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


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