[FOM] History of computable functions

Billy Hudson billyhudson at boisestate.edu
Wed Nov 4 15:17:50 EST 2009


Epstein and Carnielli provide a 28 page annotated timeline, "Computability
and Undecidability a Timeline: The story of the development of the theory of
computable functions and the undecidability of arithmetic to 1970" in the
back of their book:

"Computability: Computable Functions, Logic, and the Foundations of
Mathematics",
3rd edition,
Published by Advanced Reasoning Forum (ARF)
2008
ISBN: 978-0-9815507-2-5

The text itself is replete with historical and philosophical discussions
that accompany the technical details.

best,
billy

On Wed, Nov 4, 2009 at 1:12 AM, Andrej Bauer <andrej.bauer at andrej.com>wrote:

> A student of mine is working on a seminar in which he will show in
> excruciating detail that the general recursive functions embed in
> untyped lambda calculus (this is at undergraduate level). He would
> like to know more about the history of computable functions, lambda
> calculus, Turing machines, etc., with a reasonably correct timeline of
> who did what when. Can someone please suggest some reading material?
>
> Thanks!
>
> Andrej Bauer
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> FOM at cs.nyu.edu
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