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@Mauro ALLEGRANZA: Thank you for these references. I actually need to know about Kripke models for a philosphy course I am attending on reference and acquintance so presumably both Garson and Burgess would be appropriate reading material. That is given the time...
Thank you, I heard something along these lines (which I tried to formulate), a while ago from a logician and now I believe that what you write above must be what he had in mind. I will look at the paper.