Thanks, that helps.

In the way I read this, it sounds like you want a program that computes the 
most efficient search algorithm regardless of the context in which said 
algorithm is used.

Is that accurate?

~slg

‐‐‐‐‐‐‐ Original Message ‐‐‐‐‐‐‐
On Thursday, September 5, 2019 1:48 PM, Adam Golding <[email protected]> 
wrote:

> Basically I want to enumerate programs with as few assumptions as possible 
> aka enumerate the largest set of programs I can--I want to be able to 
> enumerate them in a variety of different orders to compare search strategies.
>
> On Thursday, 5 September 2019 13:46:54 UTC-4, Adam Golding wrote:
>
>> I want to try automating programming as search where I have various methods 
>> to enumerate the set of all programs in different orders (fastest to halt 
>> first?  shortest source code first? etc.) and filter out certain programs 
>> almost like evolutionary programming.  I don't have a specific application 
>> in mind really, I wanted to have various enumerators to experiment with, not 
>> unlike the opening of "New Kind of Science", where Wolfram generates all 
>> possible CA programs and then categorizes them according to their behavior.
>>
>> The idea also came up recently in this context: 
>> https://www.facebook.com/adamgolding/posts/10106973704058242
>>
>> On Thursday, 5 September 2019 13:17:32 UTC-4, Sage Gerard wrote:
>>
>>> This question can be read a couple of different ways too. What are you 
>>> trying to do once you have the answer you are looking for?
>>>
>>> -------- Original Message --------
>>> On Sep 5, 2019, 1:13 PM, Adam Golding < [email protected]> wrote:
>>>
>>>> What is the shortest program listing the largest list of programs that can 
>>>> be listed without looping?
>>>>
>>>> On Thursday, 5 September 2019 11:10:59 UTC-4, dvanhorn wrote:
>>>>
>>>>> How about this: a stream of strings which can be be parsed and
>>>>> compiled.  (Note that this will loop when it gets to the first program
>>>>> that makes the compiler loop; luckily it's inefficient enough that
>>>>> you'll never actually get there.)
>>>>>
>>>>> #lang racket
>>>>> (define valid-progs
>>>>>   (for/stream ([p strings]
>>>>>                #:when (valid p))
>>>>>     p))
>>>>>
>>>>> (define strings
>>>>>   (stream-cons ""
>>>>>                (for*/stream ([s strings]
>>>>>                              [i (in-range 0 #x10FFFF)]
>>>>>                              #:when (not (<= #xD800 i #xDFFF)))
>>>>>                  (string-append (string (integer->char i)) s))))
>>>>>
>>>>> (define (valid x)
>>>>>   (with-handlers ([exn:fail? (λ _ #f)])
>>>>>     (compile (with-input-from-string x
>>>>>                (λ () (begin0 (read)
>>>>>                              (unless (eof-object? (read))
>>>>>                                (error "fail"))))))
>>>>>     x))
>>>>>
>>>>> On Thu, Sep 5, 2019 at 10:58 AM Adam Golding <[email protected]> wrote:
>>>>>>
>>>>>> It's okay if the program never halts.
>>>>>>
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