refactor(kernel): remove telescope type, and procedures

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
This commit is contained in:
Leonardo de Moura 2014-05-17 10:51:40 -07:00
parent 7142c0fed3
commit aafdd98acb
5 changed files with 1 additions and 41 deletions

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@ -28,19 +28,6 @@ expr abstract(expr const & e, unsigned s, unsigned n, expr const * subst) {
expr abstract(expr const & e, unsigned n, expr const * subst) { return abstract(e, 0, n, subst); }
expr abstract(expr const & e, expr const & s, unsigned i) { return abstract(e, i, 1, &s); }
telescope abstract(telescope const & t, expr const & s, unsigned i) {
if (is_nil(t)) {
return t;
} else {
binder const & b = head(t);
return telescope(b.update_type(abstract(b.get_type(), s, i)),
abstract(tail(t), s, i+1));
}
}
telescope abstract(telescope const & t, expr const & s) { return abstract(t, s, 0); }
expr abstract_p(expr const & e, unsigned n, expr const * s) {
lean_assert(std::all_of(s, s+n, closed));
return replace(e, [=](expr const & e, unsigned offset) -> optional<expr> {

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@ -19,17 +19,9 @@ namespace lean {
expr abstract(expr const & e, unsigned n, expr const * s);
inline expr abstract(expr const & e, expr const & s) { return abstract(e, 1, &s); }
inline expr abstract(expr const & e, std::initializer_list<expr> const & l) { return abstract(e, l.size(), l.begin()); }
/** \brief Replace s with variable #i in the given telescope. \pre s is closed */
/** \brief Replace s with variable #i in the given expression. \pre s is closed */
expr abstract(expr const & e, expr const & s, unsigned i);
/**
\brief Replace s with variable #i in the given telescope.
\pre s is closed
*/
telescope abstract(telescope const & t, expr const & s, unsigned i);
/** \brief Replace s with variable #0 in the given telescope. */
telescope abstract(telescope const & t, expr const & s);
/**
\brief Replace the expressions s[0], ..., s[n-1] in e with var(n-1), ..., var(0).

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@ -267,9 +267,6 @@ public:
binder update_type(expr const & t) const { return binder(m_name, t, m_info); }
};
// Remark: in a telescope T, variable 0 is the last element of the list, and head(T) is variable #(length(T) - 1)
typedef list<binder> telescope;
/** \brief Lambda and Pi expressions */
class expr_binding : public expr_composite {
binder m_binder;

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@ -40,17 +40,6 @@ expr instantiate(expr const & e, std::initializer_list<expr> const & l) { retur
expr instantiate(expr const & e, unsigned i, expr const & s) { return instantiate(e, i, 1, &s); }
expr instantiate(expr const & e, expr const & s) { return instantiate(e, 0, s); }
telescope instantiate(telescope const & t, unsigned i, expr const & s) {
if (is_nil(t)) {
return t;
} else {
binder const & b = head(t);
return telescope(b.update_type(instantiate(b.get_type(), i, s)),
instantiate(tail(t), i+1, s));
}
}
telescope instantiate(telescope const & t, expr const & s) { return instantiate(t, s); }
bool is_head_beta(expr const & t) {
expr const * it = &t;
while (is_app(*it)) {

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@ -18,11 +18,6 @@ expr instantiate(expr const & e, unsigned i, expr const & s);
/** \brief Replace free variable \c 0 with \c s in \c e. */
expr instantiate(expr const & e, expr const & s);
/** \brief Replace free variable \c i with \c s in the telescope t. */
telescope instantiate(telescope const & t, unsigned i, expr const & s);
/** \brief Replace free variable \c 0 with \c s in the telescope t. */
telescope instantiate(telescope const & t, expr const & s);
expr apply_beta(expr f, unsigned num_args, expr const * args);
bool is_head_beta(expr const & t);
expr head_beta_reduce(expr const & t);