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								#ifndef YAP_PACKAGES_CLPBN_HORUS_LIFTEDUTILS_H_
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								#define YAP_PACKAGES_CLPBN_HORUS_LIFTEDUTILS_H_
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								#include <vector>
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								#include <unordered_map>
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								#include <string>
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								#include <ostream>
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								#include "TinySet.h"
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								#include "Util.h"
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								namespace Horus {
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								class Symbol {
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								  public:
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								    Symbol() : id_(Util::maxUnsigned()) { }
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								    Symbol (unsigned id) : id_(id) { }
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								    operator unsigned() const { return id_; }
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								    bool valid() const { return id_ != Util::maxUnsigned(); }
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								    static Symbol invalid() { return Symbol(); }
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								  private:
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								    friend std::ostream& operator<< (std::ostream&, const Symbol&);
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								    unsigned id_;
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								};
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								class LogVar {
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								  public:
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								    LogVar() : id_(Util::maxUnsigned()) { }
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								    LogVar (unsigned id) : id_(id) { }
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								    operator unsigned() const  { return id_; }
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								    LogVar& operator++();
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								    bool valid() const;
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								  private:
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								    friend std::ostream& operator<< (std::ostream&, const LogVar&);
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								    unsigned id_;
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								};
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								inline LogVar&
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								LogVar::operator++()
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								{
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								  assert (valid());
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								  id_ ++;
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								  return *this;
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								}
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								inline bool
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								LogVar::valid() const
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								{
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								  return id_ != Util::maxUnsigned();
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								}
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								}  // namespace Horus
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								namespace std {
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								template <> struct hash<Horus::Symbol> {
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								  size_t operator() (const Horus::Symbol& s) const {
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								    return std::hash<unsigned>() (s);
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								}};
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								template <> struct hash<Horus::LogVar> {
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								  size_t operator() (const Horus::LogVar& X) const {
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								    return std::hash<unsigned>() (X);
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								}};
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								}  // namespace std
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								namespace Horus {
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								typedef std::vector<Symbol>  Symbols;
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								typedef std::vector<Symbol>  Tuple;
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								typedef std::vector<Tuple>   Tuples;
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								typedef std::vector<LogVar>  LogVars;
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								typedef TinySet<Symbol>      SymbolSet;
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								typedef TinySet<LogVar>      LogVarSet;
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								typedef TinySet<Tuple>       TupleSet;
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								std::ostream& operator<< (std::ostream&, const Tuple&);
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								namespace LiftedUtils {
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								Symbol getSymbol (const std::string&);
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								void printSymbolDictionary();
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								}
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								class Ground {
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								  public:
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								    Ground (Symbol f) : functor_(f) { }
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								    Ground (Symbol f, const Symbols& args)
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								        : functor_(f), args_(args) { }
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								    Symbol functor() const { return functor_; }
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								    Symbols args() const { return args_; }
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								    size_t arity() const { return args_.size(); }
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								    bool isAtom() const { return args_.empty(); }
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								  private:
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								    friend std::ostream& operator<< (std::ostream&, const Ground&);
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								    Symbol   functor_;
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								    Symbols  args_;
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								};
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								typedef std::vector<Ground> Grounds;
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								class Substitution {
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								  public:
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								    void add (LogVar X_old, LogVar X_new);
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								    void rename (LogVar X_old, LogVar X_new);
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								    LogVar newNameFor (LogVar X) const;
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								    bool containsReplacementFor (LogVar X) const;
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								    size_t nrReplacements() const;
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								    LogVars getDiscardedLogVars() const;
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								  private:
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								    friend std::ostream& operator<< (
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								        std::ostream&, const Substitution&);
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								    std::unordered_map<LogVar, LogVar> subs_;
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								};
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								inline void
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								Substitution::add (LogVar X_old, LogVar X_new)
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								{
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								  assert (Util::contains (subs_, X_old) == false);
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								  subs_.insert (std::make_pair (X_old, X_new));
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								}
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								inline void
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								Substitution::rename (LogVar X_old, LogVar X_new)
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								{
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								  assert (Util::contains (subs_, X_old));
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								  subs_.find (X_old)->second = X_new;
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								}
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								inline LogVar
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								Substitution::newNameFor (LogVar X) const
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								{
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								  std::unordered_map<LogVar, LogVar>::const_iterator it;
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								  it = subs_.find (X);
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								  if (it != subs_.end()) {
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								    return subs_.find (X)->second;
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								  }
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								  return X;
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								}
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								inline bool
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								Substitution::containsReplacementFor (LogVar X) const
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								{
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								  return Util::contains (subs_, X);
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								}
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								inline size_t
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								Substitution::nrReplacements() const
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								{
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								  return subs_.size();
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								}
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								}  // namespace Horus
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								#endif  // YAP_PACKAGES_CLPBN_HORUS_LIFTEDUTILS_H_
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