Abstract
We present an embedding of quantified multimodal logics into simple type theory and prove its soundness and completeness. A correspondence between QKπ models for quantified multimodal logics and Henkin models is established and exploited. Our embedding supports the application of off-the-shelf higher-order theorem provers for reasoning within and about quantified multimodal logics. Moreover, it provides a starting point for further logic embeddings and their combinations in simple type theory.
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This work received support from the German Research Foundation (DFG) [grant number BE 2501/6-1 and BE 2501/9-1].
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Benzmüller, C., Paulson, L.C. Quantified Multimodal Logics in Simple Type Theory. Log. Univers. 7, 7–20 (2013). https://doi.org/10.1007/s11787-012-0052-y
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DOI: https://doi.org/10.1007/s11787-012-0052-y