//USING USED VARIABLE NEEDED
public List <Connective> ApplyGammaTableauxRules(List <char> usedArguments)
{
List <Connective> results = new List <Connective>();
if (usedArguments.Count > 0)
{
if (element.IsNormalProposition())
{
return(results);
}
if (element is QuantifierForAll)
{
QuantifierForAll qfa = (QuantifierForAll)element;
char qfaArgument = qfa.Argument;
QuantifierForAll qfaCopy;
foreach (char c in usedArguments) //try changing arguments
{
qfaCopy = (QuantifierForAll)qfa.Copy();
if (qfaCopy.Con1.ChangeLocalArgument(qfaArgument, c))
{
results.Add(qfaCopy.Con1);
}
}
if (results.Count > 0) //succesfully changed arguments
{
results.Add(qfa);
}
}
else if (element is ConnectiveNot)
{
ConnectiveNot cn = (ConnectiveNot)element;
if (cn.Con1 is QuantifierExists)
{
QuantifierExists qe = (QuantifierExists)cn.Con1;
char qeArgument = qe.Argument;
QuantifierExists qeCopy;
foreach (char c in usedArguments) //try changing arguments
{
qeCopy = (QuantifierExists)qe.Copy();
if (qeCopy.Con1.ChangeLocalArgument(qeArgument, c))
{
ConnectiveNot newNot = new ConnectiveNot();
newNot.setLeftConnective(qeCopy.Con1);
results.Add(newNot);
}
}
if (results.Count > 0) //succesfully changed arguments
{
results.Add(cn.Copy());
}
}
}
}
return(results);
}
//CREATING A NEW VARIABLE NEEDED
public List <Connective> ApplyDeltaTableauxRules(List <char> usedArguments, List <char> availableArguments)
{
List <Connective> results = new List <Connective>();
if (element.IsNormalProposition())
{
return(results);
}
if (element is QuantifierExists)
{
QuantifierExists qe = (QuantifierExists)element;
QuantifierExists qeCopy = (QuantifierExists)element.Copy();
char qeArgument = qe.Argument;
if (availableArguments.Count > 0)
{
if (qeCopy.ChangeLocalArgument(qeArgument, availableArguments[0]))
{
usedArguments.Add(availableArguments[0]);
availableArguments.RemoveAt(0);
Connective newElement = qeCopy.Con1;
results.Add(newElement);
}
}
else
{
throw new Exception("Not enough available arguments");
}
}
else if (element is ConnectiveNot)
{
ConnectiveNot cn = (ConnectiveNot)element;
if (cn.Con1 is QuantifierForAll)
{
QuantifierForAll qfa = (QuantifierForAll)cn.Con1;
QuantifierForAll qfaCopy = (QuantifierForAll)cn.Con1.Copy();
char qfaArgument = qfa.Argument;
if (availableArguments.Count > 0)
{
if (qfaCopy.ChangeLocalArgument(qfaArgument, availableArguments[0]))
{
usedArguments.Add(availableArguments[0]);
availableArguments.RemoveAt(0);
ConnectiveNot newNot = new ConnectiveNot();
newNot.setLeftConnective(qfaCopy.Con1);
Connective newElement = newNot;
results.Add(newElement.Copy());
}
}
else
{
throw new Exception("Not enough available arguments");
}
}
}
return(results);
}
