Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Systematic Verification of the Modal Logic Cube in Isabelle/HOL   We present an automated verification of the well-known modal logic cube in
Isabelle/HOL, in which we prove the inclusion relations between the cube's
logics using automated reasoning tools. Prior work addresses this problem but
without restriction to the modal logic cube, and using encodings in first-order
logic in combination with first-order automated theorem provers. In contrast,
our solution is more elegant, transparent and effective. It employs an
embedding of quantified modal logic in classical higher-order logic. Automated
reasoning tools, such as Sledgehammer with LEO-II, Satallax and CVC4, Metis and
Nitpick, are employed to achieve full automation. Though successful, the
experiments also motivate some technical improvements in the Isabelle/HOL tool.

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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: nlin
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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex