// Workers AI · traducción al español
Tipo Medio Ambiente
En la teoría de tipos, un entorno de escritura representa la asociación entre los nombres de variables y los tipos de datos.
Traducción generada por IA. El artículo original en inglés continúa abajo.
// Workers AI · dad joke mode What did the typing environment say? "I'm spaced out.
From Wikipedia, the free encyclopedia
In type theory , a typing environment (or typing context ) represents the association between variable names and data types .
More formally, an environment
Γ
{\displaystyle \Gamma }
⟨
x
,
τ
⟩
{\displaystyle \langle x,\tau \rangle }
x
:
τ
{\displaystyle x:\tau }
x
{\displaystyle x}
τ
{\displaystyle \tau }
The judgement
Γ
⊢
e
:
τ
{\displaystyle \Gamma \vdash e:\tau }
is read as "
e
{\displaystyle e}
τ
{\displaystyle \tau }
Γ
{\displaystyle \Gamma }
[ 1]
For each function body type checks:
Γ
=
{
(
f
,
τ
1
×
.
.
.
×
τ
n
→
τ
0
)
|
(
f
,
x
s
,
(
τ
1
,
.
.
.
,
τ
n
)
,
t
f
,
τ
0
)
∈
e
}
{\displaystyle \Gamma =\{(f,\tau _{1}\times ...\times \tau _{n}\to \tau _{0})|(f,xs,(\tau _{1},...,\tau _{n}),t_{f},\tau _{0})\in e\}}
Typing Rules Example:
Γ
⊢
b
:
B
o
o
l
,
Γ
⊢
t
1
:
τ
,
Γ
⊢
t
2
:
τ
Γ
⊢
(
if
(
b
)
t
1
else
t
2
)
:
τ
{\displaystyle {\begin{array}{c}\Gamma \vdash b:Bool,\Gamma \vdash t_{1}:\tau ,\Gamma \vdash t_{2}:\tau \\\hline \Gamma \vdash ({\text{if}}(b)t_{1}{\text{else}}t_{2}):\tau \\\end{array}}}
In statically typed programming languages , these environments are used and maintained by typing rules to type check a given program or expression.[ 1]
