2018-05-22 1:54 GMT+03:00 Linas Vepstas <[email protected]>:

> On Sat, May 19, 2018 at 1:00 PM, Alexey Potapov <[email protected]>
> wrote:
>
>> Well... traditional probabilistic programming is a logical probabilistic
>> programming. It's definitely not about lambda-calculus.
>>
>
> I don't know what to do with this statement. There is a famous theorem,
> the church-turing theorem, dating to the 1930's, that states that anything
> turing-computable is equivalent to lambda calculus. There have been many
> extensions, refinements, generalizations and clarifications of that
> theorem, since then.
>

Hmm... I thought you were talking about differences in alternative
formalizations of algorithms. Of course, they are all equivalent. But what
did you mean then saying you don't like lambda-calculus?


>
> If you have a probabilistic programming language working on a modern-day
> digital computer, then its lambda-calculus. If you have a theoretical
> algebra working on infinite-precision topological spaces, that's something
> else. The quantum-computing machines are often understood as
> infinite-precision topological vector-space machines  (where the space is
> complex-projective, and the operators are unitary).
>

Well... if you meant super-Turing computations, then this is completely
different story... It's fun, but I would not like to discuss it in this
context.

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