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- Skolem normal form - A formula of first-order logic is in Skolem normal form (named after Thoralf Skolem) if its prenex normal form only contains universal quantifiers. Every first-order formula can be converted into Skolem normal form while not changing its satisfiability via a process called Skolemization.
- Thoralf Skolem - | birth_place = Sandsvaer, Buskerud, Norway
- Herbrandization - The Herbrandization of a logical formula (named after Jacques Herbrand) is a construction that is dual to the Skolemization of a formula. Thoralf Skolem had considered the Skolemizations of formulas in prenex form as part of his proof of the Löwenheim-Skolem theorem (Skolem 1920).
- Skolem–Noether theorem - In mathematics, the Skolem–Noether theorem, named after Thoralf Skolem and Emmy Noether, is an important result in ring theory which characterizes the automorphisms of simple rings.