52 lines
2.6 KiB
C++
52 lines
2.6 KiB
C++
/*
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Copyright (c) 2013 Microsoft Corporation. All rights reserved.
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Released under Apache 2.0 license as described in the file LICENSE.
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Author: Leonardo de Moura
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*/
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#pragma once
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#include <utility>
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#include "kernel/expr.h"
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namespace lean {
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/**
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\brief Replace the expressions s[0], ..., s[n-1] in e with var(n-1), ..., var(0).
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Structural equality is used to compare subexpressions of e with the s[i]'s.
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\pre s[0], ..., s[n-1] must be closed expressions (i.e., no free variables).
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*/
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expr abstract(expr const & e, unsigned n, expr const * s);
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inline expr abstract(expr const & e, expr const & s) { return abstract(e, 1, &s); }
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inline expr abstract(expr const & e, std::initializer_list<expr> const & l) { return abstract(e, l.size(), l.begin()); }
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/** \brief Replace s with variable #i in the given expression. \pre s is closed */
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expr abstract(expr const & e, expr const & s, unsigned i);
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/** \brief Similar to abstract, but all values in s are local constants. */
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expr abstract_locals(expr const & e, unsigned n, expr const * s);
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inline expr abstract_local(expr const & e, expr const & s) { return abstract_locals(e, 1, &s); }
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/**
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\brief Create a lambda expression (lambda (x : t) b), the term b is abstracted using abstract(b, constant(x)).
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*/
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inline expr Fun(name const & n, expr const & t, expr const & b, binder_info const & bi = binder_info()) {
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return mk_lambda(n, t, abstract(b, mk_constant(n)), bi);
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}
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/** \brief Create a lambda-expression by abstracting the given local constants over b */
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expr Fun(unsigned num, expr const * locals, expr const & b);
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inline expr Fun(expr const & local, expr const & b) { return Fun(1, &local, b); }
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inline expr Fun(std::initializer_list<expr> const & locals, expr const & b) { return Fun(locals.size(), locals.begin(), b); }
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template<typename T> expr Fun(T const & locals, expr const & b) { return Fun(locals.size(), locals.data(), b); }
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/**
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\brief Create a Pi expression (pi (x : t) b), the term b is abstracted using abstract(b, constant(x)).
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*/
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inline expr Pi(name const & n, expr const & t, expr const & b, binder_info const & bi = binder_info()) {
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return mk_pi(n, t, abstract(b, mk_constant(n)), bi);
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}
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/** \brief Create a Pi-expression by abstracting the given local constants over b */
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expr Pi(unsigned num, expr const * locals, expr const & b);
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inline expr Pi(expr const & local, expr const & b) { return Pi(1, &local, b); }
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inline expr Pi(std::initializer_list<expr> const & locals, expr const & b) { return Pi(locals.size(), locals.begin(), b); }
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template<typename T> expr Pi(T const & locals, expr const & b) { return Pi(locals.size(), locals.data(), b); }
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}
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