Resolution and the Origins of Structural Reasoning: Early Proof-Theoretic Ideas of Hertz and Gentzen (Extended Version)

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URI: http://hdl.handle.net/10900/128465
http://nbn-resolving.de/urn:nbn:de:bsz:21-dspace-1284650
http://dx.doi.org/10.15496/publikation-69828
Dokumentart: Sonstiges
Date: 2002
Language: English
Faculty: 7 Mathematisch-Naturwissenschaftliche Fakultät
Department: Informatik
DDC Classifikation: 004 - Data processing and computer science
100 - Philosophy
510 - Mathematics
Keywords: Logik , Beweistheorie , Gentzen, Gerhard
Other Keywords: Hertz, Paul
Gentzen, Gerhard
Strukturregel
Resolutionsverfahren
Gentzen, Gerhard
logic
proof theory
structural rule
Hertz, Paul
resolution method
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Abstract:

Extended version of a paper with the same title, which appeared in the Bulletin of Symbolic Logic in 2002. Abstract of the (shorter) published version: "In the 1920s, Paul Hertz (1881–1940) developed certain calculi based on structural rules only and established normal form results for proofs. It is shown that he anticipated important techniques and results of general proof theory as well as of resolution theory, if the latter is regarded as a part of structural proof theory. Furthermore, it is shown that Gentzen, in his first paper of 1933, which heavily draws on Hertz, proves a normal form result which corresponds to the completeness of propositional SLD-resolution in logic programming."

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