refactor(library/unifier): make it easier to add new options to the unifier
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
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0450e81392
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7 changed files with 79 additions and 65 deletions
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@ -1114,7 +1114,7 @@ public:
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lazy_list<substitution> solve(constraint_seq const & cs) {
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buffer<constraint> tmp;
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cs.linearize(tmp);
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return unify(env(), tmp.size(), tmp.data(), m_ngen.mk_child(), true, ios().get_options());
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return unify(env(), tmp.size(), tmp.data(), m_ngen.mk_child(), unifier_config(ios().get_options(), true));
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}
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static void collect_metavars(expr const & e, buffer<expr> & mvars) {
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@ -120,7 +120,8 @@ proof_state_seq apply_tactic_core(environment const & env, io_state const & ios,
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}
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}
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list<expr> meta_lst = to_list(metas.begin(), metas.end());
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lazy_list<substitution> substs = unify(env, t, e_t, ngen.mk_child(), relax_main_opaque, s.get_subst(), ios.get_options());
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lazy_list<substitution> substs = unify(env, t, e_t, ngen.mk_child(), relax_main_opaque, s.get_subst(),
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unifier_config(ios.get_options()));
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return map2<proof_state>(substs, [=](substitution const & subst) -> proof_state {
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name_generator new_ngen(ngen);
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type_checker tc(env, new_ngen.mk_child());
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@ -27,13 +27,48 @@ Author: Leonardo de Moura
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#include "library/unifier_plugin.h"
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#include "library/kernel_bindings.h"
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#ifndef LEAN_DEFAULT_UNIFIER_MAX_STEPS
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#define LEAN_DEFAULT_UNIFIER_MAX_STEPS 20000
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#endif
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#ifndef LEAN_DEFAULT_UNIFIER_COMPUTATION
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#define LEAN_DEFAULT_UNIFIER_COMPUTATION true
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#endif
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#ifndef LEAN_DEFAULT_UNIFIER_EXPENSIVE_CLASSES
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#define LEAN_DEFAULT_UNIFIER_EXPENSIVE_CLASSES false
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#endif
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namespace lean {
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static name g_unifier_max_steps {"unifier", "max_steps"};
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RegisterUnsignedOption(g_unifier_max_steps, LEAN_DEFAULT_UNIFIER_MAX_STEPS, "(unifier) maximum number of steps");
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unsigned get_unifier_max_steps(options const & opts) { return opts.get_unsigned(g_unifier_max_steps, LEAN_DEFAULT_UNIFIER_MAX_STEPS); }
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static name g_unifier_expensive {"unifier", "expensive"};
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RegisterBoolOption(g_unifier_expensive, LEAN_DEFAULT_UNIFIER_EXPENSIVE, "(unifier) enable/disable expensive (and more complete) procedure");
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bool get_unifier_expensive(options const & opts) { return opts.get_bool(g_unifier_expensive, LEAN_DEFAULT_UNIFIER_EXPENSIVE); }
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static name g_unifier_computation {"unifier", "computation"};
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RegisterBoolOption(g_unifier_computation, LEAN_DEFAULT_UNIFIER_COMPUTATION,
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"(unifier) case-split on reduction/computational steps when solving flex-rigid constraints");
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bool get_unifier_computation(options const & opts) { return opts.get_bool(g_unifier_computation, LEAN_DEFAULT_UNIFIER_COMPUTATION); }
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static name g_unifier_expensive_classes {"unifier", "expensive_classes"};
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RegisterBoolOption(g_unifier_expensive_classes, LEAN_DEFAULT_UNIFIER_EXPENSIVE_CLASSES,
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"(unifier) use \"full\" higher-order unification when solving class instances");
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bool get_unifier_expensive_classes(options const & opts) {
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return opts.get_bool(g_unifier_expensive_classes, LEAN_DEFAULT_UNIFIER_EXPENSIVE_CLASSES);
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}
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unifier_config::unifier_config(bool use_exceptions):
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m_use_exceptions(use_exceptions),
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m_max_steps(LEAN_DEFAULT_UNIFIER_MAX_STEPS),
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m_computation(LEAN_DEFAULT_UNIFIER_COMPUTATION),
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m_expensive_classes(LEAN_DEFAULT_UNIFIER_EXPENSIVE_CLASSES) {
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}
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unifier_config::unifier_config(options const & o, bool use_exceptions):
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m_use_exceptions(use_exceptions),
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m_max_steps(get_unifier_max_steps(o)),
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m_computation(get_unifier_computation(o)),
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m_expensive_classes(get_unifier_expensive_classes(o)) {
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}
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// If \c e is a metavariable ?m or a term of the form (?m l_1 ... l_n) where
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// l_1 ... l_n are distinct local variables, then return ?m, and store l_1 ... l_n in args.
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@ -256,10 +291,8 @@ struct unifier_fn {
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owned_map m_owned_map; // mapping from metavariable name m to delay factor of the choice constraint that owns m
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unifier_plugin m_plugin;
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type_checker_ptr m_tc[2];
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bool m_use_exception; //!< True if we should throw an exception when there are no more solutions.
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unsigned m_max_steps;
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unifier_config m_config;
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unsigned m_num_steps;
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bool m_expensive;
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bool m_pattern; //!< If true, then only higher-order (pattern) matching is used
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bool m_first; //!< True if we still have to generate the first solution.
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unsigned m_next_assumption_idx; //!< Next assumption index.
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@ -348,9 +381,9 @@ struct unifier_fn {
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unifier_fn(environment const & env, unsigned num_cs, constraint const * cs,
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name_generator const & ngen, substitution const & s,
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bool use_exception, unsigned max_steps, bool expensive):
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unifier_config const & cfg):
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m_env(env), m_ngen(ngen), m_subst(s), m_plugin(get_unifier_plugin(env)),
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m_use_exception(use_exception), m_max_steps(max_steps), m_num_steps(0), m_expensive(expensive), m_pattern(false) {
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m_config(cfg), m_num_steps(0), m_pattern(false) {
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m_tc[0] = mk_type_checker_with_hints(env, m_ngen.mk_child(), false);
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m_tc[1] = mk_type_checker_with_hints(env, m_ngen.mk_child(), true);
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m_next_assumption_idx = 0;
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@ -363,8 +396,8 @@ struct unifier_fn {
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void check_system() {
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check_interrupted();
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if (m_num_steps > m_max_steps)
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throw exception(sstream() << "unifier maximum number of steps (" << m_max_steps << ") exceeded, " <<
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if (m_num_steps > m_config.m_max_steps)
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throw exception(sstream() << "unifier maximum number of steps (" << m_config.m_max_steps << ") exceeded, " <<
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"the maximum number of steps can be increased by setting the option unifier.max_steps " <<
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"(remark: the unifier uses higher order unification and unification-hints, which may trigger non-termination");
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m_num_steps++;
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@ -967,7 +1000,7 @@ struct unifier_fn {
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optional<substitution> failure() {
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lean_assert(in_conflict());
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if (m_use_exception)
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if (m_config.m_use_exceptions)
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throw unifier_exception(*m_conflict, m_subst);
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else
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return optional<substitution>();
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@ -1805,7 +1838,7 @@ struct unifier_fn {
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lean_assert(!m_cnstrs.empty());
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auto const * p = m_cnstrs.min();
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unsigned cidx = p->second;
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if (!m_expensive && cidx >= get_group_first_index(cnstr_group::ClassInstance))
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if (!m_config.m_expensive_classes && cidx >= get_group_first_index(cnstr_group::ClassInstance))
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m_pattern = true; // use only higher-order (pattern) matching after we start processing class-instance constraints
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constraint c = p->first;
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// std::cout << "process_next: " << c << "\n";
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@ -1907,21 +1940,16 @@ lazy_list<substitution> unify(std::shared_ptr<unifier_fn> u) {
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}
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lazy_list<substitution> unify(environment const & env, unsigned num_cs, constraint const * cs, name_generator const & ngen,
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bool use_exception, unsigned max_steps, bool expensive) {
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return unify(std::make_shared<unifier_fn>(env, num_cs, cs, ngen, substitution(), use_exception, max_steps, expensive));
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}
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lazy_list<substitution> unify(environment const & env, unsigned num_cs, constraint const * cs, name_generator const & ngen,
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bool use_exception, options const & o) {
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return unify(env, num_cs, cs, ngen, use_exception, get_unifier_max_steps(o), get_unifier_expensive(o));
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unifier_config const & cfg) {
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return unify(std::make_shared<unifier_fn>(env, num_cs, cs, ngen, substitution(), cfg));
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}
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lazy_list<substitution> unify(environment const & env, expr const & lhs, expr const & rhs, name_generator const & ngen,
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bool relax, substitution const & s, unsigned max_steps, bool expensive) {
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bool relax, substitution const & s, unifier_config const & cfg) {
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substitution new_s = s;
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expr _lhs = new_s.instantiate(lhs);
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expr _rhs = new_s.instantiate(rhs);
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auto u = std::make_shared<unifier_fn>(env, 0, nullptr, ngen, new_s, false, max_steps, expensive);
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auto u = std::make_shared<unifier_fn>(env, 0, nullptr, ngen, new_s, cfg);
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constraint_seq cs;
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if (!u->m_tc[relax]->is_def_eq(_lhs, _rhs, justification(), cs) || !u->process_constraints(cs)) {
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return lazy_list<substitution>();
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@ -1930,11 +1958,6 @@ lazy_list<substitution> unify(environment const & env, expr const & lhs, expr co
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}
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}
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lazy_list<substitution> unify(environment const & env, expr const & lhs, expr const & rhs, name_generator const & ngen,
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bool relax, substitution const & s, options const & o) {
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return unify(env, lhs, rhs, ngen, relax, s, get_unifier_max_steps(o), get_unifier_expensive(o));
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}
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static int unify_simple(lua_State * L) {
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int nargs = lua_gettop(L);
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unify_status r;
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@ -2055,18 +2078,19 @@ static int unify(lua_State * L) {
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environment const & env = to_environment(L, 1);
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if (is_expr(L, 2)) {
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if (nargs == 7)
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r = unify(env, to_expr(L, 2), to_expr(L, 3), to_name_generator(L, 4), lua_toboolean(L, 5), to_substitution(L, 6), to_options(L, 7));
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r = unify(env, to_expr(L, 2), to_expr(L, 3), to_name_generator(L, 4), lua_toboolean(L, 5), to_substitution(L, 6),
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unifier_config(to_options(L, 7)));
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else if (nargs == 6)
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r = unify(env, to_expr(L, 2), to_expr(L, 3), to_name_generator(L, 4), lua_toboolean(L, 5), to_substitution(L, 6), options());
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r = unify(env, to_expr(L, 2), to_expr(L, 3), to_name_generator(L, 4), lua_toboolean(L, 5), to_substitution(L, 6));
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else
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r = unify(env, to_expr(L, 2), to_expr(L, 3), to_name_generator(L, 4), lua_toboolean(L, 5));
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} else {
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buffer<constraint> cs;
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to_constraint_buffer(L, 2, cs);
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if (nargs == 4)
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r = unify(env, cs.size(), cs.data(), to_name_generator(L, 3), false, to_options(L, 4));
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r = unify(env, cs.size(), cs.data(), to_name_generator(L, 3), unifier_config(to_options(L, 4)));
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else
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r = unify(env, cs.size(), cs.data(), to_name_generator(L, 3), false, options());
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r = unify(env, cs.size(), cs.data(), to_name_generator(L, 3));
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}
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return push_substitution_seq_it(L, r);
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}
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@ -15,17 +15,9 @@ Author: Leonardo de Moura
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#include "kernel/environment.h"
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#include "kernel/metavar.h"
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#ifndef LEAN_DEFAULT_UNIFIER_MAX_STEPS
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#define LEAN_DEFAULT_UNIFIER_MAX_STEPS 20000
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#endif
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#ifndef LEAN_DEFAULT_UNIFIER_EXPENSIVE
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#define LEAN_DEFAULT_UNIFIER_EXPENSIVE false
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#endif
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namespace lean {
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unsigned get_unifier_max_steps(options const & opts);
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bool get_unifier_unfold_opaque(options const & opts);
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bool get_unifier_computation(options const & opts);
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bool is_simple_meta(expr const & e);
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expr mk_aux_metavar_for(name_generator & ngen, expr const & t);
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@ -40,16 +32,19 @@ unify_status unify_simple(substitution & s, expr const & lhs, expr const & rhs,
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unify_status unify_simple(substitution & s, level const & lhs, level const & rhs, justification const & j);
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unify_status unify_simple(substitution & s, constraint const & c);
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struct unifier_config {
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bool m_use_exceptions;
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unsigned m_max_steps;
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bool m_computation;
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bool m_expensive_classes;
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unifier_config(bool use_exceptions = false);
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explicit unifier_config(options const & o, bool use_exceptions = false);
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};
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lazy_list<substitution> unify(environment const & env, unsigned num_cs, constraint const * cs, name_generator const & ngen,
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bool use_exception = true, unsigned max_steps = LEAN_DEFAULT_UNIFIER_MAX_STEPS,
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bool expensive = LEAN_DEFAULT_UNIFIER_EXPENSIVE);
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lazy_list<substitution> unify(environment const & env, unsigned num_cs, constraint const * cs, name_generator const & ngen,
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bool use_exception, options const & o);
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unifier_config const & c = unifier_config());
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lazy_list<substitution> unify(environment const & env, expr const & lhs, expr const & rhs, name_generator const & ngen, bool relax_main_opaque,
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substitution const & s = substitution(), unsigned max_steps = LEAN_DEFAULT_UNIFIER_MAX_STEPS,
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bool expensive = LEAN_DEFAULT_UNIFIER_MAX_STEPS);
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lazy_list<substitution> unify(environment const & env, expr const & lhs, expr const & rhs, name_generator const & ngen,
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bool relax_main_opaque, substitution const & s, options const & o);
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substitution const & s = substitution(), unifier_config const & c = unifier_config());
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/**
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The unifier divides the constraints in 8 groups: Simple, Basic, FlexRigid, PluginDelayed, DelayedChoice, ClassInstance, FlexFlex, MaxDelayed
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@ -11,7 +11,7 @@
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import data.nat
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using nat eq_proofs
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set_option unifier.expensive true
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inductive list (T : Type) : Type :=
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| nil {} : list T
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| cons : T → list T → list T
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@ -27,7 +27,5 @@ end int
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using int
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using nat
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set_option unifier.expensive true
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theorem add_lt_left {a b : int} (H : a < b) (c : int) : c + a < c + b :=
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subst (symm (add_assoc c a one)) (add_le_left H c)
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@ -12,14 +12,12 @@
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import logic data.nat
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-- import congr
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set_option unifier.expensive true
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using nat
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-- using congr
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using eq_proofs
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namespace list
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-- Type
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-- ----
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@ -173,7 +171,6 @@ list_induction_on l (refl _)
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assume P : append x l = concat l [x],
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P ▸ refl _)
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set_option unifier.expensive false
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theorem append_eq_reverse_cons (x : T) (l : list T) : append x l = reverse (x :: reverse l) :=
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list_induction_on l
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(calc
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@ -190,4 +187,3 @@ list_induction_on l
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... = reverse (x :: (reverse (y :: l'))) : refl _)
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end
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end list
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