37 lines
1.4 KiB
C++
37 lines
1.4 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 "kernel/expr.h"
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namespace lean {
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/**
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\brief Replace the free variables with indices 0, ..., n-1 with s[n-1], ..., s[0] in e.
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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 instantiate_with_closed(expr const & e, unsigned n, expr const * s);
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inline expr instantiate_with_closed(expr const & e, std::initializer_list<expr> const & l) {
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return instantiate_with_closed(e, l.size(), l.begin());
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}
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inline expr instantiate_with_closed(expr const & e, expr const & s) { return instantiate_with_closed(e, 1, &s); }
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/**
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\brief Replace the free variables with indices 0, ..., n-1 with s[n-1], ..., s[0] in e.
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*/
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expr instantiate(expr const & e, unsigned n, expr const * s);
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inline expr instantiate(expr const & e, std::initializer_list<expr> const & l) { return instantiate(e, l.size(), l.begin()); }
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inline expr instantiate(expr const & e, expr const & s) { return instantiate(e, 1, &s); }
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/**
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\brief Replace free variable \c i with \c s in \c e.
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*/
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expr instantiate(expr const & e, unsigned i, expr const & s);
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expr apply_beta(expr f, unsigned num_args, expr const * args);
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bool is_head_beta(expr const & t);
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expr head_beta_reduce(expr const & t);
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expr beta_reduce(expr t);
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}
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