There have been a few suggestions by the Indonesian officials on this - can you elaborate on which corporations exactly? I'm not saying that you're wrong, but I've not been able to find direct information on "non-Indonesian corporations" who engage in illegal burning, so if you have sources, that would be great.
It's a blame game.
Can anyone deny that the source of the fire originates from Sumatra Indonesia? Is Indonesia a sovereign nation or not?
If Indonesia says that it is not responsible for the fires because they are started by non-Indonesian corporations operating on Indonesian soil, then either you are very naive or Singapore would be fully justified in mobilizing its armed forces to deal with the situation.
In the interest of full disclosure...
It's NON-Indonesian corporations that are the ones engaging in the illegal burning. Further, some of those corps are controlled out of Singapore. Which is ... ironic.