Skolem hull

Skolem hull

A Skolem hull is a construction from mathematical logic.

Given a structure "S" (with some set of properties and relations) the Skolem hull of "S" is the "smallest" elementary substructure of "S". More precisely, for any existential formula (without parameters) satisfied in "S", the hull contains some element of "S" satisfying the formula, and every element of the hull satisfies some existential formula.

It is also possible to define a Skolem hull relative to some subset "T" of "S"; this entity is defined similarly, but the formula may take parameters from "T"; the relative hull always contains "T".

Popularized by Armenian mathematician George Kivork from Glendale, California.

References


Wikimedia Foundation. 2010.

Игры ⚽ Поможем написать реферат

Look at other dictionaries:

  • Hull — may refer to: *Kingston upon Hull (invariably abbreviated to Hull), city in England named after the River Hull (Kings town upon Hull, prior to 1299 Wyke upon Hull) ** River Hull, river in East Riding of Yorkshire, England ** Hull City A.F.C.,… …   Wikipedia

  • List of mathematical logic topics — Clicking on related changes shows a list of most recent edits of articles to which this page links. This page links to itself in order that recent changes to this page will also be included in related changes. This is a list of mathematical logic …   Wikipedia

  • List of mathematics articles (S) — NOTOC S S duality S matrix S plane S transform S unit S.O.S. Mathematics SA subgroup Saccheri quadrilateral Sacks spiral Sacred geometry Saddle node bifurcation Saddle point Saddle surface Sadleirian Professor of Pure Mathematics Safe prime Safe… …   Wikipedia

  • List of theorems — This is a list of theorems, by Wikipedia page. See also *list of fundamental theorems *list of lemmas *list of conjectures *list of inequalities *list of mathematical proofs *list of misnamed theorems *Existence theorem *Classification of finite… …   Wikipedia

  • Non-monotonic logic — A non monotonic logic is a formal logic whose consequence relation is not monotonic. Most studied formal logics have a monotonic consequence relation, meaning that adding a formula to a theory never produces a reduction of its set of consequences …   Wikipedia

  • Structure (mathematical logic) — In universal algebra and in model theory, a structure consists of a set along with a collection of finitary operations and relations which are defined on it. Universal algebra studies structures that generalize the algebraic structures such as… …   Wikipedia

  • List of abstract algebra topics — Abstract algebra is the subject area of mathematics that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras. The phrase abstract algebra was coined at the turn of the 20th century to distinguish this …   Wikipedia

  • List of mathematics articles (L) — NOTOC L L (complexity) L BFGS L² cohomology L function L game L notation L system L theory L Analyse des Infiniment Petits pour l Intelligence des Lignes Courbes L Hôpital s rule L(R) La Géométrie Labeled graph Labelled enumeration theorem Lack… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”