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Quantified Multimodal Logics in Simple Type Theory (0905.2435v1)
Published 14 May 2009 in cs.AI and cs.LO
Abstract: We present a straightforward embedding of quantified multimodal logic in simple type theory and prove its soundness and completeness. Modal operators are replaced by quantification over a type of possible worlds. We present simple experiments, using existing higher-order theorem provers, to demonstrate that the embedding allows automated proofs of statements in these logics, as well as meta properties of them.