On 4/11/2011 4:36 AM, rusi wrote:

http://www.cse.uconn.edu/~dqg/papers/cie05.pdf

may be of interest (and also other papers of Peter Wegner questioning
the universality of Turing machines lambda calculus etc)

Thank you for that reference. In summary, it says that while Turing machine are universal for finite function calculations, infinite interactive processes are not (finite) function calculations, and therefore need an extension to TMs. This is pretty obviously correct.

Python iterators, and especially generators, implement the extension that the authors call 'persistent Turing machines' (PTMs, section 6.2), except that iterators (and generators by default) operate in 'pull' mode, while they describe PTMs as operating in 'push' mode (as with generator.send()).

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Terry Jan Reedy

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