internal override Automaton <IMonadicPredicate <BDD, T> > getAutomaton(SimpleList <Variable> variables, ICartesianAlgebraBDD <T> alg)
{
//the existential variable will shadow any previous occurrence with the same name
//because when looking up the index of var it will be the last occurrence
var varIndex = variables.Count;
var variablesExt = variables.Append(var);
var autPhi = phi.getAutomaton(variablesExt, alg);
//Project away the the existential variable
var newMoves = new List <Move <IMonadicPredicate <BDD, T> > >();
foreach (var move in autPhi.GetMoves())
{
var newPred = alg.Omit(varIndex, move.Label);
newMoves.Add(new Move <IMonadicPredicate <BDD, T> >(move.SourceState, move.TargetState, newPred));
}
var res = Automaton <IMonadicPredicate <BDD, T> > .Create(alg, autPhi.InitialState, autPhi.GetFinalStates(), newMoves);
//var res = res.Determinize(alg);
var res_min = res.Minimize(alg);
return(res_min);
}
//TBD: enable singleton-set-semantics
internal override Automaton <IMonadicPredicate <BDD, T> > GetAutomatonX(SimpleList <Variable> variables, ICartesianAlgebraBDD <T> alg, bool singletonSetSemantics)
{
//the existential variable will shadow any previous occurrence with the same name
//because when looking up the index of var it will be the last occurrence
var varIndex = variables.Count;
var variablesExt = variables.Append(var);
var autPhi = phi.GetAutomatonX(variablesExt, alg, singletonSetSemantics);
Automaton <IMonadicPredicate <BDD, T> > autEx;
if (this.IsFirstOrder)
{
if (singletonSetSemantics)
{
autEx = autPhi.Intersect(BasicAutomata.MkSingleton <T>(varIndex, alg)).Minimize();
}
else
{
autEx = autPhi.Intersect(BasicAutomata.MkIsNonempty <T>(varIndex, alg)).Minimize();
}
}
else
{
autEx = autPhi;
}
//Project away the the existential variable
var newMoves = new List <Move <IMonadicPredicate <BDD, T> > >();
foreach (var move in autEx.GetMoves())
{
newMoves.Add(new Move <IMonadicPredicate <BDD, T> >(move.SourceState, move.TargetState, alg.Omit(varIndex, move.Label)));
}
var aut = Automaton <IMonadicPredicate <BDD, T> > .Create(alg, autEx.InitialState, autEx.GetFinalStates(), newMoves);
var res = aut.Determinize();
res = res.Minimize();
return(res);
}