Herbrand's theorem is a fundamental result of mathematical logic obtained by Jacques Herbrand (1930). It essentially allows a certain kind of reduction...
5 KB (787 words) - 13:44, 16 October 2023
arithmetic. The proof uses the above-mentioned, proof-theoretic Herbrand's theorem. Herbrand finished his doctorate at École Normale Supérieure in Paris under...
6 KB (601 words) - 20:36, 28 August 2024
mathematics, the Herbrand–Ribet theorem is a result on the class group of certain number fields. It is a strengthening of Ernst Kummer's theorem to the effect...
5 KB (754 words) - 16:36, 21 January 2023
Ramification group (redirect from Herbrand's theorem on ramification groups)
(whereas lower numbering is compatible with passage to subgroups.) Herbrand's theorem states that the ramification groups in the lower numbering satisfy...
14 KB (2,553 words) - 21:40, 22 May 2024
c), R(c, fc), R(fc, fc), R(ffc, c), ...} Herbrand's theorem Herbrandization Herbrand interpretation "Herbrand Semantics". Ebbinghaus, Heinz-Dieter; Flum...
5 KB (495 words) - 11:12, 10 October 2023
Moreover, Herbrand's theorem states that if S is unsatisfiable then there is a finite unsatisfiable set of ground instances from the Herbrand universe...
2 KB (205 words) - 12:35, 10 October 2023
formulas in Σ . {\displaystyle \Sigma .} Barwise compactness theorem Herbrand's theorem – reduction of first-order mathematical logic to propositional...
14 KB (1,948 words) - 18:48, 19 January 2024
Herbrandization (redirect from Herbrand normal form)
generalized to apply to non-prenex formulas as well, in order to prove Herbrand's theorem (Herbrand 1930). The resulting formula is not necessarily equivalent to...
4 KB (591 words) - 17:35, 15 April 2024
sets) Helmholtz theorem (classical mechanics) (physics) Helmholtz's theorems (physics) Herbrand's theorem (logic) Herbrand–Ribet theorem (cyclotomic fields)...
73 KB (6,015 words) - 12:17, 2 August 2024
Iwasawa theory (redirect from Iwasawa theorem)
converse to Herbrand's theorem (the so-called Herbrand–Ribet theorem). Karl Rubin found a more elementary proof of the Mazur-Wiles theorem by using Kolyvagin's...
10 KB (1,312 words) - 21:24, 17 January 2024