(databases) A set of references (or, more precisely, inference rules) used to infer all the functional dependencies on a relational database.

plural of Wightman axiom

plural of Peano axiom

plural of completeness axiom

plural of axiom schema

plural of axiom scheme

(logic) A formula in the language of an axiomatic system, in which one or more schematic variables appear, which stand for any term or subformula of the system, which may or may not be required to satisfy certain conditions.

(logic) A formula in the language of an axiomatic system, in which one or more schematic variables appear, which stand for any term or subformula of the system, which may or may not be required to satisfy certain conditions.

A set of axioms or axiom schemata from which theorems can be derived.

(mathematics) The following axiom (applied to an ordered field): for any subset of the given ordered field, if there is any upper bound for this subset, then there is also a supremum for this subset, and this supremum is an element of the given ordered field (though not necessarily of the subset).