In
type theory
In mathematics, logic, and computer science, a type theory is the formal presentation of a specific type system, and in general type theory is the academic study of type systems. Some type theories serve as alternatives to set theory as a fou ...
a typing environment (or typing context) represents the association between variable names and
data types.
More formally an environment
is a set or ordered list of pairs
, usually written as
, where
is a variable and
its type.
The
judgement
Judgement (or US spelling judgment) is also known as ''adjudication'', which means the evaluation of evidence to make a decision. Judgement is also the ability to make considered decisions. The term has at least five distinct uses. Aristotle s ...
:
is read as "
has type
in context
".
In
statically typed programming language
A programming language is a system of notation for writing computer programs. Most programming languages are text-based formal languages, but they may also be graphical. They are a kind of computer language.
The description of a programming ...
s these environments are used and maintained by
typing rules to
type check a given program or expression.
See also
*
Type system
In computer programming, a type system is a logical system comprising a set of rules that assigns a property called a type to every "term" (a word, phrase, or other set of symbols). Usually the terms are various constructs of a computer progr ...
References
Data types
Program analysis
Type theory
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