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  1. Quantified Multimodal Logics in Simple Type Theory.Christoph Benzmüller & Lawrence C. Paulson - 2013 - Logica Universalis 7 (1):7-20.
    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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  • Multimodal and intuitionistic logics in simple type theory.Christoph Benzmueller & Lawrence Paulson - 2010 - Logic Journal of the IGPL 18 (6):881-892.
    We study straightforward embeddings of propositional normal multimodal logic and propositional intuitionistic logic in simple type theory. The correctness of these embeddings is easily shown. We give examples to demonstrate that these embeddings provide an effective framework for computational investigations of various non-classical logics. We report some experiments using the higher-order automated theorem prover LEO-II.
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  • Automated reasoning in higher-order logic using the tptp thf infrastructure.Sutcliffe Geoff & Benzmüller Christoph - 2010 - Journal of Formalized Reasoning 3 (1):1-27.
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