Possible Worlds with Varying Domains
The neighbourhood structures had the property that all possible worlds had the same domain of individuals. Kripke structures also satisfied a restriction, namely tRs → Ut⊆ us, i.e., all the individuals of one world t appear in all the worlds s possible relative to t. This chapter deals with structures where the domains of the possible worlds is arbitrary, i.e., is allowed to vary. Such structures occur in several contexts, e.g., tense logics where people are born and die and causal logics where elements may cease to exist.
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