64 lines
2.9 KiB
C++
64 lines
2.9 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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class metavar_env;
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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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\remark When the parameter menv is not none, this function will minimize the use
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of the local entry inst in metavariables occurring in \c e.
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*/
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expr instantiate_with_closed(expr const & e, unsigned n, expr const * s, optional<metavar_env> const & menv);
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expr instantiate_with_closed(expr const & e, unsigned n, expr const * s, metavar_env const & menv);
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expr instantiate_with_closed(expr const & e, unsigned n, expr const * s);
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expr instantiate_with_closed(expr const & e, std::initializer_list<expr> const & l);
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expr instantiate_with_closed(expr const & e, expr const & s, optional<metavar_env> const & menv);
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expr instantiate_with_closed(expr const & e, expr const & s, metavar_env const & menv);
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expr instantiate_with_closed(expr const & e, expr const & 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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\remark When the parameter menv is not none, this function will minimize the use
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of the local entry inst in metavariables occurring in \c e.
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*/
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expr instantiate(expr const & e, unsigned n, expr const * s, optional<metavar_env> const & menv);
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expr instantiate(expr const & e, unsigned n, expr const * s, metavar_env const & menv);
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expr instantiate(expr const & e, unsigned n, expr const * s);
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expr instantiate(expr const & e, std::initializer_list<expr> const & l);
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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, optional<metavar_env> const & menv);
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expr instantiate(expr const & e, unsigned i, expr const & s, metavar_env const & menv);
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expr instantiate(expr const & e, unsigned i, expr const & s);
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/**
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\brief Replace free variable \c 0 with \c s in \c e.
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*/
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expr instantiate(expr const & e, expr const & s, optional<metavar_env> const & menv);
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expr instantiate(expr const & e, expr const & s, metavar_env const & menv);
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expr instantiate(expr const & e, expr const & s);
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expr apply_beta(expr f, unsigned num_args, expr const * args, optional<metavar_env> const & menv);
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expr apply_beta(expr f, unsigned num_args, expr const * args, metavar_env const & menv);
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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, optional<metavar_env> const & menv);
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expr head_beta_reduce(expr const & t, metavar_env const & menv);
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expr head_beta_reduce(expr const & t);
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expr beta_reduce(expr t, optional<metavar_env> const & menv);
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expr beta_reduce(expr t, metavar_env const & menv);
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expr beta_reduce(expr t);
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}
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