refactor(kernel/metavar): simplify substitution class, and remove dead code
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
This commit is contained in:
parent
caf3e5a449
commit
61661478ad
13 changed files with 138 additions and 248 deletions
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@ -89,7 +89,7 @@ public:
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return some_level(*it);
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} else {
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level new_p = mk_new_univ_param();
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m_subst.d_assign(l, new_p);
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m_subst.assign(l, new_p);
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return some_level(new_p);
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}
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}
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@ -307,9 +307,9 @@ class elaborator {
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substitution subst = next->first.get_subst();
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buffer<constraint> cs;
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expr const & mvar = get_app_fn(m_meta);
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cs.push_back(mk_eq_cnstr(mvar, subst.d_instantiate(mvar), m_jst));
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cs.push_back(mk_eq_cnstr(mvar, subst.instantiate(mvar), m_jst));
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for (auto const & mvar : m_mvars_in_meta_type)
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cs.push_back(mk_eq_cnstr(mvar, subst.d_instantiate(mvar), m_jst));
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cs.push_back(mk_eq_cnstr(mvar, subst.instantiate(mvar), m_jst));
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return optional<constraints>(to_list(cs.begin(), cs.end()));
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}
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return optional<constraints>();
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@ -414,9 +414,7 @@ public:
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if (!m_accumulated.is_none())
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c = update_justification(c, mk_composite1(c.get_justification(), m_accumulated));
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add_cnstr_core(c);
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auto ss = unify_simple(m_subst, c);
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m_subst = ss.second;
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if (ss.first == unify_status::Failed)
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if (unify_simple(m_subst, c) == unify_status::Failed)
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throw unifier_exception(c.get_justification(), m_subst);
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}
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@ -424,7 +422,7 @@ public:
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\remark We update \c m_accumulated with any justifications used.
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*/
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expr instantiate_metavars(expr const & e) {
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auto e_j = m_subst.d_instantiate_metavars(e);
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auto e_j = m_subst.instantiate_metavars(e);
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m_accumulated = mk_composite1(m_accumulated, e_j.second);
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return e_j.first;
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}
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@ -538,7 +536,7 @@ public:
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return ::lean::is_class(m_env, cls_name) || !empty(get_tactic_hints(m_env, cls_name));
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}
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static expr instantiate_meta(expr const & meta, substitution const & subst) {
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static expr instantiate_meta(expr const & meta, substitution & subst) {
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buffer<expr> locals;
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expr mvar = get_app_args(meta, locals);
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mvar = update_mlocal(mvar, subst.instantiate(mlocal_type(mvar)));
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@ -551,7 +549,8 @@ public:
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justification mk_failed_to_synthesize_jst(expr const & m) {
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environment env = m_env;
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return mk_justification(m, [=](formatter const & fmt, substitution const & subst) {
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expr new_m = instantiate_meta(m, subst);
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substitution tmp(subst);
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expr new_m = instantiate_meta(m, tmp);
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expr new_type = type_checker(env).infer(new_m);
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proof_state ps(goals(goal(new_m, new_type)), substitution(), name_generator("dontcare"));
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return format({format("failed to synthesize placeholder"), line(), ps.pp(fmt)});
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@ -1065,7 +1064,7 @@ public:
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} else {
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subst = r->first.get_subst();
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expr v = subst.instantiate(mvar);
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subst = subst.assign(mlocal_name(mvar), v);
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subst.assign(mlocal_name(mvar), v);
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return true;
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}
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} catch (tactic_exception & ex) {
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@ -1110,12 +1109,13 @@ public:
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void display_unassigned_mvars(expr const & e, substitution const & s) {
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if (m_check_unassigned && has_metavar(e)) {
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substitution tmp_s(s);
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for_each(e, [&](expr const & e, unsigned) {
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if (!is_metavar(e))
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return has_metavar(e);
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if (auto it = m_mvar2meta.find(mlocal_name(e))) {
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expr meta = s.instantiate(*it);
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expr meta_type = s.instantiate(type_checker(m_env).infer(meta));
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expr meta = tmp_s.instantiate(*it);
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expr meta_type = tmp_s.instantiate(type_checker(m_env).infer(meta));
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goal g(meta, meta_type);
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display_unsolved_proof_state(e, proof_state(goals(g), substitution(), m_ngen),
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"don't know how to synthesize it");
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@ -1127,7 +1127,7 @@ public:
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/** \brief Apply substitution and solve remaining metavariables using tactics. */
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expr apply(substitution & s, expr const & e, name_set & univ_params, buffer<name> & new_params) {
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expr r = s.d_instantiate(e);
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expr r = s.instantiate(e);
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if (has_univ_metavar(r))
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r = univ_metavars_to_params_fn(m_env, m_lls, s, univ_params, new_params)(r);
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r = solve_unassigned_mvars(s, r);
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@ -1158,7 +1158,8 @@ public:
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expr r_v = visit(v);
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expr r_v_type = infer_type(r_v);
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justification j = mk_justification(v, [=](formatter const & fmt, substitution const & subst) {
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return pp_def_type_mismatch(fmt, n, subst.instantiate(r_t), subst.instantiate(r_v_type));
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substitution s(subst);
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return pp_def_type_mismatch(fmt, n, s.instantiate(r_t), s.instantiate(r_v_type));
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});
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if (!m_tc->is_def_eq(r_v_type, r_t, j)) {
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throw_kernel_exception(m_env, v, [=](formatter const & fmt) { return pp_def_type_mismatch(fmt, n, r_t, r_v_type); });
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@ -50,40 +50,20 @@ optional<level> substitution::get_level(name const & m) const {
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return it ? some_level(*it) : none_level();
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}
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void substitution::d_assign(name const & m, expr const & t, justification const & j) {
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void substitution::assign(name const & m, expr const & t, justification const & j) {
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lean_assert(closed(t));
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m_expr_subst.insert(m, t);
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if (!j.is_none())
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m_expr_jsts.insert(m, j);
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}
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void substitution::d_assign(name const & m, level const & l, justification const & j) {
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void substitution::assign(name const & m, level const & l, justification const & j) {
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m_level_subst.insert(m, l);
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if (!j.is_none())
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m_level_jsts.insert(m, j);
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}
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substitution substitution::assign(name const & m, expr const & t, justification const & j) const {
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substitution s(*this);
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s.d_assign(m, t, j);
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return s;
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}
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substitution substitution::assign(name const & m, expr const & t) const {
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return assign(m, t, justification());
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}
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substitution substitution::assign(name const & m, level const & l, justification const & j) const {
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substitution s(*this);
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s.d_assign(m, l, j);
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return s;
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}
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substitution substitution::assign(name const & m, level const & l) const {
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return assign(m, l, justification());
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}
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std::pair<level, justification> substitution::d_instantiate_metavars(level const & l, bool use_jst, bool updt) {
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std::pair<level, justification> substitution::instantiate_metavars(level const & l, bool use_jst) {
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if (!has_meta(l))
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return mk_pair(l, justification());
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justification j;
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@ -94,14 +74,13 @@ std::pair<level, justification> substitution::d_instantiate_metavars(level const
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} else if (is_meta(l)) {
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auto p1 = get_assignment(l);
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if (p1) {
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auto p2 = d_instantiate_metavars(p1->first, use_jst, updt);
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auto p2 = instantiate_metavars(p1->first, use_jst);
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if (use_jst) {
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justification new_jst = mk_composite1(p1->second, p2.second);
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if (updt)
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d_assign(meta_id(l), p2.first, new_jst);
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assign(meta_id(l), p2.first, new_jst);
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save_jst(new_jst);
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} else if (updt) {
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d_assign(meta_id(l), p2.first);
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} else {
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assign(meta_id(l), p2.first);
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}
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return some_level(p2.first);
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}
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@ -116,13 +95,11 @@ protected:
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substitution & m_subst;
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justification m_jst;
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bool m_use_jst;
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bool m_update;
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bool m_only_expr;
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void save_jst(justification const & j) { m_jst = mk_composite1(m_jst, j); }
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level visit_level(level const & l) {
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auto p1 = m_subst.d_instantiate_metavars(l, m_use_jst, m_update);
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auto p1 = m_subst.instantiate_metavars(l, m_use_jst);
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if (m_use_jst)
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save_jst(p1.second);
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return p1.first;
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@ -133,12 +110,10 @@ protected:
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}
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virtual expr visit_sort(expr const & s) {
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lean_assert(!m_only_expr);
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return update_sort(s, visit_level(sort_level(s)));
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}
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virtual expr visit_constant(expr const & c) {
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lean_assert(!m_only_expr);
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return update_constant(c, visit_levels(const_levels(c)));
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}
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@ -151,25 +126,15 @@ protected:
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save_jst(p1->second);
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return p1->first;
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} else if (m_use_jst) {
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if (m_update) {
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auto p2 = m_subst.d_instantiate_metavars(p1->first);
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justification new_jst = mk_composite1(p1->second, p2.second);
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m_subst.d_assign(m_name, p2.first, new_jst);
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save_jst(new_jst);
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return p2.first;
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} else {
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auto p2 = m_subst.instantiate_metavars(p1->first);
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save_jst(mk_composite1(p1->second, p2.second));
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return p2.first;
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}
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auto p2 = m_subst.instantiate_metavars(p1->first);
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justification new_jst = mk_composite1(p1->second, p2.second);
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m_subst.assign(m_name, p2.first, new_jst);
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save_jst(new_jst);
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return p2.first;
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} else {
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if (m_update) {
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auto p2 = m_subst.d_instantiate_metavars(p1->first);
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m_subst.d_assign(m_name, p2.first, mk_composite1(p1->second, p2.second));
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return p2.first;
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} else {
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return m_subst.instantiate(p1->first);
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}
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auto p2 = m_subst.instantiate_metavars(p1->first);
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m_subst.assign(m_name, p2.first, mk_composite1(p1->second, p2.second));
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return p2.first;
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}
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} else {
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return m;
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@ -194,7 +159,7 @@ protected:
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}
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virtual expr visit(expr const & e) {
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if ((m_only_expr && !has_expr_metavar(e)) || (!m_only_expr && !has_metavar(e))) {
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if (!has_metavar(e)) {
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return e;
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} else {
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return replace_visitor::visit(e);
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@ -202,57 +167,23 @@ protected:
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}
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public:
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instantiate_metavars_fn(substitution & s, bool use_jst, bool updt, bool only_expr = false):
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m_subst(s), m_use_jst(use_jst), m_update(updt), m_only_expr(only_expr) {}
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instantiate_metavars_fn(substitution & s, bool use_jst):
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m_subst(s), m_use_jst(use_jst) {}
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justification const & get_justification() const { return m_jst; }
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};
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std::pair<expr, justification> substitution::instantiate_metavars(expr const & e) const {
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substitution s(*this);
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instantiate_metavars_fn fn(s, true, false);
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expr r = fn(e);
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return mk_pair(r, fn.get_justification());
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}
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std::pair<expr, justification> substitution::d_instantiate_metavars(expr const & e, bool only_expr) {
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if ((only_expr && !has_expr_metavar(e)) || (!only_expr && !has_metavar(e))) {
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std::pair<expr, justification> substitution::instantiate_metavars(expr const & e) {
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if (!has_metavar(e)) {
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return mk_pair(e, justification());
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} else {
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instantiate_metavars_fn fn(*this, true, true, only_expr);
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instantiate_metavars_fn fn(*this, true);
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expr r = fn(e);
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return mk_pair(r, fn.get_justification());
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}
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}
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std::tuple<expr, justification, substitution> substitution::updt_instantiate_metavars(expr const & e) const {
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substitution s(*this);
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instantiate_metavars_fn fn(s, true, true);
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expr r = fn(e);
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return std::make_tuple(r, fn.get_justification(), s);
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}
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std::pair<level, justification> substitution::instantiate_metavars(level const & l) const {
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substitution s(*this);
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return s.d_instantiate_metavars(l, true, false);
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}
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expr substitution::instantiate_metavars_wo_jst(expr const & e) const {
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substitution s(*this);
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return instantiate_metavars_fn(s, false, false)(e);
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}
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expr substitution::d_instantiate_metavars_wo_jst(expr const & e) {
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return instantiate_metavars_fn(*this, false, true)(e);
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}
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std::pair<expr, substitution> substitution::updt_instantiate_metavars_wo_jst(expr const & e) const {
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substitution s(*this);
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return mk_pair(instantiate_metavars_fn(s, false, true)(e), s);
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}
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level substitution::instantiate_metavars_wo_jst(level const & l) const {
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substitution s(*this);
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return s.d_instantiate_metavars(l, false, false).first;
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expr substitution::instantiate_metavars_wo_jst(expr const & e) {
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return instantiate_metavars_fn(*this, false)(e);
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}
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bool substitution::occurs_expr(name const & m, expr const & e) const {
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@ -24,7 +24,8 @@ class substitution {
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jst_map m_level_jsts;
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friend class instantiate_metavars_fn;
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std::pair<level, justification> d_instantiate_metavars(level const & l, bool use_jst, bool updt);
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std::pair<level, justification> instantiate_metavars(level const & l, bool use_jst);
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expr instantiate_metavars_wo_jst(expr const & e);
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public:
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substitution();
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@ -42,27 +43,19 @@ public:
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justification get_expr_jst(name const & m) const { if (auto it = m_expr_jsts.find(m)) return *it; else return justification(); }
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justification get_level_jst(name const & m) const { if (auto it = m_level_jsts.find(m)) return *it; else return justification(); }
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substitution assign(name const & m, expr const & t, justification const & j) const;
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substitution assign(name const & m, expr const & t) const;
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void assign(name const & m, expr const & t, justification const & j);
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void assign(name const & m, expr const & t) { assign(m, t, justification()); }
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void assign(expr const & m, expr const & t, justification const & j) { assign(mlocal_name(m), t, j); }
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void assign(expr const & m, expr const & t) { assign(m, t, justification()); }
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void assign(name const & m, level const & t, justification const & j);
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void assign(name const & m, level const & t) { assign(m, t, justification ()); }
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void assign(level const & m, level const & t, justification const & j) { assign(meta_id(m), t, j); }
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void assign(level const & m, level const & t) { assign(m, t, justification ()); }
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substitution assign(name const & m, level const & t, justification const & j) const;
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substitution assign(name const & m, level const & t) const;
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std::pair<expr, justification> instantiate_metavars(expr const & e);
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std::pair<level, justification> instantiate_metavars(level const & l) { return instantiate_metavars(l, true); }
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void d_assign(name const & m, expr const & t, justification const & j);
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void d_assign(name const & m, expr const & t) { d_assign(m, t, justification()); }
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void d_assign(expr const & m, expr const & t, justification const & j) { d_assign(mlocal_name(m), t, j); }
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void d_assign(expr const & m, expr const & t) { d_assign(m, t, justification()); }
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void d_assign(name const & m, level const & t, justification const & j);
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void d_assign(name const & m, level const & t) { d_assign(m, t, justification ()); }
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void d_assign(level const & m, level const & t, justification const & j) { d_assign(meta_id(m), t, j); }
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void d_assign(level const & m, level const & t) { d_assign(m, t, justification ()); }
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std::pair<expr, justification> d_instantiate_metavars(expr const & e, bool only_expr = false);
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expr d_instantiate_metavars_wo_jst(expr const & e);
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std::pair<level, justification> d_instantiate_metavars(level const & l) { return d_instantiate_metavars(l, true, true); }
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void d_forget_justifications() { m_expr_jsts = jst_map(); m_level_jsts = jst_map(); }
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substitution forget_justifications() const { substitution s(*this); s.d_forget_justifications(); return s; }
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void forget_justifications() { m_expr_jsts = jst_map(); m_level_jsts = jst_map(); }
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template<typename F>
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void for_each_expr(F && fn) const {
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@ -77,45 +70,12 @@ public:
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bool is_assigned(expr const & m) const { lean_assert(is_metavar(m)); return is_expr_assigned(mlocal_name(m)); }
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opt_expr_jst get_assignment(expr const & m) const { lean_assert(is_metavar(m)); return get_expr_assignment(mlocal_name(m)); }
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optional<expr> get_expr(expr const & m) const { lean_assert(is_metavar(m)); return get_expr(mlocal_name(m)); }
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substitution assign(expr const & m, expr const & t, justification const & j) {
|
||||
lean_assert(is_metavar(m)); return assign(mlocal_name(m), t, j); }
|
||||
substitution assign(expr const & m, expr const & t) const { lean_assert(is_metavar(m)); return assign(mlocal_name(m), t); }
|
||||
|
||||
bool is_assigned(level const & m) const { lean_assert(is_meta(m)); return is_level_assigned(meta_id(m)); }
|
||||
opt_level_jst get_assignment(level const & m) const { lean_assert(is_meta(m)); return get_level_assignment(meta_id(m)); }
|
||||
optional<level> get_level(level const & m) const { lean_assert(is_meta(m)); return get_level(meta_id(m)); }
|
||||
substitution assign(level const & m, level const & l, justification const & j) const {
|
||||
lean_assert(is_meta(m)); return assign(meta_id(m), l, j); }
|
||||
substitution assign(level const & m, level const & l) { lean_assert(is_meta(m)); return assign(meta_id(m), l); }
|
||||
|
||||
/**
|
||||
\brief Instantiate metavariables in \c e assigned in this substitution.
|
||||
*/
|
||||
std::pair<expr, justification> instantiate_metavars(expr const & e) const;
|
||||
|
||||
/**
|
||||
\brief Similar to the previous function, but it compress the substitution.
|
||||
By compress, we mean, for any metavariable \c m reachable from \c e,
|
||||
if s[m] = t, and t has asssigned metavariables, then s[m] <- instantiate_metavars(t, s).
|
||||
The updated substitution is returned.
|
||||
*/
|
||||
std::tuple<expr, justification, substitution> updt_instantiate_metavars(expr const & e) const;
|
||||
|
||||
/** \brief Instantiate level metavariables in \c l. */
|
||||
std::pair<level, justification> instantiate_metavars(level const & l) const;
|
||||
|
||||
/**
|
||||
\brief Instantiate metavariables in \c e assigned in the substitution \c s,
|
||||
but does not return a justification object for the new expression.
|
||||
*/
|
||||
expr instantiate_metavars_wo_jst(expr const & e) const;
|
||||
expr instantiate(expr const & e) const { return instantiate_metavars_wo_jst(e); }
|
||||
expr d_instantiate(expr const & e) { return d_instantiate_metavars_wo_jst(e); }
|
||||
|
||||
std::pair<expr, substitution> updt_instantiate_metavars_wo_jst(expr const & e) const;
|
||||
|
||||
/** \brief Instantiate level metavariables in \c l, but does not return justification object. */
|
||||
level instantiate_metavars_wo_jst(level const & l) const;
|
||||
expr instantiate(expr const & e) { return instantiate_metavars_wo_jst(e); }
|
||||
|
||||
/** \brief Return true iff the metavariable \c m occurrs (directly or indirectly) in \c e. */
|
||||
bool occurs_expr(name const & m, expr const & e) const;
|
||||
|
|
|
@ -134,7 +134,7 @@ expr type_checker::ensure_sort_core(expr e, expr const & s) {
|
|||
expr r = mk_sort(mk_meta_univ(m_gen.next()));
|
||||
justification j = mk_justification(s,
|
||||
[=](formatter const & fmt, substitution const & subst) {
|
||||
return pp_type_expected(fmt, subst.instantiate(s));
|
||||
return pp_type_expected(fmt, substitution(subst).instantiate(s));
|
||||
});
|
||||
add_cnstr(mk_eq_cnstr(e, r, j));
|
||||
return r;
|
||||
|
@ -153,7 +153,7 @@ expr type_checker::ensure_pi_core(expr e, expr const & s) {
|
|||
} else if (is_meta(e)) {
|
||||
expr r = mk_pi_for(m_gen, e);
|
||||
justification j = mk_justification(s, [=](formatter const & fmt, substitution const & subst) {
|
||||
return pp_function_expected(fmt, subst.instantiate(s));
|
||||
return pp_function_expected(fmt, substitution(subst).instantiate(s));
|
||||
});
|
||||
add_cnstr(mk_eq_cnstr(e, r, j));
|
||||
return r;
|
||||
|
@ -182,7 +182,8 @@ app_delayed_justification::app_delayed_justification(expr const & e, expr const
|
|||
|
||||
justification mk_app_justification(expr const & e, expr const & d_type, expr const & a_type) {
|
||||
auto pp_fn = [=](formatter const & fmt, substitution const & subst) {
|
||||
return pp_app_type_mismatch(fmt, subst.instantiate(e), subst.instantiate(d_type), subst.instantiate(a_type));
|
||||
substitution s(subst);
|
||||
return pp_app_type_mismatch(fmt, s.instantiate(e), s.instantiate(d_type), s.instantiate(a_type));
|
||||
};
|
||||
return mk_justification(e, pp_fn);
|
||||
}
|
||||
|
|
|
@ -1402,7 +1402,7 @@ static int mk_justification(lua_State * L) {
|
|||
environment env = to_environment(L, 2);
|
||||
expr e = to_expr(L, 3);
|
||||
justification j = mk_justification(some_expr(e), [=](formatter const & fmt, substitution const & subst) {
|
||||
expr new_e = subst.instantiate(e);
|
||||
expr new_e = substitution(subst).instantiate(e);
|
||||
format r;
|
||||
r += format(s.c_str());
|
||||
r += pp_indent_expr(fmt, new_e);
|
||||
|
@ -1605,28 +1605,29 @@ static int subst_assign(lua_State * L) {
|
|||
if (nargs == 3) {
|
||||
if (is_expr(L, 3)) {
|
||||
if (is_expr(L, 2))
|
||||
return push_substitution(L, to_substitution(L, 1).assign(to_expr(L, 2), to_expr(L, 3)));
|
||||
to_substitution(L, 1).assign(to_expr(L, 2), to_expr(L, 3));
|
||||
else
|
||||
return push_substitution(L, to_substitution(L, 1).assign(to_name_ext(L, 2), to_expr(L, 3)));
|
||||
to_substitution(L, 1).assign(to_name_ext(L, 2), to_expr(L, 3));
|
||||
} else {
|
||||
if (is_level(L, 2))
|
||||
return push_substitution(L, to_substitution(L, 1).assign(to_level(L, 2), to_level(L, 3)));
|
||||
to_substitution(L, 1).assign(to_level(L, 2), to_level(L, 3));
|
||||
else
|
||||
return push_substitution(L, to_substitution(L, 1).assign(to_name_ext(L, 2), to_level(L, 3)));
|
||||
to_substitution(L, 1).assign(to_name_ext(L, 2), to_level(L, 3));
|
||||
}
|
||||
} else {
|
||||
if (is_expr(L, 3)) {
|
||||
if (is_expr(L, 2))
|
||||
return push_substitution(L, to_substitution(L, 1).assign(to_expr(L, 2), to_expr(L, 3), to_justification(L, 4)));
|
||||
to_substitution(L, 1).assign(to_expr(L, 2), to_expr(L, 3), to_justification(L, 4));
|
||||
else
|
||||
return push_substitution(L, to_substitution(L, 1).assign(to_name_ext(L, 2), to_expr(L, 3), to_justification(L, 4)));
|
||||
to_substitution(L, 1).assign(to_name_ext(L, 2), to_expr(L, 3), to_justification(L, 4));
|
||||
} else {
|
||||
if (is_level(L, 2))
|
||||
return push_substitution(L, to_substitution(L, 1).assign(to_level(L, 2), to_level(L, 3), to_justification(L, 4)));
|
||||
to_substitution(L, 1).assign(to_level(L, 2), to_level(L, 3), to_justification(L, 4));
|
||||
else
|
||||
return push_substitution(L, to_substitution(L, 1).assign(to_name_ext(L, 2), to_level(L, 3), to_justification(L, 4)));
|
||||
to_substitution(L, 1).assign(to_name_ext(L, 2), to_level(L, 3), to_justification(L, 4));
|
||||
}
|
||||
}
|
||||
return 0;
|
||||
}
|
||||
static int subst_is_assigned(lua_State * L) {
|
||||
if (is_expr(L, 2))
|
||||
|
@ -1711,8 +1712,13 @@ static int subst_for_each_level(lua_State * L) {
|
|||
return 0;
|
||||
}
|
||||
|
||||
static int subst_copy(lua_State * L) {
|
||||
return push_substitution(L, substitution(to_substitution(L, 1)));
|
||||
}
|
||||
|
||||
static const struct luaL_Reg substitution_m[] = {
|
||||
{"__gc", substitution_gc},
|
||||
{"copy", safe_function<subst_copy>},
|
||||
{"get_expr", safe_function<subst_get_expr>},
|
||||
{"get_level", safe_function<subst_get_level>},
|
||||
{"assign", safe_function<subst_assign>},
|
||||
|
|
|
@ -123,10 +123,11 @@ proof_state_seq apply_tactic_core(environment const & env, io_state const & ios,
|
|||
return map2<proof_state>(substs, [=](substitution const & subst) -> proof_state {
|
||||
name_generator new_ngen(ngen);
|
||||
type_checker tc(env, new_ngen.mk_child());
|
||||
expr new_e = subst.instantiate(e);
|
||||
substitution new_subst = subst;
|
||||
expr new_e = new_subst.instantiate(e);
|
||||
expr new_p = g.abstract(new_e);
|
||||
check_has_no_local(new_p, _e, "apply");
|
||||
substitution new_subst = subst.assign(g.get_name(), new_p);
|
||||
new_subst.assign(g.get_name(), new_p);
|
||||
goals new_gs = tail_gs;
|
||||
if (add_subgoals) {
|
||||
buffer<expr> metas;
|
||||
|
@ -138,7 +139,7 @@ proof_state_seq apply_tactic_core(environment const & env, io_state const & ios,
|
|||
unsigned i = metas.size();
|
||||
while (i > 0) {
|
||||
--i;
|
||||
new_gs = cons(goal(metas[i], subst.instantiate(tc.infer(metas[i]))), new_gs);
|
||||
new_gs = cons(goal(metas[i], new_subst.instantiate(tc.infer(metas[i]))), new_gs);
|
||||
}
|
||||
}
|
||||
return proof_state(new_gs, new_subst, new_ngen);
|
||||
|
@ -184,9 +185,10 @@ expr refresh_univ_metavars(expr const & e, name_generator & ngen) {
|
|||
tactic apply_tactic(expr const & e, bool refresh_univ_mvars) {
|
||||
return tactic([=](environment const & env, io_state const & ios, proof_state const & s) {
|
||||
if (refresh_univ_mvars) {
|
||||
name_generator ngen = s.get_ngen();
|
||||
expr new_e = refresh_univ_metavars(s.get_subst().instantiate(e), ngen);
|
||||
proof_state new_s(s, ngen);
|
||||
name_generator ngen = s.get_ngen();
|
||||
substitution new_subst = s.get_subst();
|
||||
expr new_e = refresh_univ_metavars(new_subst.instantiate(e), ngen);
|
||||
proof_state new_s(s.get_goals(), new_subst, ngen);
|
||||
return apply_tactic_core(env, ios, new_s, new_e, true, true);
|
||||
} else {
|
||||
return apply_tactic_core(env, ios, s, e, true, true);
|
||||
|
|
|
@ -227,7 +227,7 @@ tactic assumption_tactic() {
|
|||
}
|
||||
}
|
||||
if (h) {
|
||||
subst = subst.assign(g.get_mvar(), g.abstract(*h), justification());
|
||||
subst.assign(g.get_mvar(), g.abstract(*h), justification());
|
||||
solved = true;
|
||||
return optional<goal>();
|
||||
} else {
|
||||
|
@ -253,8 +253,8 @@ tactic exact_tactic(expr const & _e) {
|
|||
if (tc.is_def_eq(e_t, t) && !tc.next_cnstr()) {
|
||||
expr new_p = g.abstract(e);
|
||||
check_has_no_local(new_p, _e, "exact");
|
||||
substitution new_subst = subst.assign(g.get_name(), new_p);
|
||||
return some(proof_state(s, tail(gs), new_subst));
|
||||
subst.assign(g.get_name(), new_p);
|
||||
return some(proof_state(s, tail(gs), subst));
|
||||
} else {
|
||||
return none_proof_state();
|
||||
}
|
||||
|
|
|
@ -110,36 +110,36 @@ expr lambda_abstract_locals(expr const & e, buffer<expr> const & locals) {
|
|||
return v;
|
||||
}
|
||||
|
||||
static std::pair<unify_status, substitution> unify_simple_core(substitution const & s, expr const & lhs, expr const & rhs,
|
||||
justification const & j) {
|
||||
unify_status unify_simple_core(substitution & s, expr const & lhs, expr const & rhs, justification const & j) {
|
||||
lean_assert(is_meta(lhs));
|
||||
buffer<expr> args;
|
||||
auto m = is_simple_meta(lhs, args);
|
||||
if (!m || is_meta(rhs)) {
|
||||
return mk_pair(unify_status::Unsupported, s);
|
||||
return unify_status::Unsupported;
|
||||
} else {
|
||||
switch (occurs_context_check(s, rhs, *m, args)) {
|
||||
case l_false: return mk_pair(unify_status::Failed, s);
|
||||
case l_undef: mk_pair(unify_status::Unsupported, s);
|
||||
case l_false: return unify_status::Failed;
|
||||
case l_undef: return unify_status::Unsupported;
|
||||
case l_true: {
|
||||
expr v = lambda_abstract_locals(rhs, args);
|
||||
return mk_pair(unify_status::Solved, s.assign(mlocal_name(*m), v, j));
|
||||
s.assign(mlocal_name(*m), v, j);
|
||||
return unify_status::Solved;
|
||||
}}
|
||||
}
|
||||
lean_unreachable(); // LCOV_EXCL_LINE
|
||||
}
|
||||
|
||||
std::pair<unify_status, substitution> unify_simple(substitution const & s, expr const & lhs, expr const & rhs, justification const & j) {
|
||||
unify_status unify_simple(substitution & s, expr const & lhs, expr const & rhs, justification const & j) {
|
||||
if (lhs == rhs)
|
||||
return mk_pair(unify_status::Solved, s);
|
||||
return unify_status::Solved;
|
||||
else if (!has_metavar(lhs) && !has_metavar(rhs))
|
||||
return mk_pair(unify_status::Failed, s);
|
||||
return unify_status::Failed;
|
||||
else if (is_meta(lhs))
|
||||
return unify_simple_core(s, lhs, rhs, j);
|
||||
else if (is_meta(rhs))
|
||||
return unify_simple_core(s, rhs, lhs, j);
|
||||
else
|
||||
return mk_pair(unify_status::Unsupported, s);
|
||||
return unify_status::Unsupported;
|
||||
}
|
||||
|
||||
// Return true if m occurs in e
|
||||
|
@ -158,23 +158,24 @@ bool occurs_meta(level const & m, level const & e) {
|
|||
return contains;
|
||||
}
|
||||
|
||||
std::pair<unify_status, substitution> unify_simple_core(substitution const & s, level const & lhs, level const & rhs, justification const & j) {
|
||||
unify_status unify_simple_core(substitution & s, level const & lhs, level const & rhs, justification const & j) {
|
||||
lean_assert(is_meta(lhs));
|
||||
bool contains = occurs_meta(lhs, rhs);
|
||||
if (contains) {
|
||||
if (is_succ(rhs))
|
||||
return mk_pair(unify_status::Failed, s);
|
||||
return unify_status::Failed;
|
||||
else
|
||||
return mk_pair(unify_status::Unsupported, s);
|
||||
return unify_status::Unsupported;
|
||||
}
|
||||
return mk_pair(unify_status::Solved, s.assign(meta_id(lhs), rhs, j));
|
||||
s.assign(meta_id(lhs), rhs, j);
|
||||
return unify_status::Solved;
|
||||
}
|
||||
|
||||
std::pair<unify_status, substitution> unify_simple(substitution const & s, level const & lhs, level const & rhs, justification const & j) {
|
||||
unify_status unify_simple(substitution & s, level const & lhs, level const & rhs, justification const & j) {
|
||||
if (lhs == rhs)
|
||||
return mk_pair(unify_status::Solved, s);
|
||||
return unify_status::Solved;
|
||||
else if (!has_meta(lhs) && !has_meta(rhs))
|
||||
return mk_pair(unify_status::Failed, s);
|
||||
return unify_status::Failed;
|
||||
else if (is_meta(lhs))
|
||||
return unify_simple_core(s, lhs, rhs, j);
|
||||
else if (is_meta(rhs))
|
||||
|
@ -182,16 +183,16 @@ std::pair<unify_status, substitution> unify_simple(substitution const & s, level
|
|||
else if (is_succ(lhs) && is_succ(rhs))
|
||||
return unify_simple(s, succ_of(lhs), succ_of(rhs), j);
|
||||
else
|
||||
return mk_pair(unify_status::Unsupported, s);
|
||||
return unify_status::Unsupported;
|
||||
}
|
||||
|
||||
std::pair<unify_status, substitution> unify_simple(substitution const & s, constraint const & c) {
|
||||
unify_status unify_simple(substitution & s, constraint const & c) {
|
||||
if (is_eq_cnstr(c))
|
||||
return unify_simple(s, cnstr_lhs_expr(c), cnstr_rhs_expr(c), c.get_justification());
|
||||
else if (is_level_eq_cnstr(c))
|
||||
return unify_simple(s, cnstr_lhs_level(c), cnstr_rhs_level(c), c.get_justification());
|
||||
else
|
||||
return mk_pair(unify_status::Unsupported, s);
|
||||
return unify_status::Unsupported;
|
||||
}
|
||||
|
||||
static constraint g_dont_care_cnstr = mk_eq_cnstr(expr(), expr(), justification());
|
||||
|
@ -421,7 +422,7 @@ struct unifier_fn {
|
|||
*/
|
||||
bool assign(expr const & m, expr const & v, justification const & j) {
|
||||
lean_assert(is_metavar(m));
|
||||
m_subst.d_assign(m, v, j);
|
||||
m_subst.assign(m, v, j);
|
||||
expr m_type = mlocal_type(m);
|
||||
expr v_type;
|
||||
try {
|
||||
|
@ -433,7 +434,8 @@ struct unifier_fn {
|
|||
if (in_conflict())
|
||||
return false;
|
||||
justification j1 = mk_justification(m, [=](formatter const & fmt, substitution const & subst) {
|
||||
return pp_type_mismatch(fmt, subst.instantiate(m_type), subst.instantiate(v_type));
|
||||
substitution s(subst);
|
||||
return pp_type_mismatch(fmt, s.instantiate(m_type), s.instantiate(v_type));
|
||||
});
|
||||
if (!is_def_eq(m_type, v_type, mk_composite1(j1, j)))
|
||||
return false;
|
||||
|
@ -456,7 +458,7 @@ struct unifier_fn {
|
|||
*/
|
||||
bool assign(level const & m, level const & v, justification const & j) {
|
||||
lean_assert(is_meta(m));
|
||||
m_subst.d_assign(m, v, j);
|
||||
m_subst.assign(m, v, j);
|
||||
return true;
|
||||
}
|
||||
|
||||
|
@ -507,8 +509,8 @@ struct unifier_fn {
|
|||
|
||||
std::pair<constraint, bool> instantiate_metavars(constraint const & c) {
|
||||
if (is_eq_cnstr(c)) {
|
||||
auto lhs_jst = m_subst.d_instantiate_metavars(cnstr_lhs_expr(c));
|
||||
auto rhs_jst = m_subst.d_instantiate_metavars(cnstr_rhs_expr(c));
|
||||
auto lhs_jst = m_subst.instantiate_metavars(cnstr_lhs_expr(c));
|
||||
auto rhs_jst = m_subst.instantiate_metavars(cnstr_rhs_expr(c));
|
||||
expr lhs = lhs_jst.first;
|
||||
expr rhs = rhs_jst.first;
|
||||
if (lhs != cnstr_lhs_expr(c) || rhs != cnstr_rhs_expr(c)) {
|
||||
|
@ -517,8 +519,8 @@ struct unifier_fn {
|
|||
true);
|
||||
}
|
||||
} else if (is_level_eq_cnstr(c)) {
|
||||
auto lhs_jst = m_subst.d_instantiate_metavars(cnstr_lhs_level(c));
|
||||
auto rhs_jst = m_subst.d_instantiate_metavars(cnstr_rhs_level(c));
|
||||
auto lhs_jst = m_subst.instantiate_metavars(cnstr_lhs_level(c));
|
||||
auto rhs_jst = m_subst.instantiate_metavars(cnstr_rhs_level(c));
|
||||
level lhs = lhs_jst.first;
|
||||
level rhs = rhs_jst.first;
|
||||
if (lhs != cnstr_lhs_level(c) || rhs != cnstr_rhs_level(c)) {
|
||||
|
@ -839,7 +841,7 @@ struct unifier_fn {
|
|||
set_conflict(c.get_justification());
|
||||
return false;
|
||||
}
|
||||
auto m_type_jst = m_subst.d_instantiate_metavars(m_type);
|
||||
auto m_type_jst = m_subst.instantiate_metavars(m_type);
|
||||
lazy_list<constraints> alts = fn(m, m_type_jst.first, m_subst, m_ngen.mk_child());
|
||||
return process_lazy_constraints(alts, mk_composite1(c.get_justification(), m_type_jst.second));
|
||||
}
|
||||
|
@ -1377,7 +1379,9 @@ struct unifier_fn {
|
|||
}
|
||||
lean_assert(!in_conflict());
|
||||
lean_assert(m_cnstrs.empty());
|
||||
return optional<substitution>(m_subst.forget_justifications());
|
||||
substitution s = m_subst;
|
||||
s.forget_justifications();
|
||||
return optional<substitution>(s);
|
||||
}
|
||||
};
|
||||
|
||||
|
@ -1409,8 +1413,8 @@ lazy_list<substitution> unify(environment const & env, unsigned num_cs, constra
|
|||
lazy_list<substitution> unify(environment const & env, expr const & lhs, expr const & rhs, name_generator const & ngen, substitution const & s,
|
||||
unsigned max_steps) {
|
||||
substitution new_s = s;
|
||||
expr _lhs = new_s.d_instantiate(lhs);
|
||||
expr _rhs = new_s.d_instantiate(rhs);
|
||||
expr _lhs = new_s.instantiate(lhs);
|
||||
expr _rhs = new_s.instantiate(rhs);
|
||||
auto u = std::make_shared<unifier_fn>(env, 0, nullptr, ngen, new_s, false, max_steps);
|
||||
if (!u->m_tc->is_def_eq(_lhs, _rhs))
|
||||
return lazy_list<substitution>();
|
||||
|
@ -1425,7 +1429,7 @@ lazy_list<substitution> unify(environment const & env, expr const & lhs, expr co
|
|||
|
||||
static int unify_simple(lua_State * L) {
|
||||
int nargs = lua_gettop(L);
|
||||
std::pair<unify_status, substitution> r;
|
||||
unify_status r;
|
||||
if (nargs == 2)
|
||||
r = unify_simple(to_substitution(L, 1), to_constraint(L, 2));
|
||||
else if (nargs == 3 && is_expr(L, 2))
|
||||
|
@ -1436,9 +1440,7 @@ static int unify_simple(lua_State * L) {
|
|||
r = unify_simple(to_substitution(L, 1), to_expr(L, 2), to_expr(L, 3), to_justification(L, 4));
|
||||
else
|
||||
r = unify_simple(to_substitution(L, 1), to_level(L, 2), to_level(L, 3), to_justification(L, 4));
|
||||
push_integer(L, static_cast<unsigned>(r.first));
|
||||
push_substitution(L, r.second);
|
||||
return 2;
|
||||
return push_integer(L, static_cast<unsigned>(r));
|
||||
}
|
||||
|
||||
typedef lazy_list<substitution> substitution_seq;
|
||||
|
|
|
@ -32,9 +32,9 @@ enum class unify_status { Solved, Failed, Unsupported };
|
|||
|
||||
This function assumes that all assigned metavariables have been substituted.
|
||||
*/
|
||||
std::pair<unify_status, substitution> unify_simple(substitution const & s, expr const & lhs, expr const & rhs, justification const & j);
|
||||
std::pair<unify_status, substitution> unify_simple(substitution const & s, level const & lhs, level const & rhs, justification const & j);
|
||||
std::pair<unify_status, substitution> unify_simple(substitution const & s, constraint const & c);
|
||||
unify_status unify_simple(substitution & s, expr const & lhs, expr const & rhs, justification const & j);
|
||||
unify_status unify_simple(substitution & s, level const & lhs, level const & rhs, justification const & j);
|
||||
unify_status unify_simple(substitution & s, constraint const & c);
|
||||
|
||||
lazy_list<substitution> unify(environment const & env, unsigned num_cs, constraint const * cs, name_generator const & ngen,
|
||||
bool use_exception = true, unsigned max_steps = LEAN_DEFAULT_UNIFIER_MAX_STEPS);
|
||||
|
|
|
@ -75,7 +75,7 @@ static void tst1() {
|
|||
lean_assert(m1 != m2);
|
||||
expr f = Const("f");
|
||||
expr a = Const("a");
|
||||
subst = subst.assign(m1, f(a));
|
||||
subst.assign(m1, f(a));
|
||||
lean_assert(subst.is_assigned(m1));
|
||||
lean_assert(!subst.is_assigned(m2));
|
||||
lean_assert(*subst.get_expr(m1) == f(a));
|
||||
|
@ -91,8 +91,8 @@ static void tst2() {
|
|||
expr f = Const("f");
|
||||
expr g = Const("g");
|
||||
expr a = Const("a");
|
||||
s = s.assign(m1, f(m2), mk_assumption_justification(1));
|
||||
s = s.assign(m2, g(a), mk_assumption_justification(2));
|
||||
s.assign(m1, f(m2), mk_assumption_justification(1));
|
||||
s.assign(m2, g(a), mk_assumption_justification(2));
|
||||
lean_assert(check_assumptions(s.get_assignment(m1)->second, {1}));
|
||||
lean_assert(s.occurs(m1, f(m1)));
|
||||
lean_assert(s.occurs(m2, f(m1)));
|
||||
|
@ -102,22 +102,8 @@ static void tst2() {
|
|||
std::cout << s << "\n";
|
||||
auto p1 = s.instantiate_metavars(g(m1));
|
||||
check_assumptions(p1.second, {1, 2});
|
||||
lean_assert(check_assumptions(s.get_assignment(m1)->second, {1}));
|
||||
lean_assert(p1.first == g(f(g(a))));
|
||||
auto ts = s.updt_instantiate_metavars(g(m1, m3));
|
||||
s = std::get<2>(ts);
|
||||
check_assumptions(std::get<1>(ts), {1, 2});
|
||||
std::cout << std::get<0>(ts) << "\n";
|
||||
std::cout << s << "\n";
|
||||
lean_assert(check_assumptions(s.get_assignment(m1)->second, {1, 2}));
|
||||
lean_assert(std::get<0>(ts) == g(f(g(a)), m3));
|
||||
s = s.assign(m3, f(m1, m2), mk_assumption_justification(3));
|
||||
auto p3 = s.instantiate_metavars(g(m1, m3));
|
||||
lean_assert(check_assumptions(p3.second, {1, 2, 3}));
|
||||
std::cout << p3.first << "\n";
|
||||
std::cout << p3.second << "\n";
|
||||
std::cout << s << "\n";
|
||||
lean_assert_eq(p3.first, g(f(g(a)), f(f(g(a)), g(a))));
|
||||
lean_assert(p1.first == g(f(g(a))));
|
||||
}
|
||||
|
||||
static void tst3() {
|
||||
|
@ -129,7 +115,7 @@ static void tst3() {
|
|||
expr b = Const("b");
|
||||
expr x = Local("x", Prop);
|
||||
expr y = Local("y", Prop);
|
||||
s = s.assign(m1, Fun({x, y}, f(y, x)));
|
||||
s.assign(m1, Fun({x, y}, f(y, x)));
|
||||
lean_assert_eq(s.instantiate_metavars(m1(a, b, g(a))).first, f(b, a, g(a)));
|
||||
lean_assert_eq(s.instantiate_metavars(m1(a)).first, Fun(y, f(y, a)));
|
||||
lean_assert_eq(s.instantiate_metavars(m1(a, b)).first, f(b, a));
|
||||
|
@ -150,10 +136,10 @@ static void tst4() {
|
|||
expr T2 = mk_sort(u);
|
||||
expr t = f(T1, T2, m1, m2);
|
||||
lean_assert(s.instantiate_metavars(t).first == t);
|
||||
s = s.assign(m1, a, justification());
|
||||
s = s.assign(m2, m3, justification());
|
||||
s.assign(m1, a, justification());
|
||||
s.assign(m2, m3, justification());
|
||||
lean_assert(s.instantiate_metavars(t).first == f(T1, T2, a, m3));
|
||||
s = s.assign(l1, level(), justification());
|
||||
s.assign(l1, level(), justification());
|
||||
lean_assert(s.instantiate_metavars(t).first == f(Prop, T2, a, m3));
|
||||
}
|
||||
|
||||
|
|
|
@ -12,7 +12,7 @@ local m = mk_metavar("m", Prop)
|
|||
local j2 = justification("expresion must be a Proposition", env, g(m))
|
||||
print(j2:pp())
|
||||
local s = substitution()
|
||||
s = s:assign(m, f(a))
|
||||
s:assign(m, f(a))
|
||||
print(j2:pp(s))
|
||||
local j3 = assumption_justification(1)
|
||||
assert(not j2:depends_on(1))
|
||||
|
|
|
@ -7,22 +7,22 @@ local f = Const("f")
|
|||
local g = Const("g")
|
||||
local a = Const("a")
|
||||
local t = f(f(a))
|
||||
s = s:assign(m, t)
|
||||
s:assign(m, t)
|
||||
assert(s:is_assigned(m))
|
||||
assert(s:is_expr_assigned("m"))
|
||||
assert(not s:is_level_assigned("m"))
|
||||
assert(s:instantiate(g(m)) == g(t))
|
||||
s = s:assign("m", a)
|
||||
s:assign("m", a)
|
||||
assert(s:instantiate(g(m)) == g(a))
|
||||
local l = mk_level_one()
|
||||
local u = mk_meta_univ("u")
|
||||
s = s:assign(u, l)
|
||||
s:assign(u, l)
|
||||
assert(s:is_assigned(u))
|
||||
assert(s:is_level_assigned("u"))
|
||||
assert(not s:is_expr_assigned("u"))
|
||||
assert(s:get_expr("m") == a)
|
||||
local m2 = mk_metavar("m2", Prop)
|
||||
s = s:assign(m2, f(m))
|
||||
s:assign(m2, f(m))
|
||||
print(s:get_expr("m2"))
|
||||
assert(s:occurs(m, f(m2)))
|
||||
assert(s:occurs_expr("m", f(m2)))
|
||||
|
|
|
@ -1,6 +1,7 @@
|
|||
function test_unify_simple(lhs, rhs, expected)
|
||||
print(tostring(lhs) .. " =?= " .. tostring(rhs) .. ", expected: " .. tostring(expected))
|
||||
r, s = unify_simple(substitution(), lhs, rhs, justification())
|
||||
s = substitution()
|
||||
r = unify_simple(s, lhs, rhs, justification())
|
||||
if r == unify_status.Solved then
|
||||
s:for_each_expr(function(n, v, j)
|
||||
print(" " .. tostring(n) .. " := " .. tostring(v))
|
||||
|
|
Loading…
Reference in a new issue