formuladefinition

Formuladefinition is the specification of what constitutes a formula within a given formal language or domain. In mathematics and logic, a formula is a symbolic expression constructed from an alphabet of symbols using formation rules that determine valid syntax and, in many cases, interpretation.

A formuladefinition generally includes: the symbol alphabet; the syntax rules for building formulas (the grammar); and, when relevant, the semantic rules that assign meaning or truth conditions to formulas.

In formal logic, a well-formed formula (wff) is defined by recursive rules that specify how variables, connectives, quantifiers, and predicates may be combined. The definition also clarifies free versus bound variables and substitution behavior.

In computing and data contexts, a formula definition describes an expression that computes a value from inputs. It specifies the operator set, operand types, evaluation order, and how dependencies are tracked or updated. Named formulas and macros are common forms.

In chemistry, a chemical formula definition identifies the notation used to express composition, such as empirical or molecular formulas, element symbols, and counts; parentheses and hydration notation are used for groups.

A clear formuladefinition supports parsing, validation, and automation, reducing ambiguity across disciplines and enabling consistent interpretation, verification, and reuse.