# Typing environment

(Redirected from Environment (type theory))
In type theory a typing environment (or variable assignment) represents the association between variables names and data types. More formally an environment ${\displaystyle \Gamma }$ is a set or ordered list of pairs ${\displaystyle \langle x,\tau \rangle }$, usually written as ${\displaystyle x:\tau }$, where ${\displaystyle x}$ is a variable and ${\displaystyle \tau }$ its type.