/* Copyright (c) 2014 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Author: Leonardo de Moura */ #include #include #include "util/fresh_name.h" #include "util/sstream.h" #include "util/timeit.h" #include "kernel/type_checker.h" #include "kernel/abstract.h" #include "kernel/replace_fn.h" #include "kernel/for_each_fn.h" #include "library/scoped_ext.h" #include "library/aliases.h" #include "library/private.h" #include "library/protected.h" #include "library/noncomputable.h" #include "library/placeholder.h" #include "library/locals.h" #include "library/explicit.h" #include "library/unfold_macros.h" #include "frontends/lean/parser.h" #include "frontends/lean/decl_util.h" #include "frontends/lean/util.h" #include "frontends/lean/tokens.h" #include "frontends/lean/decl_attributes.h" #include "frontends/lean/update_environment_exception.h" #include "frontends/lean/nested_declaration.h" #include "frontends/lean/structure_cmd.h" #include "frontends/lean/definition_cmds.h" #include "frontends/lean/inductive_cmds.h" namespace lean { // TODO(Leo): delete void update_univ_parameters(parser & p, buffer & lp_names, name_set const & found); static environment declare_universe(parser & p, environment env, name const & n, bool local) { if (local) { p.add_local_level(n, mk_param_univ(n), local); } else if (in_section(env)) { p.add_local_level(n, mk_param_univ(n), false); } else { name const & ns = get_namespace(env); name full_n = ns + n; env = module::add_universe(env, full_n); if (!ns.is_anonymous()) env = add_level_alias(env, n, full_n); } return env; } static environment universes_cmd_core(parser & p, bool local) { if (!p.curr_is_identifier()) throw parser_error("invalid 'universes' command, identifier expected", p.pos()); environment env = p.env(); while (p.curr_is_identifier()) { name n = p.get_name_val(); p.next(); env = declare_universe(p, env, n, local); } return env; } static environment universe_cmd(parser & p) { if (p.curr_is_token(get_variables_tk())) { p.next(); return universes_cmd_core(p, true); } else { bool local = false; if (p.curr_is_token(get_variable_tk())) { p.next(); local = true; } name n = p.check_decl_id_next("invalid 'universe' command, identifier expected"); return declare_universe(p, p.env(), n, local); } } static environment universes_cmd(parser & p) { return universes_cmd_core(p, false); } enum class variable_kind { Constant, Parameter, Variable, Axiom }; static void check_parameter_type(parser & p, name const & n, expr const & type, pos_info const & pos) { for_each(type, [&](expr const & e, unsigned) { if (is_local(e) && p.is_local_variable(e)) throw parser_error(sstream() << "invalid parameter declaration '" << n << "', it depends on " << "variable '" << local_pp_name(e) << "'", pos); return true; }); } static environment declare_var(parser & p, environment env, name const & n, level_param_names const & ls, expr const & type, variable_kind k, optional const & _bi, pos_info const & pos, decl_modifiers const & modifiers) { binder_info bi; if (_bi) bi = *_bi; if (k == variable_kind::Parameter || k == variable_kind::Variable) { if (k == variable_kind::Parameter) { check_in_section(p); check_parameter_type(p, n, type, pos); } if (p.get_local(n)) throw parser_error(sstream() << "invalid parameter/variable declaration, '" << n << "' has already been declared", pos); name u = mk_fresh_name(); expr l = p.save_pos(mk_local(u, n, type, bi), pos); if (k == variable_kind::Parameter) p.add_parameter(n, l); else p.add_variable(n, l); return env; } else { lean_assert(k == variable_kind::Constant || k == variable_kind::Axiom); name const & ns = get_namespace(env); name full_n = ns + n; expr new_type = unfold_untrusted_macros(env, type); if (k == variable_kind::Axiom) { env = module::add(env, check(env, mk_axiom(full_n, ls, new_type))); } else { bool is_trusted = !modifiers.m_is_meta; env = module::add(env, check(env, mk_constant_assumption(full_n, ls, new_type, is_trusted))); } if (!ns.is_anonymous()) { if (modifiers.m_is_protected) env = add_expr_alias(env, get_protected_shortest_name(full_n), full_n); else env = add_expr_alias(env, n, full_n); } if (modifiers.m_is_protected) env = add_protected(env, full_n); env = ensure_decl_namespaces(env, full_n); return env; } } /** \brief If we are in a section, then add the new local levels to it. */ static void update_local_levels(parser & p, level_param_names const & new_ls, bool is_variable) { for (auto const & l : new_ls) p.add_local_level(l, mk_param_univ(l), is_variable); } optional parse_binder_info(parser & p, variable_kind k) { optional bi = p.parse_optional_binder_info(); if (bi && k != variable_kind::Parameter && k != variable_kind::Variable) parser_error("invalid binder annotation, it can only be used to declare variables/parameters", p.pos()); return bi; } static void check_variable_kind(parser & p, variable_kind k) { if (in_section(p.env())) { if (k == variable_kind::Axiom || k == variable_kind::Constant) throw parser_error("invalid declaration, 'constant/axiom' cannot be used in sections", p.pos()); } else if (!in_section(p.env()) && k == variable_kind::Parameter) { throw parser_error("invalid declaration, 'parameter/hypothesis/conjecture' " "can only be used in sections", p.pos()); } } static void update_local_binder_info(parser & p, variable_kind k, name const & n, optional const & bi, pos_info const & pos) { binder_info new_bi; if (bi) new_bi = *bi; if (k == variable_kind::Parameter) { if (p.is_local_variable(n)) throw parser_error(sstream() << "invalid parameter binder type update, '" << n << "' is a variable", pos); if (!p.update_local_binder_info(n, new_bi)) throw parser_error(sstream() << "invalid parameter binder type update, '" << n << "' is not a parameter", pos); } else { if (!p.update_local_binder_info(n, new_bi) || !p.is_local_variable(n)) throw parser_error(sstream() << "invalid variable binder type update, '" << n << "' is not a variable", pos); } } static bool curr_is_binder_annotation(parser & p) { return p.curr_is_token(get_lparen_tk()) || p.curr_is_token(get_lcurly_tk()) || p.curr_is_token(get_ldcurly_tk()) || p.curr_is_token(get_lbracket_tk()); } static environment variable_cmd_core(parser & p, variable_kind k, decl_modifiers const & modifiers = decl_modifiers()) { check_variable_kind(p, k); auto pos = p.pos(); optional bi; if (k == variable_kind::Parameter || k == variable_kind::Variable) bi = parse_binder_info(p, k); optional scope1; name n; expr type; buffer ls_buffer; if (bi && bi->is_inst_implicit() && (k == variable_kind::Parameter || k == variable_kind::Variable)) { /* instance implicit */ if (p.curr_is_identifier()) { auto n_pos = p.pos(); n = p.get_name_val(); p.next(); if (p.curr_is_token(get_colon_tk())) { /* simple decl: variable [decA : decidable A] */ p.next(); type = p.parse_expr(); } else if (p.curr_is_token(get_rbracket_tk())) { /* annotation update: variable [decA] */ p.parse_close_binder_info(bi); update_local_binder_info(p, k, n, bi, pos); return p.env(); } else { /* anonymous : variable [decidable A] */ expr left = p.id_to_expr(n, n_pos); n = p.mk_anonymous_inst_name(); unsigned rbp = 0; while (rbp < p.curr_lbp()) { left = p.parse_led(left); } type = left; } } else { /* anonymous : variable [forall x y, decidable (x = y)] */ n = p.mk_anonymous_inst_name(); type = p.parse_expr(); } } else { /* non instance implicit cases */ if (p.curr_is_token(get_lcurly_tk()) && (k == variable_kind::Parameter || k == variable_kind::Variable)) throw parser_error("invalid declaration, only constants/axioms can be universe polymorphic", p.pos()); if (k == variable_kind::Constant || k == variable_kind::Axiom) scope1.emplace(p); parse_univ_params(p, ls_buffer); n = p.check_decl_id_next("invalid declaration, identifier expected"); if (!p.curr_is_token(get_colon_tk())) { if (!curr_is_binder_annotation(p) && (k == variable_kind::Parameter || k == variable_kind::Variable)) { p.parse_close_binder_info(bi); update_local_binder_info(p, k, n, bi, pos); return p.env(); } else { buffer ps; unsigned rbp = 0; auto lenv = p.parse_binders(ps, rbp); p.check_token_next(get_colon_tk(), "invalid declaration, ':' expected"); type = p.parse_scoped_expr(ps, lenv); type = Pi(ps, type, p); } } else { p.next(); type = p.parse_expr(); } } p.parse_close_binder_info(bi); check_command_period_or_eof(p); level_param_names ls; if (ls_buffer.empty()) { ls = to_level_param_names(collect_univ_params(type)); } else { update_univ_parameters(p, ls_buffer, collect_univ_params(type)); ls = to_list(ls_buffer.begin(), ls_buffer.end()); } level_param_names new_ls; list ctx = p.locals_to_context(); std::tie(type, new_ls) = p.elaborate_type(ctx, type); if (k == variable_kind::Variable || k == variable_kind::Parameter) update_local_levels(p, new_ls, k == variable_kind::Variable); return declare_var(p, p.env(), n, append(ls, new_ls), type, k, bi, pos, modifiers); } static environment variable_cmd(parser & p) { return variable_cmd_core(p, variable_kind::Variable); } static environment axiom_cmd(parser & p) { return variable_cmd_core(p, variable_kind::Axiom); } static environment constant_cmd(parser & p) { return variable_cmd_core(p, variable_kind::Constant); } static environment parameter_cmd(parser & p) { return variable_cmd_core(p, variable_kind::Parameter); } static environment variables_cmd_core(parser & p, variable_kind k, decl_modifiers const & modifiers = decl_modifiers()) { check_variable_kind(p, k); auto pos = p.pos(); environment env = p.env(); optional bi = parse_binder_info(p, k); buffer ids; optional scope1; expr type; if (bi && bi->is_inst_implicit() && (k == variable_kind::Parameter || k == variable_kind::Variable)) { /* instance implicit */ if (p.curr_is_identifier()) { auto id_pos = p.pos(); name id = p.get_name_val(); p.next(); if (p.curr_is_token(get_colon_tk())) { /* simple decl: variables [decA : decidable A] */ p.next(); ids.push_back(id); type = p.parse_expr(); } else if (p.curr_is_token(get_rbracket_tk())) { /* annotation update: variables [decA] */ p.parse_close_binder_info(bi); update_local_binder_info(p, k, id, bi, pos); if (curr_is_binder_annotation(p)) return variables_cmd_core(p, k); else return env; } else { /* anonymous : variables [decidable A] */ expr left = p.id_to_expr(id, id_pos); id = p.mk_anonymous_inst_name(); unsigned rbp = 0; while (rbp < p.curr_lbp()) { left = p.parse_led(left); } ids.push_back(id); type = left; } } else { /* anonymous : variables [forall x y, decidable (x = y)] */ name id = p.mk_anonymous_inst_name(); ids.push_back(id); type = p.parse_expr(); } } else { /* non instance implicit cases */ while (p.curr_is_identifier()) { name id = p.get_name_val(); p.next(); ids.push_back(id); } if (p.curr_is_token(get_colon_tk())) { p.next(); } else { /* binder annotation update */ /* example: variables (A) */ if (k == variable_kind::Parameter || k == variable_kind::Variable) { p.parse_close_binder_info(bi); for (name const & id : ids) { update_local_binder_info(p, k, id, bi, pos); } if (curr_is_binder_annotation(p)) return variables_cmd_core(p, k); else return env; } else { throw parser_error("invalid variables/constants/axioms declaration, ':' expected", pos); } } if (k == variable_kind::Constant || k == variable_kind::Axiom) scope1.emplace(p); type = p.parse_expr(); } p.parse_close_binder_info(bi); level_param_names ls = to_level_param_names(collect_univ_params(type)); list ctx = p.locals_to_context(); for (auto id : ids) { // Hack: to make sure we get different universe parameters for each parameter. // Alternative: elaborate once and copy types replacing universes in new_ls. level_param_names new_ls; expr new_type; check_command_period_open_binder_or_eof(p); std::tie(new_type, new_ls) = p.elaborate_type(ctx, type); if (k == variable_kind::Variable || k == variable_kind::Parameter) update_local_levels(p, new_ls, k == variable_kind::Variable); new_ls = append(ls, new_ls); env = declare_var(p, env, id, new_ls, new_type, k, bi, pos, modifiers); } if (curr_is_binder_annotation(p)) { if (k == variable_kind::Constant || k == variable_kind::Axiom) { // Hack: temporarily update the parser environment. // We must do that to be able to process // constants (A : Type) (a : A) parser::local_scope scope2(p, env); return variables_cmd_core(p, k); } else { return variables_cmd_core(p, k); } } return env; } static environment variables_cmd(parser & p) { return variables_cmd_core(p, variable_kind::Variable); } static environment parameters_cmd(parser & p) { return variables_cmd_core(p, variable_kind::Parameter); } static environment constants_cmd(parser & p) { return variables_cmd_core(p, variable_kind::Constant); } static environment axioms_cmd(parser & p) { return variables_cmd_core(p, variable_kind::Axiom); } static environment definition_cmd_ex(parser & p, decl_attributes const & attributes) { decl_modifiers modifiers; if (p.curr_is_token(get_private_tk())) { modifiers.m_is_private = true; p.next(); if (!attributes && p.curr_is_token(get_structure_tk())) { return structure_cmd_ex(p, attributes, modifiers); } if (!attributes && p.curr_is_token(get_class_tk())) { return class_cmd_ex(p, modifiers); } } else if (p.curr_is_token(get_protected_tk())) { modifiers.m_is_protected = true; p.next(); if (!attributes) { if (p.curr_is_token_or_id(get_axiom_tk())) { p.next(); return variable_cmd_core(p, variable_kind::Axiom, modifiers); } else if (p.curr_is_token_or_id(get_constant_tk())) { p.next(); return variable_cmd_core(p, variable_kind::Constant, modifiers); } else if (p.curr_is_token_or_id(get_axioms_tk())) { p.next(); return variables_cmd_core(p, variable_kind::Axiom, modifiers); } else if (p.curr_is_token_or_id(get_constants_tk())) { p.next(); return variables_cmd_core(p, variable_kind::Constant, modifiers); } } } if (p.curr_is_token(get_noncomputable_tk())) { modifiers.m_is_noncomputable = true; p.next(); if (!attributes && !modifiers.m_is_private && !modifiers.m_is_protected && p.curr_is_token_or_id(get_theory_tk())) { p.next(); p.set_ignore_noncomputable(); return p.env(); } } if (p.curr_is_token(get_meta_tk())) { modifiers.m_is_meta = true; p.next(); if (!attributes) { if (p.curr_is_token_or_id(get_constant_tk())) { p.next(); return variable_cmd_core(p, variable_kind::Constant, modifiers); } else if (p.curr_is_token_or_id(get_constants_tk())) { p.next(); return variables_cmd_core(p, variable_kind::Constant, modifiers); } } if (!modifiers.m_is_private && !modifiers.m_is_protected && p.curr_is_token(get_inductive_tk())) { return inductive_cmd_ex(p, attributes, modifiers.m_is_meta); } if (!attributes && !modifiers.m_is_protected && p.curr_is_token(get_structure_tk())) { return structure_cmd_ex(p, attributes, modifiers); } if (!attributes && !modifiers.m_is_protected && p.curr_is_token(get_class_tk())) { return class_cmd_ex(p, modifiers); } } if (p.curr_is_token(get_mutual_tk())) { modifiers.m_is_mutual = true; p.next(); if (!modifiers.m_is_private && !modifiers.m_is_protected && !modifiers.m_is_noncomputable && p.curr_is_token(get_inductive_tk())) { return mutual_inductive_cmd_ex(p, attributes, modifiers.m_is_meta); } } def_cmd_kind kind = Definition; if (p.curr_is_token_or_id(get_definition_tk())) { p.next(); } else if (p.curr_is_token_or_id(get_theorem_tk())) { p.next(); kind = Theorem; } else if (p.curr_is_token_or_id(get_example_tk())) { p.next(); kind = Example; } else if (!modifiers.m_is_private && !modifiers.m_is_protected && p.curr_is_token_or_id(get_instance_tk())) { p.next(); modifiers.m_is_protected = true; modifiers.m_is_instance = true; } else { throw parser_error("invalid definition/theorem, 'definition' or 'theorem' expected", p.pos()); } return definition_cmd_core(p, kind, modifiers, attributes); } static environment definition_cmd(parser & p) { return definition_cmd_ex(p, {}); } static environment attribute_cmd_core(parser & p, bool persistent) { buffer ds; decl_attributes attributes(persistent); attributes.parse(p); // 'attribute [attr] definition ...' if (p.curr_is_command()) { if (p.curr_is_token_or_id(get_inductive_tk())) { return inductive_cmd_ex(p, attributes, false); } else if (p.curr_is_token_or_id(get_structure_tk())) { return structure_cmd_ex(p, attributes, {}); } else { return definition_cmd_ex(p, attributes); } } name d = p.check_constant_next("invalid 'attribute' command, constant expected"); ds.push_back(d); while (p.curr_is_identifier()) { ds.push_back(p.check_constant_next("invalid 'attribute' command, constant expected")); } if (attributes.is_parsing_only()) throw exception(sstream() << "invalid [parsing_only] attribute, can only be applied at declaration time"); environment env = p.env(); for (name const & d : ds) env = attributes.apply(env, p.ios(), d); return env; } static environment attribute_cmd(parser & p) { return attribute_cmd_core(p, true); } environment local_attribute_cmd(parser & p) { return attribute_cmd_core(p, false); } static environment compact_attribute_cmd(parser & p) { bool persistent = true; decl_attributes attributes(persistent); attributes.parse_compact(p); if (p.curr_is_token_or_id(get_inductive_tk())) { return inductive_cmd_ex(p, attributes, false); } else if (p.curr_is_token_or_id(get_structure_tk())) { return structure_cmd_ex(p, attributes, {}); } else { return definition_cmd_ex(p, attributes); } } static environment include_cmd_core(parser & p, bool include) { if (!p.curr_is_identifier()) throw parser_error(sstream() << "invalid include/omit command, identifier expected", p.pos()); while (p.curr_is_identifier()) { auto pos = p.pos(); name n = p.get_name_val(); p.next(); if (!p.get_local(n)) throw parser_error(sstream() << "invalid include/omit command, '" << n << "' is not a parameter/variable", pos); if (include) { if (p.is_include_variable(n)) throw parser_error(sstream() << "invalid include command, '" << n << "' has already been included", pos); p.include_variable(n); } else { if (!p.is_include_variable(n)) throw parser_error(sstream() << "invalid omit command, '" << n << "' has not been included", pos); p.omit_variable(n); } } return p.env(); } static environment include_cmd(parser & p) { return include_cmd_core(p, true); } static environment omit_cmd(parser & p) { return include_cmd_core(p, false); } static environment reveal_cmd(parser & p) { buffer ds; name d = p.check_constant_next("invalid 'reveal' command, constant expected"); ds.push_back(d); while (p.curr_is_identifier()) { ds.push_back(p.check_constant_next("invalid 'reveal' command, constant expected")); } return p.reveal_theorems(ds); } void register_decl_cmds(cmd_table & r) { add_cmd(r, cmd_info("universe", "declare a universe level", universe_cmd)); add_cmd(r, cmd_info("universes", "declare universe levels", universes_cmd)); add_cmd(r, cmd_info("variable", "declare a new variable", variable_cmd)); add_cmd(r, cmd_info("parameter", "declare a new parameter", parameter_cmd)); add_cmd(r, cmd_info("constant", "declare a new constant (aka top-level variable)", constant_cmd)); add_cmd(r, cmd_info("axiom", "declare a new axiom", axiom_cmd)); add_cmd(r, cmd_info("variables", "declare new variables", variables_cmd)); add_cmd(r, cmd_info("parameters", "declare new parameters", parameters_cmd)); add_cmd(r, cmd_info("constants", "declare new constants (aka top-level variables)", constants_cmd)); add_cmd(r, cmd_info("axioms", "declare new axioms", axioms_cmd)); add_cmd(r, cmd_info("definition", "add new definition", definition_cmd, false)); add_cmd(r, cmd_info("meta", "add new meta definition/constant", definition_cmd, false)); add_cmd(r, cmd_info("mutual", "add new mutal definition/constant/inductive", definition_cmd, false)); add_cmd(r, cmd_info("noncomputable", "add new noncomputable definition", definition_cmd, false)); add_cmd(r, cmd_info("private", "add new private definition/theorem", definition_cmd, false)); add_cmd(r, cmd_info("protected", "add new protected definition/theorem/variable", definition_cmd, false)); add_cmd(r, cmd_info("theorem", "add new theorem", definition_cmd, false)); add_cmd(r, cmd_info("instance", "add new instance", definition_cmd, false)); add_cmd(r, cmd_info("example", "add new example", definition_cmd, false)); add_cmd(r, cmd_info("reveal", "reveal given theorems", reveal_cmd)); add_cmd(r, cmd_info("include", "force section parameter/variable to be included", include_cmd)); add_cmd(r, cmd_info("attribute", "set declaration attributes", attribute_cmd)); add_cmd(r, cmd_info("@[", "declaration attributes", compact_attribute_cmd)); add_cmd(r, cmd_info("omit", "undo 'include' command", omit_cmd)); } void initialize_decl_cmds() { } void finalize_decl_cmds() { } }