+For these assignments, you'll probably want to use a "lambda calculator" to check your work. This accepts any grammatical lambda expression and reduces it to normal form, when possible. See the page on [[using the programming languages]] for instructions and links about setting this up.
+
+
More Lambda Practice
--------------------
<LI>`(\x y z. x z (y z)) (\u v. u)`
</OL>
+Combinatory Logic
+-----------------
+
+Reduce the following forms, if possible:
+
+1. Kxy
+2. KKxy
+3. KKKxy
+4. SKKxy
+5. SIII
+6. SII(SII)
+
+* Give Combinatory Logic combinators that behave like our boolean functions.
+ You'll need combinators for true, false, neg, and, or, and xor.
+
+Using the mapping specified in the lecture notes,
+translate the following lambda terms into combinatory logic:
+
+1. \x.x
+2. \xy.x
+3. \xy.y
+4. \xy.yx
+5. \x.xx
+6. \xyz.x(yz)
+
+* For each translation, how many I's are there? Give a rule for
+ describing what each I corresponds to in the original lambda term.
Lists and Numbers
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