plural of axiom of choice

(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

(set theory) One of the axioms of set theory, equivalent to the statement that an arbitrary direct product of non-empty sets is non-empty; any version of said axiom, for example specifying the cardinality of the number of sets from which choices are made.

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.