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  1. CERES in higher-order logic.Stefan Hetzl, Alexander Leitsch & Daniel Weller - 2011 - Annals of Pure and Applied Logic 162 (12):1001-1034.
    We define a generalization of the first-order cut-elimination method CERES to higher-order logic. At the core of lies the computation of an set of sequents from a proof π of a sequent S. A refutation of in a higher-order resolution calculus can be used to transform cut-free parts of π into a cut-free proof of S. An example illustrates the method and shows that can produce meaningful cut-free proofs in mathematics that traditional cut-elimination methods cannot reach.
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  • The Higher-Order Prover LEO-II.Christoph Benzmüller, Nik Sultana, Lawrence C. Paulson & Frank Theiß - 2015 - Journal of Automated Reasoning 55 (4):389-404.
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  • Combined reasoning by automated cooperation.Christoph Benzmüller, Volker Sorge, Mateja Jamnik & Manfred Kerber - 2008 - Journal of Applied Logic 6 (3):318-342.
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