Untersuchungen über das logische Schließen

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Untersuchungen über das logische Schließen is Gerhard Gentzen’s landmark 1934–35 work that founded structural proof theory and introduced natural deduction and sequent calculus.

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Untersuchungen über das logische Schließen canonical 1

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Predicate Object
instanceOf scholarly article
work in proof theory
aim to analyze the structure of logical inference
to provide rigorous systems for logical deduction
author Gerhard Gentzen
authorAffiliation University of Göttingen
cites David Hilbert
Jan Łukasiewicz
Paul Bernays
contributedTo foundations of structural proof theory
linked to: proof theory
countryOfOrigin Germany
era 1930s logic
field mathematical logic
proof theory
focusesOn formalization of logical inference
rules of inference for logical connectives
structural properties of proofs
hasEnglishTitle Investigations into Logical Deduction
hasKeyConcept introduction and elimination rules
proof transformation
sequents
structural rules
hasPart first paper on natural deduction
second paper on sequent calculus
historicalSignificance foundational work in 20th-century logic
standard reference in proof theory
influenced automated theorem proving
modern proof theory
philosophy of logic
type theory
introduced natural deduction calculus
sequent calculus
structural rules in sequent calculus
logicSystemType classical logic
intuitionistic logic
method axiomatic and rule-based presentation of logic
formal proof systems
originalLanguage German
publicationYear 1934
1935
publishedIn Mathematische Zeitschrift
topic formal deduction systems
logical consequence
natural deduction
sequent calculus
structural proof theory

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Gerhard Gentzen notableWork Untersuchungen über das logische Schließen