@Override
    public ARGPath getNextPathForInterpolation() {
      ARGState current = sources.remove(0);

      assert current.isTarget() : "current element is not a target";

      ARGPathBuilder errorPathBuilder = ARGPath.reverseBuilder();

      errorPathBuilder.add(
          current, FluentIterable.from(AbstractStates.getOutgoingEdges(current)).first().orNull());

      while (predecessorRelation.get(current) != null) {

        ARGState parent = predecessorRelation.get(current);

        if (stateHasFalseInterpolant(parent)) {
          logger.log(
              Level.FINEST,
              "interpolant on path, namely for state ",
              parent.getStateId(),
              " is already false, so return empty path");
          return EMPTY_PATH;
        }

        if (predecessorRelation.get(parent) != null) {
          errorPathBuilder.add(parent, parent.getEdgeToChild(current));
        }

        current = parent;
      }

      return errorPathBuilder.build(current);
    }
    @Override
    public ARGPath getNextPathForInterpolation() {
      ARGPathBuilder errorPathBuilder = ARGPath.builder();

      ARGState current = sources.pop();

      if (!isValidInterpolationRoot(predecessorRelation.get(current))) {
        logger.log(
            Level.FINEST,
            "interpolant of predecessor of ",
            current.getStateId(),
            " is already false, so return empty path");
        return EMPTY_PATH;
      }

      // if the current state is not the root, it is a child of a branch , however, the path should
      // not start with the
      // child, but with the branching node (children are stored on the stack because this needs
      // less book-keeping)
      if (current != root) {
        errorPathBuilder.add(
            predecessorRelation.get(current),
            predecessorRelation.get(current).getEdgeToChild(current));
      }

      while (successorRelation.get(current).iterator().hasNext()) {
        Iterator<ARGState> children = successorRelation.get(current).iterator();
        ARGState child = children.next();
        errorPathBuilder.add(current, current.getEdgeToChild(child));

        // push all other children of the current state, if any, onto the stack for later
        // interpolations
        int size = 1;
        while (children.hasNext()) {
          size++;
          ARGState sibling = children.next();
          logger.log(
              Level.FINEST,
              "\tpush new root ",
              sibling.getStateId(),
              " onto stack for parent ",
              predecessorRelation.get(sibling).getStateId());
          sources.push(sibling);
        }
        assert (size <= 2);

        current = child;
      }

      return errorPathBuilder.build(current);
    }