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jim
<jim@web>
Fri, 20 Feb 2015 18:15:44 +0000
(13:15 -0500)
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Linux User
<ikiwiki@localhost.members.linode.com>
Fri, 20 Feb 2015 18:15:44 +0000
(13:15 -0500)
exercises/_assignment4.mdwn
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b/exercises/_assignment4.mdwn
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exercises/_assignment4.mdwn
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exercises/_assignment4.mdwn
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-96,8
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addition, and exponentiation is defined in terms of multiplication.
8. Find a fixed point `ξ` for the successor function. Prove it's a fixed
point, i.e., demonstrate that `succ ξ <~~> ξ`.
8. Find a fixed point `ξ` for the successor function. Prove it's a fixed
point, i.e., demonstrate that `succ ξ <~~> ξ`.
- We've had surprising success embedding normal arithmetic in the
l
ambda
-
c
alculus, modeling the natural numbers, addition, multiplication, and
+ We've had surprising success embedding normal arithmetic in the
L
ambda
+
C
alculus, modeling the natural numbers, addition, multiplication, and
so on. But one thing that some versions of arithmetic supply is a
notion of infinity, which we'll write as `inf`. This object usually
satisfies the following constraints, for any finite natural number `n`:
so on. But one thing that some versions of arithmetic supply is a
notion of infinity, which we'll write as `inf`. This object usually
satisfies the following constraints, for any finite natural number `n`: