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formal language

noun
1.
a language designed for use in situations in which natural language is unsuitable, as for example in mathematics, logic, or computer programming. The symbols and formulas of such languages stand in precisely specified syntactic and semantic relations to one another
2.
(logic) a logistic system for which an interpretation is provided: distinguished from formal calculus in that the semantics enable it to be regarded as about some subject matter
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
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Contemporary definitions for formal language
noun

any language that is ceremonial or using a "high" register or hard words, such as a sermon, lecture, or poetry

noun

any language of symbols and formulas developed for systems which cannot work with natural language, such as computer programming and mathematics

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