Definition of Gentzen. Meaning of Gentzen. Synonyms of Gentzen

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Definition of Gentzen

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Meaning of Gentzen from wikipedia

- Gerhard Karl Erich Gentzen (24 November 1909 – 4 August 1945) was a German mathematician and logician. He made major contributions to the foundations...
- line of a proof is a conditional tautology (called a sequent by Gerhard Gentzen) instead of an unconditional tautology. Each conditional tautology is inferred...
- Gentzen's consistency proof is a result of proof theory in mathematical logic, published by Gerhard Gentzen in 1936. It shows that the Peano axioms of...
- modern form was independently proposed by the German mathematician Gerhard Gentzen in 1933, in a dissertation delivered to the faculty of mathematical sciences...
- second order completeness axiom. In the 1930s, Kurt Gödel and Gerhard Gentzen proved results that cast new light on the problem. Some feel that Gödel's...
- (or Gentzen's Hauptsatz) is the central result establishing the significance of the sequent calculus. It was originally proved by Gerhard Gentzen in his...
- the consistency of foundational theories. Results of Kurt Gödel, Gerhard Gentzen, and others provided partial resolution to the program, and clarified the...
- if it is classically satisfiable. The Gödel–Gentzen translation (named after Kurt Gödel and Gerhard Gentzen) ****ociates with each formula φ in a first-order...
- were identified in the founding paper by Gentzen (1934, p. 194). Not all authors have adhered to Gentzen's original meaning for the word "sequent". For...
- Jaśkowski (1929) and Gerhard Gentzen (1934) independently provided such systems, called calculi of natural deduction, with Gentzen's approach introducing the...