tiletest.java

public class Level {
  // your other stuff here
  
  public Tile getTile(int x, int y) {
    if (x < 0 || y < 0 || x >= world_width || y >= world_height) return null;
    
    return tiles[x][y];
  }
  
  public void setTile(int x, int y, Tile tile) {
    if (x < 0 || y < 0 || x >= world_width || y >= world_height) return;
    
    tiles[x][y] = tile;
  }
}

public class Tile {
  // ... stuff here
  
  public void onUpdate(Level level, int x, int y) {
    // nothing here, base tile does nothing
  }
}

public abstract class LampTile extends Tile {
  
  @Override
  public void onUpdate(Level level, int x, int y) {
    if (this instanceof LampTileOff) {
      // this is an off lamp, check for any power blocks
      // I actually ignore having an out of bounds check since getTile/setTile should have one
      if (level.getTile(x - 1, y) instanceof PowerTile || 
          level.getTile(x + 1, y) instanceof PowerTile || 
          level.getTile(x, y - 1) instanceof PowerTile || 
          level.getTile(x, y + 1) instanceof PowerTile) {
        level.setTile(x, y, Tiles.lampTileOn);
      }
    } else if (this instanceof LampTileOn) {
      // this is an on lamp, none of the tiles should be power tiles
      if (!(level.getTile(x - 1, y) instanceof PowerTile) && 
          !(level.getTile(x + 1, y) instanceof PowerTile) && 
          !(level.getTile(x, y - 1) instanceof PowerTile) && 
          !(level.getTile(x, y + 1) instanceof PowerTile)) {
        level.setTile(x, y, Tiles.lampTileOff);
      }
    }
  }
  
}

public class LampTileOn extends LampTile {
  // nothing needed since LampTile's onUpdate handles things for us
}

public class LampTileOff extends LampTile {
  // same deal here
}