Typing environment
In type theory a typing environment (or variable assignment) represents the association between variables names and data types.
More formally an environment  is a set or ordered list of pairs
 is a set or ordered list of pairs  , usually written as
, usually written as  , where
, where  is a variable and
 is a variable and  its type.
 its type.
In statically typed programming languages these environments are used and maintained by type rules to type check a given program or expression.
See also
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