From Schütte’s Formal Systems to Modern Automated Deduction

Wolfgang Bibel () and Jens Otten ()
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Wolfgang Bibel: Darmstadt University of Technology
Jens Otten: University of Oslo

Chapter Chapter 13 in The Legacy of Kurt Schütte, 2020, pp 217-251 from Springer

Abstract: Abstract The paper traces the development of a family of high-performance proof systems out of formal first-order logical systems due to Kurt Schütte. In a first step Schütte’s basic classical system is compressed by eliminating its redundancy leading to syntactic characterizations of validity exclusively in terms of formula features including connections. In a second step connection calculi for various logics are developed on the basis of this characterization. Their implementations, leanCoP for classical clausal logic, nanoCoP for classical non-clausal logic, ileanCoP for intuitionistic logic, and MleanCoP for various modal logics, turn out to be among the best performing proof systems internationally. Schütte’s influences to Automated Deduction are pointed out by way of this exposition.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-49424-7_13

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DOI: 10.1007/978-3-030-49424-7_13

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