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===In mathematical logic=== In [[mathematical logic]], a formula (often referred to as a ''[[well-formed formula]]'') is an entity constructed using the symbols and formation rules of a given [[formal language|logical language]].<ref>{{Citation |last=Rautenberg |first=Wolfgang |author-link=Wolfgang Rautenberg |doi=10.1007/978-1-4419-1221-3 |title=A Concise Introduction to Mathematical Logic |publisher=[[Springer Science+Business Media]] |location=[[New York City|New York, NY]] |edition=3rd |isbn=978-1-4419-1220-6 |year=2010 }}</ref> For example, in [[first-order logic]], :<math>\forall x \forall y (P(f(x)) \rightarrow\neg (P(x) \rightarrow Q(f(y),x,z)))</math> is a formula, provided that <math>f</math> is a unary function symbol, <math>P</math> a unary predicate symbol, and <math>Q</math> a ternary predicate symbol.
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