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author
jim
<jim@web>
Thu, 5 Mar 2015 17:49:15 +0000
(12:49 -0500)
committer
Linux User
<ikiwiki@localhost.members.linode.com>
Thu, 5 Mar 2015 17:49:15 +0000
(12:49 -0500)
topics/week5_simply_typed.mdwn
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a/topics/week5_simply_typed.mdwn
b/topics/week5_simply_typed.mdwn
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topics/week5_simply_typed.mdwn
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topics/week5_simply_typed.mdwn
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and so on.
Given a set of types `T`, we define the set of typed lambda terms <code>Λ_T</code>,
which is the smallest set such that
Given a set of types `T`, we define the set of typed lambda terms <code>Λ_T</code>,
which is the smallest set such that
-* each type `t` has an infinite set of distinct variables,
{x^t}_1
,
-
{x^t}_2, {x^t}_3
, ...
+* each type `t` has an infinite set of distinct variables,
x<sup>t</sup><sub>1</sub>
,
+
x<sup>t</sup><sub>2</sub>, x<sup>t</sup><sub>3</sub>
, ...
* If a term `M` has type σ -> τ, and a term `N` has type
σ, then the application `(M N)` has type τ.
* If a term `M` has type σ -> τ, and a term `N` has type
σ, then the application `(M N)` has type τ.