|
return env;
|
|
}
|
|
|
|
static environment congr_simp_cmd(parser & p) {
|
|
return congr_cmd_core(p, congr_kind::Simp);
|
|
}
|
|
|
|
static environment congr_cmd(parser & p) {
|
|
return congr_cmd_core(p, congr_kind::Default);
|
|
}
|
|
|
|
static environment congr_rel_cmd(parser & p) {
|
|
return congr_cmd_core(p, congr_kind::Rel);
|
|
}
|
|
|
|
static environment hcongr_cmd(parser & p) {
|
|
environment const & env = p.env();
|
|
auto pos = p.pos();
|
|
expr e; level_param_names ls;
|
|
std::tie(e, ls) = parse_local_expr(p);
|
|
tmp_type_context ctx(env, p.get_options());
|
|
app_builder b(ctx);
|
|
fun_info_manager infom(ctx);
|
|
congr_lemma_manager cm(b, infom);
|
|
optional<congr_lemma> r = cm.mk_hcongr(e);
|
|
if (!r)
|
|
throw parser_error("failed to generated heterogeneous congruence lemma", pos);
|
|
auto out = p.regular_stream();
|
|
out << r->get_proof() << "\n:\n" << r->get_type() << "\n";;
|
|
type_checker tc(env);
|
|
expr type = tc.check(r->get_proof(), ls).first;
|
|
if (!tc.is_def_eq(type, r->get_type()).first)
|
|
throw parser_error("heterogeneous congruence lemma reported type does not match given type", pos);
|
|
return env;
|
|
}
|
|
|
|
static environment simplify_cmd(parser & p) {
|
|
name rel = p.check_constant_next("invalid #simplify command, constant expected");
|
|
name ns = p.check_id_next("invalid #simplify command, id expected");
|
|
unsigned o = p.parse_small_nat();
|
|
|
|
expr e; level_param_names ls;
|
|
std::tie(e, ls) = parse_local_expr(p);
|
|
|
|
blast::scope_debug scope(p.env(), p.ios());
|
|
blast::simp_lemmas srss;
|
|
if (ns == name("null")) {
|
|
} else if (ns == name("env")) {
|
|
srss = blast::get_simp_lemmas();
|
|
} else {
|
|
srss = blast::get_simp_lemmas(ns);
|
|
}
|
|
|
|
blast::simp::result r = blast::simplify(rel, e, srss);
|
|
|
|
flycheck_information info(p.regular_stream());
|
|
if (info.enabled()) {
|
|
p.display_information_pos(p.cmd_pos());
|
|
p.regular_stream() << "simplify result:\n";
|
|
}
|
|
|
|
if (!r.has_proof()) {
|
|
p.regular_stream() << "(refl): " << r.get_new() << endl;
|
|
} else {
|
|
auto tc = mk_type_checker(p.env(), p.mk_ngen());
|
|
|
|
expr pf_type = tc->check(r.get_proof(), ls).first;
|
|
|
|
if (o == 0) p.regular_stream() << r.get_new() << endl;
|
|
else if (o == 1) p.regular_stream() << r.get_proof() << endl;
|
|
else p.regular_stream() << pf_type << endl;
|
|
}
|
|
|
|
return p.env();
|
|
}
|
|
|
|
static environment normalizer_cmd(parser & p) {
|
|
environment const & env = p.env();
|
|
expr e; level_param_names ls;
|
|
std::tie(e, ls) = parse_local_expr(p);
|
|
blast::scope_debug scope(p.env(), p.ios());
|
|
expr r = blast::normalize(e);
|
|
p.regular_stream() << r << endl;
|
|
return env;
|
|
}
|
|
|
|
static environment abstract_expr_cmd(parser & p) {
|
|
unsigned o = p.parse_small_nat();
|
|
default_type_context ctx(p.env(), p.get_options());
|
|
app_builder builder(p.env(), p.get_options());
|
|
fun_info_manager fun_info(ctx);
|
|
congr_lemma_manager congr_lemma(builder, fun_info);
|
|
abstract_expr_manager ae_manager(congr_lemma);
|
|
|
|
flycheck_information info(p.regular_stream());
|
|
if (info.enabled()) p.display_information_pos(p.cmd_pos());
|
|
|
|
expr e, a, b;
|
|
level_param_names ls, ls1, ls2;
|
|
if (o == 0) {
|
|
// hash
|
|
if (info.enabled()) p.regular_stream() << "abstract hash: " << endl;
|
|
std::tie(e, ls) = parse_local_expr(p);
|
|
p.regular_stream() << ae_manager.hash(e) << endl;
|
|
} else {
|
|
// is_equal
|
|
if (info.enabled()) p.regular_stream() << "abstract is_equal: " << endl;
|
|
std::tie(a, ls1) = parse_local_expr(p);
|
|
p.check_token_next(get_comma_tk(), "invalid #abstract_expr command, ',' expected");
|
|
std::tie(b, ls2) = parse_local_expr(p);
|
|
p.regular_stream() << ae_manager.is_equal(a, b) << endl;
|
|
}
|
|
return p.env();
|
|
}
|
|
|
|
void init_cmd_table(cmd_table & r) {
|
|
add_cmd(r, cmd_info("open", "create aliases for declarations, and use objects defined in other namespaces",
|
|
open_cmd));
|
|
add_cmd(r, cmd_info("export", "create abbreviations for declarations, "
|
|
"and export objects defined in other namespaces", export_cmd));
|
|
add_cmd(r, cmd_info("override", "override notation declarations using the ones defined in the given namespace",
|
|
override_cmd));
|
|
add_cmd(r, cmd_info("set_option", "set configuration option", set_option_cmd));
|
|
add_cmd(r, cmd_info("exit", "exit", exit_cmd));
|
|
add_cmd(r, cmd_info("print", "print a string", print_cmd));
|
|
add_cmd(r, cmd_info("section", "open a new section", section_cmd));
|
|
add_cmd(r, cmd_info("namespace", "open a new namespace", namespace_cmd));
|
|
add_cmd(r, cmd_info("end", "close the current namespace/section", end_scoped_cmd));
|
|
add_cmd(r, cmd_info("check", "type check given expression, and display its type", check_cmd));
|
|
add_cmd(r, cmd_info("eval", "evaluate given expression", eval_cmd));
|
|
add_cmd(r, cmd_info("find_decl", "find definitions and/or theorems", find_cmd));
|
|
add_cmd(r, cmd_info("local", "define local attributes or notation", local_cmd));
|
|
add_cmd(r, cmd_info("help", "brief description of available commands and options", help_cmd));
|
|
add_cmd(r, cmd_info("init_quotient", "initialize quotient type computational rules", init_quotient_cmd));
|
|
add_cmd(r, cmd_info("init_hits", "initialize builtin HITs", init_hits_cmd));
|
|
add_cmd(r, cmd_info("#erase_cache", "erase cached definition (for debugging purposes)", erase_cache_cmd));
|
|
add_cmd(r, cmd_info("#projections", "generate projections for inductive datatype (for debugging purposes)", projections_cmd));
|
|
add_cmd(r, cmd_info("#telescope_eq", "(for debugging purposes)", telescope_eq_cmd));
|
|
add_cmd(r, cmd_info("#app_builder", "(for debugging purposes)", app_builder_cmd));
|
|
add_cmd(r, cmd_info("#refl", "(for debugging purposes)", refl_cmd));
|
|
add_cmd(r, cmd_info("#trans", "(for debugging purposes)", trans_cmd));
|
|
add_cmd(r, cmd_info("#symm", "(for debugging purposes)", symm_cmd));
|
|
add_cmd(r, cmd_info("#compile", "(for debugging purposes)", compile_cmd));
|
|
add_cmd(r, cmd_info("#congr", "(for debugging purposes)", congr_cmd));
|
|
add_cmd(r, cmd_info("#hcongr", "(for debugging purposes)", hcongr_cmd));
|
|
add_cmd(r, cmd_info("#congr_simp", "(for debugging purposes)", congr_simp_cmd));
|
|
add_cmd(r, cmd_info("#congr_rel", "(for debugging purposes)", congr_rel_cmd));
|
|
add_cmd(r, cmd_info("#normalizer", "(for debugging purposes)", normalizer_cmd));
|
|
add_cmd(r, cmd_info("#accessible", "(for debugging purposes) display number of accessible declarations for blast tactic", accessible_cmd));
|
|
add_cmd(r, cmd_info("#simplify", "(for debugging purposes) simplify given expression", simplify_cmd));
|
|
add_cmd(r, cmd_info("#abstract_expr", "(for debugging purposes) call abstract expr methods", abstract_expr_cmd));
|
|
|
|
register_decl_cmds(r);
|
|
register_inductive_cmd(r);
|
|
register_structure_cmd(r);
|
|
register_notation_cmds(r);
|
|
register_begin_end_cmds(r);
|
|
register_tactic_hint_cmd(r);
|
|
}
|
|
|
|
static cmd_table * g_cmds = nullptr;
|
|
|
|
cmd_table get_builtin_cmds() {
|
|
return *g_cmds;
|
|
}
|
|
|
|
void initialize_builtin_cmds() {
|
|
g_cmds = new cmd_table();
|
|
init_cmd_table(*g_cmds);
|
|
}
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|
|
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void finalize_builtin_cmds() {
|
|
delete g_cmds;
|
|
}
|
|
}
|