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Directory:Jon Awbrey/Papers/Propositions As Types
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Revision as of 12:56, 24 March 2009
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12:56, 24 March 2009
→Composition, or the Composer
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==Composition, or the Composer==
==Composition, or the Composer==
−
===Step 1
.
===
+
===Step 1===
−
<pre>
+
We are given
a specification of the
''
composition combinator
''
, or the
''
composer
'' <math>\operatorname{
P
}
,
</math> in terms of
the following effects:
−
Given
a specification of the
"
composition combinator
"
,
−
or the
"
composer
"
P,
that has
the following effects:
−
x(y(
zP
))
=
(xy)z
+
{| align="center" cellpadding="8" width="90%"
+
| <math>
x(y(
z\operatorname{P}
)) = (xy)z
</math>
+
|}
−
find an explication of P in terms of primitive combinators.
+
We are asked to
find an explication of
<math>\operatorname{
P
}</math>
in terms of primitive combinators.
+
<pre>
Proceed as follows:
Proceed as follows:
Jon Awbrey
12,080
edits