X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?p=lambda.git;a=blobdiff_plain;f=week1.mdwn;h=b864d0242a2259ee8572c660c673482f884d8d48;hp=6fadd1fa5d542cd0f20dbcbae37d00f99d3a9d29;hb=e03255ddae02ece51142cef0e37eccde9c4409cd;hpb=8a13569351741eaad4b9990b7e21b7f92ae37ff9 diff --git a/week1.mdwn b/week1.mdwn index 6fadd1fa..b864d024 100644 --- a/week1.mdwn +++ b/week1.mdwn @@ -114,19 +114,19 @@ The lambda calculus we'll be focusing on for the first part of the course has no Here is its syntax:
-**Variables**: `x`, `y`, `z`, ... +Variables:Each variable is an expression. For any expressions M and N and variable a, the following are also expressions:x
,y
,z
...
-**Abstract**:-We'll tend to write(λa M)
+Abstract:(λa M)
(λa M)
as just `( \a M )`.
+We'll tend to write (λa M)
as just `(\a M)`, so we don't have to write out the markup code for the λ
. You can yourself write (λa M)
or `(\a M)` or `lambda a M`.
-**Application**: `(M N)`
+Application: (M N)
Some authors reserve the term "term" for just variables and abstracts. We won't participate in that convention; we'll probably just say "term" and "expression" indiscriminately for expressions of any of these three forms.