Talk:Hybrid logic

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How is @ip any different than  i \rightarrow p ?--SurrealWarrior 23:35, 31 March 2007 (UTC)

Consider for example @_a (i \rightarrow p) vs @a@ip. In the first case it is only claimed that p holds in world 'i' if 'a' and 'i' happen to refer to the same world; in the second case there is the claim that p holds in 'i', regardless of what world 'a' refers to. (Note that it is a given each nominal refers to some world). I suppose you could look at it that @ip claims that  i \rightarrow p holds everywhere, rather than just at the point of evaluation (i.e. world 'a' in the example).