I have redesigned and extended the grammar I asked about earlier as shown below: 
// BIFAnalyser.cpp : Defines the entry point for the console application.
//
//
/*=============================================================================
    Copyright (c) Temitope Jos Onunkun 2010 
    http://www.dcs.kcl.ac.uk/pg/onun/
Use, modification and distribution is subject to the Boost Software
License, Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
http://www.boost.org/LICENSE_1_0.txt)
=============================================================================*/
////////////////////////////////////////////////////////////////////////////
//                                                                        //
//  B Machine parser using the Boost "Grammar" and "Semantic Actions".    // 
//                                                                        //
////////////////////////////////////////////////////////////////////////////
include 
include 
include 
include 
include 
include 
////////////////////////////////////////////////////////////////////////////
using namespace std;
using namespace boost::spirit;
////////////////////////////////////////////////////////////////////////////
//
//  Semantic Actions
//
////////////////////////////////////////////////////////////////////////////
//
//
namespace 
{
//semantic action function on individual lexeme
    void    do_noint(char const* start, char const* end)
    {
        string  str(start, end);
if (str != "NAT1")
        cout << "PUSH(" << str << ')' << endl;
    }
//semantic action function on addition of lexemes
    void do_add(char const*, char const*)
 { 
  cout << "ADD" << endl; 
 // for(vector::iterator vi = strVect.begin(); vi < strVect.end(); ++vi)
 //  cout << *vi << " ";
 }
//semantic action function on subtraction of lexemes
    void do_subt(char const*, char const*)
 { 
  cout << "SUBTRACT" << endl; 
 }
//semantic action function on multiplication of lexemes
    void do_mult(char const*, char const*)
 { 
  cout << "\nMULTIPLY" << endl;
 }
//semantic action function on division of lexemes
    void do_div(char const*, char const*)
 { 
  cout << "\nDIVIDE" << endl; 
}
//
//
vector  flowTable;
//semantic action function on simple substitution
    void do_sSubst(char const* start, char const* end)
 { 
  string  str(start, end);
//use boost tokenizer to break down tokens
  typedef boost::tokenizer  Tokenizer;
  boost::char_separator sep(" -+/*:=()",0,boost::drop_empty_tokens); // char separator definition
        Tokenizer tok(str, sep);
  Tokenizer::iterator tok_iter = tok.begin();
pair dependency; //create a pair object for dependencies
//create a vector object to store all tokens 
  vector dx;
   // 
int counter = 0; // tracks token position
for(tok.begin(); tok_iter != tok.end(); ++tok_iter)  //save all tokens in vector
  {
   dx.push_back(*tok_iter );
  }
  counter = dx.size();
//
  vector d_hat; //stores set of dependency pairs
string dep; //pairs variables as string object
//
  dependency.first = *tok.begin();
  vector FV;
for(int unsigned i=1; i < dx.size(); i++)
  {
    //
   if(!atoi(dx.at(i).c_str()) && (dx.at(i) !=" ")) 
   {
    dependency.second = dx.at(i);
    dep = dependency.first + "|-" + dependency.second + " ";
    d_hat.push_back(dep);
vector<string> row; 
row.push_back(dependency.first);  //push x_hat into first column of each row
for(unsigned int j=0; j<2; j++)
{
 row.push_back(dependency.second);//push an element (column) into the row
}
flowTable.push_back(row); //Add the row to the main vector
}
  }
//displays internal representation of information flow table
  cout << "\n****************\nDependency Table\n****************\n";
  cout << "X_Hat\tDx\tG_Hat\n";
  cout << "-----------------------------\n";
  for(unsigned int  i=0; i < flowTable.size(); i++)
  {
   for(unsigned int j=0; j<2; j++)
   {
    cout << flowTable[i][j] << "\t ";
   }
   if (*tok.begin() != "WHILE" ) //if there are no global flows,
    cout << "\t{}";     //display empty set 
cout << "\n";
  } 
  cout << "***************\n\n";
for(int unsigned j=0; j < FV.size(); j++)
  {
   if(FV.at(j) != dependency.second)
    dep = dependency.first + "|-" + dependency.second + " ";
   d_hat.push_back(dep);
  }
cout << "PUSH(" << str << ')' << endl;
cout << "\n*******\nDependency pairs\n*******\n";
for(int unsigned i=0; i < d_hat.size(); i++)
   cout << d_hat.at(i) << "\n...\n";
cout << "\nSIMPLE SUBSTITUTION\n\n";
}
//semantic action function on multiple substitution
void do_mSubst(char const* start, char const* end)
 { 
  string  str(start, end);
cout << "PUSH(" << str << ')' << endl;
  //cout << "\nMULTIPLE SUBSTITUTION\n\n";
 } 
//semantic action function on unbounded choice substitution
 void do_mChoice(char const* start, char const* end)
 { 
  string  str(start, end);
cout << "PUSH(" << str << ')' << endl;
  cout << "\nUNBOUNDED CHOICE SUBSTITUTION\n\n";
 } 
void do_logicExpr(char const* start, char const* end)
 { 
  string  str(start, end);
//use boost tokenizer to break down tokens
  typedef boost::tokenizer  Tokenizer;
  boost::char_separator sep(" -+/*=:()<",0,boost::drop_empty_tokens); // char separator definition
        Tokenizer tok(str, sep);
  Tokenizer::iterator tok_iter = tok.begin();
//pair dependency; //create a pair object for dependencies
//create a vector object to store all tokens 
  vector dx;
for(tok.begin(); tok_iter != tok.end(); ++tok_iter)  //save all tokens in vector
  {
   dx.push_back(*tok_iter );
  }
for(unsigned int i=0; i
cout << "PUSH(" << str << ')' << endl;
  cout << "\nPREDICATE\n\n";
 } 
void  do_predicate(char const* start, char const* end)
 { 
  string  str(start, end);
cout << "PUSH(" << str << ')' << endl;
  cout << "\nMULTIPLE PREDICATE\n\n";
 } 
void do_ifSelectPre(char const* start, char const* end)
 { 
  string  str(start, end);
//if
cout << "PUSH(" << str << ')' << endl;
  cout << "\nPROTECTED SUBSTITUTION\n\n";
 } 
//semantic action function on machine substitution
 void do_machSubst(char const* start, char const* end)
 { 
  string  str(start, end);
cout << "PUSH(" << str << ')' << endl;
  cout << "\nMACHINE SUBSTITUTION\n\n";
 } 
} 
////////////////////////////////////////////////////////////////////////////
//
//  Machine Substitution Grammar
//
////////////////////////////////////////////////////////////////////////////
//  Simple substitution grammar parser with integer values removed
struct Substitution : public grammar
{
    template 
    struct definition
    {
        definition(Substitution const& )
        {
machine_subst
     = (  (simple_subst)
        | (multi_subst)
        | (if_select_pre_subst)
        | (unbounded_choice) )[&do_machSubst]
     ;
unbounded_choice
     = str_p("ANY")  ide_list
  
    str_p("WHERE")  predicate
    str_p("THEN")
    machine_subst
    str_p("END")
         ;
  
if_select_pre_subst
     = (  (  str_p("IF")  predicate  str_p("THEN")  machine_subst 
  
    *( str_p("ELSIF")  predicate  machine_subst )
    !( str_p("ELSE")  machine_subst) 
    str_p("END") )
         | ( str_p("SELECT")  predicate  str_p("THEN")  machine_subst
    *( str_p("WHEN")  predicate  machine_subst )
    !( str_p("ELSE")  machine_subst) 
    str_p("END"))
         | ( str_p("PRE")  predicate  str_p("THEN")  machine_subst 
    str_p("END") )  )[&do_ifSelectPre]
         ;
  
multi_subst
     = ( (machine_subst) 
  
    *( ( str_p("||")  (machine_subst) ) 
         |     ( str_p("[]")  (machine_subst) ) )  ) [&do_mSubst]
         ;
  
simple_subst
     = (identifier
  
    str_p(":=")  arith_expr) [&do_sSubst]
         ;
  
expression
     = predicate
     | arith_expr
     ;
predicate
     = ( (logic_expr) 
  
    *( ( ch_p('&')  (logic_expr) )
         |   ( str_p("OR")  (logic_expr) ) ) )[&do_predicate]
         ;
  
logic_expr 
     = ( identifier
  
    (str_p("<")  arith_expr)
         | (str_p("<")   arith_expr)
         | (str_p("/:")   arith_expr)
         | (str_p("<:")   arith_expr)
         | (str_p("/<:")   arith_expr)
         | (str_p("<<:")   arith_expr)
         | (str_p("/<<:")   arith_expr)
         | (str_p("<=")   arith_expr)
         | (str_p("=")   arith_expr)
         | (str_p("=")   arith_expr)
         | (str_p("=")   arith_expr)
         )  [&do_logicExpr]
         ;
  
arith_expr
     =   term
  
    *(   ('+'  term)[&do_add]
         |   ('-'  term)[&do_subt] )
              ;
  
term
     =   factor
  
    (   (''  factor)[&do_mult]
         |   ('/'  factor)[&do_div]  )
         ;
  
factor
     =   lexeme_d[( identifier | +digit_p)[&do_noint]]
          |   '('  expression  ')'
          |   ('+'  factor)
          ;
ide_list
     = identifier 
  
    *( ch_p(',')  identifier )
         ;
  
identifier
     = alpha_p  +( alnum_p | ch_p('_') )
     ;
}
rule machine_subst, unbounded_choice, if_select_pre_subst, multi_subst, 
        simple_subst, expression, predicate, logic_expr, arith_expr, 
        term, factor, ide_list, identifier;
    rule<ScannerT> const&
    start() const 
{ 
   return predicate; 
   //return multi_subst; 
   //return machine_subst; 
  }
    };
};
////////////////////////////////////////////////////////////////////////////
//
//  Main program
//
////////////////////////////////////////////////////////////////////////////
int
main()
{
    cout << "*********************************\n\n";
    cout << "\t\t...Machine Parser...\n\n";
    cout << "*********************************\n\n";
   // cout << "Type an expression...or [q or Q] to quit\n\n";
string str;
 int machineCount = 0;
 char strFilename[256]; //file name store as a string object
 do
 {
cout << "Please enter a filename...or [q or Q] to quit:\n\n "; //prompt for file name to be input
 //char strFilename[256]; //file name store as a string object
 cin  strFilename;
if(*strFilename == 'q' || *strFilename == 'Q') //termination condition
   return 0;
ifstream inFile(strFilename); // opens file object for reading
 //output file for truncated machine (operations only)
if (inFile.fail())
   cerr << "\nUnable to open file for reading.\n" << endl;
inFile.unsetf(std::ios::skipws); 
Substitution elementary_subst;  //  Simple substitution parser object
string next;
while (inFile  str)
    {
  getline(inFile, next);
str += next;
    if (str.empty() || str[0] == 'q' || str[0] == 'Q')
        break;
parse_info< info = parse(str.c_str(), elementary_subst  !end_p, space_p);
if (info.full)
   {
    cout << "\n-------------------------\n";
    cout << "Parsing succeeded\n";
    cout << "\n-------------------------\n";
   }
   else
   {
    cout << "\n-------------------------\n";
    cout << "Parsing failed\n";
    cout << "stopped at: " << info.stop << "\"\n";
    cout << "\n-------------------------\n";
   }
}
}
while ( (*strFilename != 'q' || *strFilename !='Q')); 
return 0;
}
However, I am experiencing the following unexpected behaviours on testing:
The text files I used are:
f1.txt,  ... containing ...:  debt:=(LoanRequest+outstandingLoan1)*20 .
f2.txt,  ... containing ...:  debt:=(LoanRequest+outstandingLoan1)*20 || newDebt := loanammount-paidammount || price := purchasePrice + overhead + bb .
f3.txt,  ... containing ...:  yy < (xx+7+ww) .
f4.txt,  ... containing ...:  yy < (xx+7+ww) & yy : NAT .
When I use multi_subst as start rule both files (f1 and f2) are parsed correctly;
When I use machine_subst as start rule file f1 parse correctly, while file f2 fails, producing the error: “Parsing failed 
stopped at:  || newDebt := loanammount-paidammount || price := purchasePrice + overhead + bb”
When I use predicate as start symbol, file f3 parse correctly, but file f4 yields the error: “ 
“Parsing failed
stopped at:  & yy : NAT”
Can anyone help with the grammar, please? It appears there are problems with the grammar that I have so far been unable to spot.